29/8:
hihi 3 2, this is 1, one of the Fyp student doing decentralised vibration control, umm its regarding some fyp thingy, both me and 2 was wondering if we can meet up on thursday to clarify some doubts regarding our project, please get in touch with us if u can make it on thursday
Fu1...90297880
t1ks for everything:)
p/s: paiseh have to trouble you:P
30/8:
2 & 1,
sorry... i was a bit harsh on my words just now...let's check thro' our tasks:
Structural characteristics: max transmitted force & deformation experienced (using response spectra method) --> let's do separately & compare
Actuator: stroke>Dmax & Fa~=Fmax --> we select actuators accordingly
Matlab: both the CD & software on Monday
Labview: contact e other FYP w/i manual --> sign up with Mr Sit --> use Labview tutorial (also Internet for introduction)
Network sharing (start-->find-->Computer-->y2h7x2):use the files shared on network (I'm not closing my PC over e weekend) --> for Matlab (Quek eg.) goto --> FYP2002 --> Examples --> 30/8
let's meet up on Monday 2pm ... to discuss the structure frame & to use Matlab (it's easy to pick up) to calculate & plot dynamic responses
2/9:
2, remember to bring along e CD (on Control) I lent u last week ... the frame stiffness K needs static condensation technique (inside the notes with the e.g.) to reduce to SDOF ... how's ME & EE contacts ... how's Labview?
1, pls read up on LQR control (Quek's notes) ... e Matlab CD & manual is here (it requires nearly 500MB of space after installation) ...
5/9:
2 & 1, let's keep this straight ... your internal email should not come to me or the supervisors ... my batch tried it before ... & e consensus is that all programs, codes & results should not be email ... but only presented conscientiously during meetings ... remember e weekly meeting is not some FAQ .. but a c1ce to train your focus that is invaluable for thesis writing & presentation skills
6/9:
1, I checked your codes for uncontrolled responses ... only 2 errors:
"ode.m" should be named "ex101sys.m": same as the function name
"interpl" should be "interp1": 1 (one) @ back
On the network (y2h7x2 --> FYP2002 --> LQR --> Continuous time folder), I provide 2 sets of codes:
ex101.zip: corrected code for uncontrolled responses
excont1.zip: Quek's code for controlled (LQR) responses [try different weightings Q,R]
The benchmark problem is a rather complex one in that u need Matlab & Simulink skills plus LQR/LQG knowledge. In addition, the structure is "bilinear", hence we need consider two separate linear models with control gain Ki for each one.
I'll print out the benchmark paper for u. to access soft copy: goto y2h7x2 --> Bencmarks --> NLbench_seismic.pdf
let's meet on Monday (3pm). In the meantime, try out LQR & use Matlab textbook for plotting (plot, subplot): shown in Zip files.
2, u need to perform the following:
Labview headstart: Edgar (woman) around this week only, your friends & Labview tutorial
Structure: there is also a rod @ shake-table, we can use the same response spectra method to calculate Fmax & Dmax
Actuator capacity: u need both the material data specifications (Fuji specs & Quek's paper) & piezoelectric relations to calculate the piezo force actuation capacities (I have e relations, so I try working it for u as a rough estimate)
Sourcing: actuator requires calibration set-up (piezo is like concrete --> poor in tension --> normally requires pre-compression, done in Kamada 1997/8) --> the set-up can be like the one @ Annie air-con room
Sensor: although actuator is important, prepare for sensors - their properties, set-up & how Goh Kok 5 uses different sensors for different uses
For now, concentrate on learning Labview (I/O interface) & actuator sourcing & calibration.
2, I have compiled a collection on piezo materials ... plus constitutive relations (needed to calculate max actuation stress [sigma] & electric field E) ... look @ piezo constitutive.doc first ... interesting websites are also available
if the constitutive relations looks confusing ... reduce to scalars .. then apply piezo accordingly ... can use Excel .... another alternative is that we directly test Annie's actuators ... then we try fitting in the relationships
9/9:
2, a Labview compilation
11/9:
2 & 1, here are a compilation of useful journals & books that u might need ... they are all available in our library as well as Internet ...
For useful Internet journal sites, goto y2h7x2 --> favourites --> publications (lots of publishers' sites with abstracts of all current journals ... very useful)
2, this is a very relevant site for piezo actuators ... everything from material, fundamentals, calibration & usage:
http://www.physikinstrumente.com/tutorial/
also see how e benchmark researchers set-up their experiments:
http://www.nd.edu/~quake/facilities/sdceel.html
1, here's a short write-up on benchmarks
10/9:
5 4...
I left the book at home.
I will return it to you tomorrow.
I am learning labview under Eagar's guidance.
And as for the setting up of the experiment, shall I have a short discussion with you, tomorrow?
2
-----Original Message-----
From: Lai 5 4
Sent: Tue 9/10/2002 12:32 PM
To: Ooi Shein 2
Cc:
Subject: Ogata book
2, i need the Ogata textbook (Prentice Hall) on linear optimal control ... if u have it, pls return me ASAP, thx
-----Original Message-----
From: Lai 5 4
Sent: Friday, September 06, 2002 9:46 PM
To: Ooi Shein 2
Subject: RE: Project update
2, I have compiled a collection on piezo materials ... plus constitutive relations (needed to calculate max actuation stress [sigma] & electric field E) ... look @ piezo constitutive.doc first ... interesting websites are also available
if the constitutive relations looks confusing ... reduce to scalars .. then apply piezo accordingly ... can use Excel .... another alternative is that we directly test Annie's actuators ... then we try fitting in the relationships
14/9:
i apologise for my harsh comments ... let's re-train our focus on the project:
1,
objective: to realise (verify all formulations) numerically with robust LQR controller for the benchmark problem (Ohtori et al 2001)
intermediate step (tools): verify controller parameters for a SDOF bilinear system, then 2DOF & dynamic condensation
2,
objective: to realise (make SDOF set-up work) experimentally with robust LQR controller using piezoelectric sensors & actuators (Kamada et al 1997)
intermediate step (tools): Labview interfacing, actuator sourcing & calibration
Lai,
objective: To control dynamic response of an unbraced frame under ground excitations with parametric uncertainties and bounded disturbances for minimal energy requirement & optimal stable performance using a network of independent decentralized subsystem controllers, each with sensors and force-inserting stacked actuators
intermediate step (tools): structural knowledge, modern control knowledge, robust reliable controller (for FYP), adaptive controller (for non-linear systems), unification (of both controllers), verifications
20/9:
2, like to suggest the following procedure:
Check the formulations: response spectrum method (Fmax), Kamada bending moment control (my report - theoretical)
Calibration set-up: set a +ve sign convention for entire system; no need for shaking (not use shake table), mount the actuator(s) [note the nos. of actuators used, locations, their actuation directions]
Calibration requirements: actuation capacity (<10V with factor of safety: set at least 2) - need to investigate actuator failures, so more actuation required; (N/V) graph - {how many volts (V) to nos. of actuators at their locations, in their actuation directions in order to produce how many lateral shearing force (N) on the lumped mass}
Accelerometers: need to measure & interface
also, note the time delays: (1) between sending volts (V) to actually producing intended lateral shearing force (N) on the mass; (2) time between sensor pickup time & interface period
1, like to put forward the following remarks:
Plots: responses (x,vel,acc) & controls (u) with labels (weights used)
Counter-check & try calculate controlled acc: (1) same stiffness for bilinear model, (2) different stiffness
Resonance control: fix 2*pi*f=w=wn=sqrt(K/M) --> fix M --> derive K, then simulate: (1) uncontrolled, (2) controlled linear, (3) controlled bilinear
MDOF: how modal analysis (or mode superposition method) works --> how to control each mode (using Wang et al)
From benchmark (Ohtori et al 2001), pick the uncontrolled modes & characteristics of floor locations (bottom, middle, top) --> derive SDOF wn --> investigate the optimal parameters for LQR controller to use for each type of SDOF
Model reduction: compare Qu (dynamic condensation) & Ritz
23/9:
1, i realise that for acceleration responses, researchers & practioners are concerned only with the absolute acc. ... as the absolute acc. is the acc. at the DOF ... which directly affects occupants' safety & mec1ical excitations .... hence, plots (relative x, relative vel, abs acc., controls)
In benchmark, the relative x (=abs displacement of DOF - ground displacement) is not that important also, what matters is the relative drift storey drift (which is difference between relative x of lower DOF with relative of upper DOF) .... take note
2, like to point out the following:
Calibration set-up: to measure the actuation force (Fa) --> use either load cell or accelerometer (only for dynamics, not statics, since acc. in static=0)
Sensors: for accelerometer, when U stick it on the mass, & it is dynamic, the accelerometer output is volts (V) --> u need to calibrate the accelerometer to find its sensitivity: (g/V) which is how many volts (V) from the accelerometer is actually how much acceleration (in g or m/s/s) of the mass
Actuators: need to derive transmitted DOF actuated force (N) for input voltage (V) --> derive (N/V)
Shake table: i have done a short write-up here ... Mr Sit (Justice?) told me we can arrange for all of us (u, Liow Zee Ping & me) to learn the safe operation of the shake table from either Mr Koh or Mr Ow(l?) ... when both u & Liow are ready to use the shake table ... pls contact them & let me know when ... i like to learn with u all ... hopefully the transfer function iteration method works better t1 double integration
26/9:
2 & 1, i'm attending the seminar below & would be late for the meeting, u go ahead with Prof Ang:
2, there's a conference proceedings that has a lot of piezo. materials suitable for u on my table ... yellow cover ... just take it (but return to Central library yourself) if i'm not around ...
27/9:
I found quite a bit of piezo journels. Their discussion on piezo is much more clearer t1 the one in the text.
Me also contacted piezo supplier in Singapore and the one in Japan. And spoke to ur colleague on some piezo stuff. Haven't got to know piezo as an expert but much better now.
Soon, I will refabricate the cantilever beam myself.
Hopefully by end of next week we can test the piezo on the cantilever structure SDOF.
T1ks for the piezo info, will get it from you tomorrow.
2
28/9:
hihi 5 4
Actually i finished all the bilinear thingy comparison with the uncontrolled structure
and i have managed to derived the acceleration for the bilinear too
Plus i have also done matlab on controlled linear and uncontrolled and controlled linear subjected to resonance and bilinear subjected to resonance....
infact i have done many senarios and found that i have too much datas that i havent studied in precise....
so this week , i have a talk with prof ang and prof quek and so we agree that the pace should be made slower so that i can go into the details and they also mentioned that it i have to do it in such a way that i dont miss out the details and that it can be possible that the thesis eventually end up only solving for 1 dof and 2 dof (using LQR as the control algorithm) depending on the speed cause they dun want me to rush into the benchmark unless im pretty sure of wat im doing
But i have in the past week also read up on the notes of MDOF from prof queks notes and have returned the first set plus ur library book to u :)
its on your table:)
This week i will be analysing the graphs that i have chunk up and will ask prof quek regarding any discrepancy:)
Oh by the way i also have informed Prof Quek about your seminar thingy liaoz
-----Original Message-----
From: Lai 5 4
Sent: Fri 9/27/2002 4:21 PM
To: Lee Foo 1
Cc:
Subject: Summary of yr studies
1, can u email a summary of what u have studied in this week & what's to be studied next week?
28/9:
1, it's great that u have progressed a lot, but consolidation is as impt. Take the supervisors' advice ... plus for acc. plot only the abs acc. = rel. acc. + EQ ... just add the EQ into xdot (rel acc.) for all time steps ... when u r ready for LQR, u can approach me to intro u to robust reliable LQR
29/9:
1, study LQR properties thoroughly .. both simulating & formulating ... understand inside out .. outside in ... then we'll go into robust & reliable
-----Original Message-----
From: Lee Foo 1 <[email protected]>
To: Lai 5 4 <[email protected]>
Date: Saturday, September 28, 2002 8:21 PM
Subject: RE: Summary of yr studies
Is there a big difference between the LQR and the robust reliable LQR?
I thought our subject was to investigate if the structure can be control using LQR?
cause im moving towards that direction for my FYP
Do advise me for this cause the prof seems ok that im inverstigating the LQR
2/10:
1 & 2, i'm have attend a seminar on Fri ... pls go ahead w/i supervisors
Intelligent Transportation Systems Applications in Singapore
3/10:
1, how's it going? ... can we meet up earlier tomoro ... around 2.40p.m. ... like to intro u to a new layered control ... it chains up two or more separate LQR controls ... s.t. they perform tracking (remember regulation -->0, tracking is non-zero) ... see u
2, can u email abt yr work & plans after tomoro's meeting ... e schedule that i drew up for u is only tentative ... can modify it anytime ... pls inform me of c1ges
4/10:
always prepare contingency ... always backup the lastest successful program ... then work on a copy of that, instead of the original ... come earlier around 2.30 ... it doesn't sound big ... probably just coding errors on FFT & bilinear interfacing ... fundamentals should be sound
-----Original Message-----
From: Lee Foo 1
Sent: Thursday, October 03, 2002 10:26 PM
To: Lai 5 4
Subject: RE: friday meeting
got bigbig problem
its regarding the algorithm
I was checking on some small details after finishing deriving the FFt when i realise that the bilinear portion of the algorithm cannot work
Am still cracking my head...........See u tomorrow at 2:40pm
...............im drowning.........
5/10:
2, Prof Ang told me that we have to check our static calculation from response spectra method with dynamic response ... i think he means to carry out a dynamic response for all time steps using methods like Newmark-beta method & Runge Kutta method ... u can either carry out the evaluation using state space evaluation ... 1 knows this ... or u can use time-stepping method like Newmark which i have ... both are equivalent ... check that the peak dynamic response is smaller or equal to response spectra method
-----Original Message-----
From: Ooi Shein 2 <[email protected]>
To: Lai 5 4 <[email protected]>
Date: Saturday, October 05, 2002 1:34 AM
Subject: RE: friday meeting
Yup yup.. I brought it to school today but I've forgotten to return it to you.
Will be on ur table tomorrow.
T1ks
cheers
2
-----Original Message-----
From: Lai 5 4
Sent: Fri 10/4/2002 4:18 PM
To: Ooi Shein 2
Cc:
Subject: RE: friday meeting
2, remember to return e NLB book ... on materials engineering .. thnx
8/10:
Dear 5 4:
Hi... I have some questions to consult you.
It is mainly about the formulation of dynamic equation. I worked out the relation between actuating force and the response of the structure but it is not corrent as a static solution is not adequate or not correct to be precise... according to Prof Quek.
Anyway, can I see you this afternoon... may be about 5pm?
As for my plan for fyp, I will explain it to you later.
t1ks & regards
2
-----Original Message-----
From: Lai 5 4
Sent: Sat 10/5/2002 6:21 AM
To: Ooi Shein 2
Cc:
Subject: Re: friday meeting
2, Prof Ang told me that we have to check our static calculation from response spectra method with dynamic response ... i think he means to carry out a dynamic response for all time steps using methods like Newmark-beta method & Runge Kutta method ... u can either carry out the evaluation using state space evaluation ... 1 knows this ... or u can use time-stepping method like Newmark which i have ... both are equivalent ... check that the peak dynamic response is smaller or equal to response spectra method
-----Original Message-----
From: Ooi Shein 2 <[email protected]>
To: Lai 5 4 <[email protected]>
Date: Saturday, October 05, 2002 1:34 AM
Subject: RE: friday meeting
Yup yup.. I brought it to school today but I've forgotten to return it to you.
Will be on ur table tomorrow.
T1ks
cheers
2
9/10:
Ok
5 4 .. t1ks for the support:)
will look into it next week...have a test on coming monday ...need to strive for it:P
u take care and if u ever have a c1ce to find ur specs...heehee dun forget to inform me:P
...stay cheerful....1
-----Original Message-----
From: Lai 5 4
Sent: Wed 10/9/2002 3:53 PM
To: Lee Foo 1
Cc:
Subject: Syntax error corrected
1, just a syntax error (how u specify the command parameters):
a = fscanf(fid,'%i')
should be:
a = fscanf(fid,'%g')
g: floating-point, which is anything other t1 integer (i)
2, we can use wave propagation ... remember geology earthquake ... Chew Soon Hoe ... P-wave velocity Vp ... S-wave velocity Vs ... then these vibrations due to applied actuation/seismics travel thro' combination of Vp & Vs to reach the lumped masses ...
now ... refer to Kamada et al 1997, once u apply Mo(t), assume dynamic for generality, ... how does this deformation travels to the extreme ends? ... 1 way (not e only way) is thro' wave propagation (Tam Tiam Soon) ... we can 1st order wave propagation to estimate the dynamics
Here, i provide here a paper (Berryman 2001) ... focus on eq (1-2) is enough .. then Chew's notes on Vp & Vs .. plus our structure (M,C,K) ... u can arrive @ actuation transfer dynamics
11/10:
2, take note of e following when u test e piezo:
According to Jin Jing, a piezo patch breakdown voltage (when any more voltage has no actuation effects & piezo is spoilt) is abt. 100V per 1mm thickness of piezo patch
Pre-compression: needs to be > the max piezo expansion @ max -ve voltage s.t. piezo does not have net tension (brittle in tension like concrete)
Pre-compression also c1ges the piezo structure --> N-V graph would be different
If need be, u can test it past the 10V limit, but might have non-linear N-V & hysteresis
Wiring: approach those with experience how best to attach wires to the piezo. & in what directions
Actuation direction: +ve voltage (expansion or contraction) & -ve voltage
Voltage sequence: start 0, 0+dV,0+2dV...Vmax,Vmax-dV,Vmax-2dV,...,0,-dV,-2dV,...-Vmax,-Vmax+dV,...,0
N-V graph: actuation force (N) vs. actuation voltage (V) --> if suitably linear, then we can use a constant (N/V) ratio for both experimentation & simulation --> similar to Kamada's paper: 19.6kN/100V
Stroke insignificant: indept. due to our force-equilibrium calculations
Insufficient actuation force: either put in more actuators or put in a bigger, more powerful actuator
13/10:
2, like to request the following:
As the piezo properties c1ges with precompression (since induced piezo strain is non-zero, in the constitutive equations), for each precompression applied, (N-V) graph would be different.
Hence, each (N-V) graph should have the following labels:
type of actuator
precompression applied
piezo dimensions (esp. thickness)
plus any others should be included
16/10:
Hi... 5 4
I had my second attempt yesterday. The pieze seems to be still not responding.
I applied 10V, 20V and 30V of DC accordingly. No strain was observed. I also tried appling 10V AC, again, nothing was observed.
In fact, I already applied 500N precompression load to the piezo.
But again, when I apply loads to the piezo, there is voltage generated. At the range of 10V.
Running out of idea, I directly paste a strain guage onto the piezo and hoping to see strain in piezo, again no strain was observed when voltage is applied.
I will have final attempt today. To use osciloscope to detect and see if the piezo actually vibrate under AC.
2
18/10:
2, e talk is impt ... & next week's talk even more impt (legal) ... yes ... but e actuator calibration is critical @ this pt in this ... before exams & procurement must be done before then ... if Prof Quek is around, can u pls discuss this with him before making any moves ... also compile what u have done up to now (fundamentals, Labview, set-up) properly, so that after exams, u can pick easily ... else can be nightmare, re-learning all over again
-----Original Message-----
From: Ooi Shein 2
Sent: Friday, October 18, 2002 11:23 AM
To: Lai 5 4
Subject: Friday meeting
I am attending the Friday talk at 3pm.
So, I won't be meeting Prof Ang for today.
1, as exams is near ... no need to do anything further ... just compile & consolidate what u have done up to now (fundamentals, Matlab programs, formulations, ideas) properly, so that after exams, u can pick up easily ... else can be nightmare, re-learning all over again ...
20/11:
2,
yap, in e afternoon after 3p.m. ... if i'm not wrong, we should have e following:
Energy approach --> dynamics equation --> affects wn & damping ratio
Sinusoidal approach --> actuator operating: amplitude & frequency
Equate the two --> by fixing one constant --> derive required actuation
Calibration --> verify required actuation achievable w.r.t. piezo, equipment, EQ (El Centro) & our system (M,C,K)
Checking --> state space --> LQR feedback --> closed-loop system --> controlled wn & damping ratio --> check: should equate
-----Original Message-----
From: Ooi Shein 2
Sent: Wednesday, November 20, 2002 6:45 PM
To: Lai 5 4
Subject: RE: Piezo Testing
Would u be coming to NUS tomorrow? I think I will meet u tomorrow instead of today.
2
-----Original Message-----
From: Lai 5 4
Sent: Wed 11/20/2002 12:19 PM
To: Ooi Shein 2
Cc:
Subject: RE: Piezo Testing
2, Inverted Pendulum formulation into state-space tutorial:
http://www.engin.umich.edu/group/ctm/examples/pend/invpen.html
21/11:
2,
regarding yr questions:
Force equilibrium or displacement approach: Both are equivalent ... i.e. if we use Force Method (assume force equilibrium, impose compatibility), the dynamic equation is exactly same as Displacement Method (assume compatibility, impose equilibrium; e.g. Stiffness method) --> this is because both are consistent & can be derived from Energy Approach (Conservation of Energy) fundamentals --> whether we use either force or displacement, the dynamic results must be the same --> our M,C,K dynamic equation is actually an extension of the Stiffness Method (static) --> hence, displacement method (which is unique, as compared to force method which is non-unique)
Effect of actuation: 1) increase overall stiffness (k+A) --> stiffen system --> harder to displace from equilibrium; 2) increase damping (c+Aw) --> damping means energy loss from EQ-excited system --> use active means to apply energy to cancel out excitation energy --> i.e. similar to waves --> excitation waves are canceled out by almost perfectly anti-excitation waves [N.B. this is an expensive way - Xia strategy]; 3) Decrease inertia (m-Aw^2) --> less inertia --> less energy transmitted to lumped mass --> less excited acceleration --> less exponential effects on velocity & displacement
Effect of fixing actuator operating amplitude (A) & varying frequency (w): actuator is operated as a relay --> constant amplitude --> time-varying w --> switching between the extremes of amplitude by the frequencies --> relay is like a switch --> jumping between amplitudes depending on feedback requirements
25/11:
2 & 1,
welcome back online ... e end of an era makes e start of another ... w.r.t. our projects ... i'm here neither as a supervisor nor a worker ... i'm more of a remainder ... here are e impt milestones along the way:
Jan 2003: Interim report + presentation (30min) --> your prelim. results or methodologies must be completed, written & shown by 31Dec
May 2003: Presentation --> hardcore technical sparring + thesis draft
June 2003: Thesis in full
the time seems 2 yet is short ... like they used to say "an apple a day keeps the doctor away" ... i hope the same goes for us "a result a day keeps the supervisors at bay" ...
Below are remainders of our objectives ... if you like to c1ge them ... you must finalise them around the interim period ... beyond which would be too late (like Back to the Future):
2,
objective: either (1) to realise (make SDOF set-up work) experimentally with robust LQR controller using piezoelectric sensors & actuators (Kamada et al 1997)
or (2) to complete piezo calibration methodology and achieve realisation (both numerical & experimental)
intermediate step (tools): Labview interfacing, actuator sourcing & calibration
1,
objective: to realise (verify all formulations) numerically with robust LQR controller for the benchmark problem (Ohtori et al 2001)
intermediate step (tools): verify controller parameters for a SDOF bilinear system, then 2DOF & dynamic condensation
1: i'm finishing my layered paper formulation ... you can concentrate on MDOF fundamentals (the notes, mode superposition) ... we can then combine our efforts ... also Prof Ang is not available this Friday 29/11 & Prof Quek is busy with 2 conferences here in Singapore ...
Lai,
objective: To control dynamic response of an unbraced frame under ground excitations with parametric uncertainties and bounded disturbances for minimal energy requirement & optimal stable performance using a network of independent decentralized subsystem controllers, each with sensors and force-inserting stacked actuators
intermediate step (tools): structural knowledge, modern control knowledge, robust reliable controller (for FYP), adaptive controller (for non-linear systems), unification (of both controllers), verifications
if in any query, try various ways of doing the same things ... if all else fails ... approach people who can help ... also keep in mind two things:
Active progress: researching a new problem (created) or a new methodology or new tools (Labview, Simulink, materials) --> proper catalog & reporting
Active maintenance: consistent revision of fundamentals & merger of old problems/methodologies with the new ones
As an engineer myself, there are 3 aspects that i think most are some what afraid of:
Dynamics: as opposed to statics --> note Dynamics can be w.r.t. time (our case), space (geometry), concentration (chemical variation), or any c1ging parameters (which is everything)
Non-linearity: as opposed to linear --> although non-linear can be linearised, certain effects (sometimes critical) may not be captured --> many accidents happen this way --> traffic situations are inherently non-linear, hence need to take note
Inelastic: as opposed to elastic --> like elastic-plastic, elasto-plastic, ductility, yielding, fatigue, creep
i hope that we can all learn along the way ... there is just too much to learn .. hence, "a result a day keeps the supervisors at bay"
26/11:
1,
my comments:
* Stages 1-4: are tutorial in that people are already studying them in courses ... hence, you have to do things differently ... one of these is to use new improved LQR (rather t1 the same old LQR with simple Q,R weighting) ... i suggest you relate the energy-weighted LQR (Wang Shengyin et al) to the system considered (bilinear, hysteresis) and formulate your own effective weighting measure that is both physically intuitive & simple
* Stage 5: sounds interesting ... i like you to source out & consider simple yet effective hysteresis model ... i believe they should contain around 2 parameters to define ... hysteresis model set ... then approach in 2 ways: (1) numerical - use simulations using the new LQR --> (2) analytical - try formulating the problem and show that LQR can indeed control it
no need to worry abt me ... follow the sup ... keep on the good work
-----Original Message-----
From: Lee Foo 1
Sent: Monday, November 25, 2002 11:39 PM
To: Lai 5 4
Subject: RE: Our Projects
hey 5 4:) t1ks for the reminder:)
i have just finish my papers on thursday and have been working on my thesis, currently my literature review portion is done and thruohg the last discussion with prof quek i think he wants me to work on the hysterisis style of elasticity which i think i will find out more from him ...sigh...I have just worked out the scope of my FYP in my thesis and have set that as the target
After i finish prof queks hysterisis, i will immediately fly to u for ur portion on the robust LQR controller for the benchmark problem can?
below is the scope i have came up with for my thesis for ur reference, but of course i will try my utmost best to cover all that we aspire...:)
Below is the scope and my objective:
1.3.1 Objectives
The objective of this project is to use the commercial software MATLAB 6.0 to study the effect of varying the types of elasticity of the structure in question and justifying if the LQR control algorithm is capable of dealing with the c1ge.
1.3.2 Scope of Study
Stage 1: The first stage of the study investigates the responses of the structures; each with its independent value of elasticity subjected to a same earthquake excitation. The purpose is to emphasize that a stiffer building is more likely to be better in withstanding the effects of earthquakes.
Stage 2: The next stage, our investigation of the capability of the LQR control algorithm will begin by first studying the responses of 2 structures (single-storey) when they are subjected to an earthquake's vibration; one of the structure will have no external forces to stabilize it whereas the other is subjected to LQR control algorithm. Both the structure will assumed a linear elastic stiffness and the efficiency of the responses will be looked into. This property of linear elastic stiffness is most commonly assumed in elementary studies; but is the most deviant from the real world scenario.
Stage 3: Upon the completion of studying the linear elastic stiffness, the next stage will be to conduct a similar study on 2 structures like that of the first stage but this time subjected to a bi-linear elastic stiffness instead. This type of elasticity (bi-linear) is frequently used to simulate real life cases whereby the structures will c1ge its elasticity from the initial stage of linear to a final stage of non-linear. Usually, the second portion of the bi-linear elasticity is used to simulate the non-linear portion of the real life case. Therefore, in this stage, the elasticity can take 2 different values depending on the stage of the loading.
In order to see the en1ced effect of the c1ges in elasticity, the second portion of the elasticity is first assumed to take a value of 90% of the original elasticity and a second test is then conducted whereby the second portion of the elasticity is then assumed to take 10% of the original elasticity. This is done because in a real scenario, the stiffness of typical structures is likely to decrease to 10% of its original value after subjection to a large vibration and the differences in result between the two tests will emphasize on the importance of the simulation of elasticity.
Stage 4: The project will be taken one step further after this point to the study of second storey scenarios. The bi-linear elastic stiffness studies in stage 3 are repeated for a 2 storey structure and the responses are then looked into. This is done to justify the adequacy of the LQR in the supporting of multi-degree of freedom structures.
Stage 5: The project will then be wrapped up with the investigation of the adequacy of LQR in 1dling hysterical model of elasticity. This kind of fluctuation of elasticity has the closest proximity t1 comparing with the bi-linear models. Hence, its results are of utmost importance to future studies.
I will try to add in stage 6 for other progress .....rest assured that the thesis will be updated
3/12:
2, to yr questions:
1. Open-loop: as active controls are dependent on structural system & loading ... then if both system & loading (like sinusoidal) are completely defined & known ... we can use open-loop controls ... no need LQR controller which is closed-loop that is used when either system or loading (EQ is inherently arbitrary) or both are not well-defined & unknown ... hence, we will use closed-loop active controls (i.e. one version of LQR) ... but, if we measure the shake table acc. ... then we can know the ground acc. ... this can be used as open-loop control (as we already know the structure) ... both closed-loop & open-loop controls can be used together ...
2. Inputs required: this depends on (1) the locations of sensors (types like accelerometer for acc. & transducer for displacements) ... (2) where we like to know the excited structural responses ... (3) Our control objectives ... the industry is using accelerometers, so we would use them ... we should pick up the roof acc. & shake table (ground) acc. ... like Goh Kok 5's ...
3. Outputs req: the controller calculates a gain K (just a matrix) ... then the shake table starts exciting ... at each time sample ... control voltage u is calculated as ... u = -K.X ... u is in Volts ... from state space: Xdot = A.X + B.u + H.(EQ) ... hence, the virtual controller in Labview need only calculate this voltage u(t) at time (t) ... then this signal is either sent to A/D converter to c1ge to analog signal ... or sent as a step signal over the time interval (t + dt), where dt is the sampling time interval ... then the control signal would go into the piezo actuator ... N.B. if excitation is sinusoidal, then we can specify a control voltage amplitude & frequency ... but in actual EQ, it is arbitrary ... no fixed harmonics ... then both control amplitude & control frequency c1ge ... then control voltage u(t) at each sample is only a value ...
1. My fundamental concern is to show that this controller can regulate (eliminate or drastically reduce) both controlled displacement & velocity ... if acc. gets reduced, it's a bonus ...
2. also, i like to show that this controller still works even when the system c1ges ... like mass c1ges, stiffness drops, damping c1ges ...
3. thirdly & lastly, this controller still works even when one actuator fails (i.e. it has control signal u(t) coming in from Labview, but the piezo does not deform or apply force ... or in real conditions, fire might have burned it past its Curie temperature), but another actuator still working (i.e. Labview gives u(t), piezo still diligently follows & actuates) ...
The seminar would be quite useful ...
-----Original Message-----
From: Ooi Shein 2
Sent: Tuesday, December 03, 2002 11:04 AM
To: Lai 5 4
Subject: Controller in labview
Hi... 5 4:
For now, I am working on labview. Perhaps, I can get things run in 2 weeks time.
I think very soon I will need to insert the controller into my labview program. Could you please let me know is there any specific controller that you wish me to use?
Open loop or close loop?
What are the continuous inputs that the controller requires?
1) Shake table acceleration and displacement?
2) Roof acceleration and displacement?
And what would be the output from the controller?
1) Controlling force or the control voltage?
2) Frequency of the controlling force?
T1ks...
2
9/12:
2 & 1
here are the controller design ... using Matlab ... but u can see the Word document for e results ... acceleration controls work best ... velocity feedback is arbitrarily stable --> damper is unconditionally stable ... the Powerpoint slides are useful for understanding various aspects of control ... supplementary
2 & 1,
u should glance at this seminar summary by Chase ...
? 2:
1. Piezoelectric actuator calibration
2. Labview interfacing & controller
3. Shake table dynamics & experiment
? 1:
1. Bilinear: SDOF, 2DOF
2. SDOF/MDOF controls: LQRx, LQRy
3. Hysteresis
9/12:
2 & 1,
when u encounter difficulties in research, there are 3 approaches:
1. Seek people
2. Seek equipment, tools
3. Seek papers, textbooks
When seeking papers, i realise that there are 3 types of papers that must be encountered, if not, the research is incomplete:
1. General research papers: survey, comparison, overview or collection of historical, current & potential future developments --> For: the big picture, get an idea of the state-of-the-art, discover or uncover loop-holes or niches for us to explore & exploit --> e.g. for our cases, we need survey of seismic structural design, isolation & control --> then, control is surveyed for passive, semi-active & active --> split into theory, R&D, constructed & commercialised
2. Specific complementary papers: detailed papers targeted & focused on their narrow objectives & scope that fits our needs --> e.g. Kamada et al 1998 researches (active control), for (Frames), (EQ), using (piezo) sensors & actuators, robust (controllers), with (shake table), & reduction of (structural responses) --> this type helps to highlight things for us to target or those that we have missed out, ignored or assumed
3. Specific contrary papers: these detailed papers have objectives that do not fit our objectives or needs, in fact can be totally opposite to our research --> e.g. Chase 2002 researches (semi-active control), using (semi-active dampers) & tries to diminish potential of active control (cost, power - nuclear plant (small one), complexity, design difficulty) --> this type helps us to see the inherent weakness of our side --> ideally, we should try to merge the strength of these into our designs
13/12:
1 & 2,
beware of these phenomena during simulation & experimentation:
1 & 2,
i apologise for my harsh comments ... all of us are rather busy ... Prof Ang & i are involved in the ICSSD conference from tomorrow until Wednesday ... Prof Quek is busy with meetings of overseas Docs & an NUS conference KKCNN symnosium from next Thu to Fri ... it is right here in NUS ... refer to file attched ... i like to keep radio silence for the next whole week ... try keeping these tricks in mind in our absence:
18/12:
1 & 2,
radio silence lifted ... i'm back from conf. ... for e next two days, we (both supervisors) would be busy with the symposium ... i'm attending the seminars as if they are like tutorials ... if u like to clarify anything ... come along to these sessions:
Thu:
time: place: topic
12noon EA EQ train accident
1.30pm EA Controls & reliability analysis (!)
3.30 pm EA base isolation
Fri:
9.20am EA System identification & sub-structuring
3.30pm EA Nonlinear FEM
early birds catch the fleshy worms ... here are my presentation & a sample progress report for yr ref. ... try to get only the overall idea of how to report & how to present .... see u @ e symposium
20/12:
2:
23/12:
1 & 2,
i understand that it's a risky & uncertain task in research ... especially when it comes to reporting & presenting ... i observe that people always ponder on 3 aspects:
Up until this point, U have been exposed to the knowledge aspect, whereby U are teleported from fundamental know-why & know-how towards research where there are uncertainties, where there are more questions t1 answers --> these can be overcome by literature review (3 types of papers) & the research techniques (5 tricks)
Now, U would face both reporting & presenting ... they are different from knowledge in that the target is now other people, instead of yourselves ... reporting is transferring knowledge to others in black & white ... presenting is audio-visual transfer
With the parameters of knowledge & communications, we can infer that there are the following types of people:
Most of us are U know, but can't communicate, hence use this:
Pyramid approach:
The pyramids are inherently stable structures --> large base for resisting base shears & base moments: Good Fundamentals --> thinning pyramid body to reduce elevated dead weights --> pointed tips to the heavens: Clear, concise, Sharp communication
We can use this analogy for reporting & presenting:
Treat the others as if they are "yourselves a few months ago, before you started this research" ... remember the idea beats the details ... the best type of response that U can get is ... "Oh ... like this lah ... so simple!"
26/12:
2,
i like u to take these books from me:
The energy approach u discussed can be represented & solved by LQR
1,
u must return the mode-superposition by tomorrow, then re-borrow yrself
this is a controller for nonlinear & hysteretic structures ... U can suggest to supervisors to use the hysteretic models in equations (55-57):
Also, there are some papers in the ICSSD proceedings that accounts for hysteretic behaviour by including rate-dependent characteristics:
Also, if U like to learn Visual Basic or C programming, U can also borrow from me ...
27/12:
1 & 2,
i understand Prof Balendra is the examiner ... plus our supervisors ... N.B. to relate yr audience (sup + examiner + me) ... use the Chinese saying: know yourself, know your adversary ... take these steps:
i'll now reveal their (audience) interior concerns to U:
Let's have practice sessions ... we meet next Friday at 2.30pm ... each of U give a simplest explanation of what you did, have done & to be done ... for 15min each (I assure time flies during presentation) ... no need preparation ... for reports, follow this:
if extra charts or tables, put in the appendix (limit to 5 pages pls) ... the audience would just flip thro' before the presentation
2 & 1,
in communications - talk & write ... there can be millions of approaches ... but i realise that all are composed of 2 extremes ... like the tension & compression ... push & pull ... structure capacity & exciting load ... the 2 extremes are:
in writing or talking ... u can give the big picture then the small ... like someone asks "Where U live?" ... i answer first "Earth" ... "where exactly?" ... "Equator" ... "Singapore" ... "Northern" .... this is the pyramid approach --> suitable for conceptual understanding, then applying that concept to specific uses --> present in research (tutorial level)
if u give details then infer the big picture ... like someone asks "Where U going to?" ... i answer first "taking bus home" ... "to do?" ... "do homework" ... "finish my course" ... "complete my degree" ... "start career" ... "realise my dreams" ... this is the inverted pyramid approach --> suitable for explorative inference of present conditions, then expanding those conditions to broad concepts --> present in most complex situations (transformational research)
Both are inherently conflicting & opposing, yet it is incomplete to emphasize only the pyramid approach ... to be engineer is to be a professional ... to be a professional is to be conversant with both extremes ... is to be pierce through the infinite combinations of both approaches ... is to be methodical according to yr present situations ... is to be on
the doctrine of stepping stones: to get things done fully & completely ... all the inherent steps must be carried out ... identify all the necessary yet shortest path of stones ... never try to skip stones (tasks) that are essential
Then, applying the doctrine ... improvise yr own method, yr own style ... in how U combine the 2 extremes ... from ideas to (messy) set-up & results to simple conclusions ... from our wishes/hopes/dreams to our toil/sweat/worry/difficulties to our finale/methodologies/findings/conclusions ... in the words of my lecturer (Sam GE ShuZi) ... "from thin to thick to thin" ... so U see ... it is using pyramid approach to start off & then the inverted pyramid approach to round up ...
With this, U can see that this path of research is nothing more t1 what we have felt all along ... ever since young ... from sports to learning to studies ... hence, take this period of training as polishing this skill ... where university has been described as the breeding ground for ideas as well as failures ... i hope that U stand aside from the worry of failure or success ... & thoroughly soak up this rather unique research experience where U toil through the thin then thick & finally thin again ... then repeating this ... what we get is simply a unique chain of (thin-thick-thin) for each of us ... when we finally acknowledge that life as an engineer is really just these ... we begin not to feel worried or nervous ... we start calming & treating these & every engineering else as serenity (Ping C1g) ... & what we realise is the true meaning of ... from dust to dust
30/12:
2 & 1,
i realise that the LQR weighting I showed u: Q=diag(K,M) ... is fundamentally not right ... the energies (Wong et al, 2000) are:
hence, strictly speaking, we should put LQR weighting as
In line with your reasoning that structural motion should be concentrated at the equilibrium position where kinetic energy is maximum (& min. strain & damping energies), in the simulations that I emailed U & also Dr Chase seminar, ... minimise the acceleration (integrate becomes velocity) works better ... This explains that kinetic energy minimisation performs better t1 (strain & damping energy) minimisation ... hence, proves yr line of reasoning ...
Also, note that KE & SE (kinetic, strain) are non-dissipative energies - i.e. once they enter (get transmitted into) the structure, they would stay within the structure (like undamped system in Balendra notes, amplitude same) ... (in) only
... DE & PE (damping, plastic) are dissipative energies - i.e. they release the stored or transmitted energies inside the system ... hence, amplitude decreases with time (like damped system, Balendra notes) ... (out) only
Thus, for LQR controls to optimise its control effectiveness (i.e. to eliminate all responses as fast as possible) ... we should target:
Here are two papers by Wong K.K.F ... Pay special attention on the section (Structural Energy Balance Equation) ... they are on the network (y2h7x2 --> FYP2002)
Exactly how the LQR weights Q & R directly influence the structural energy & response characteristics .. is under my investigation now ... i'll let U know once i solve it
2/1/3
1 & 2,
i have highlighted the following to U:
3 types of papers:
5 research techniques:
2 comm. approaches:
For completeness of research & to round up the path of research ... taking the analogy of active control:
Taking this as analogy for research ... the above 3 papers, 5 techniques & 2 approaches are generic FF open-loop researches ... these together make up the First Law of Research ... they are always expected to be encountered in any complex domain ... just like Newton's Laws of Motion ... thus can be used for anything in the present & future ... however, there are imperfections & uncertainties along the way ... although i always refuse to acknowledge this ... but i have to come to realise that ... the completeness of research needs both open-loop & closed-loop research ... through self-reflections & self-observations ... i see that the most essence of my research come from self-corrections ... in that i take a second look at previous:
With this ... comes the understanding that a FB path to research needs to be conducted ... a closed-loop self-corective research required ... hence, the following:
Zeroth Law of ReSearch: states that with regards to general situations with inherently known & unknown knowledge & methodologies, the fundamentals of complex problems exist on both known & unknown domains, where the known aspects can be uncovered by the First Law of Research and the unknown aspects can be reiteratively uncovered by repetitve, relentless & retrospectively research the known aspects with renewed perspectives, hence ReSearch
ReSearch means repetitively & relentlessly Searching with Renewed perspectives ... the Zerothe Law of ReSearch forms the closed-loop FB path ... taken together, the most general research is thus revealed in the Open-Closed-loop research formed by the first & zeroth laws of ReSearch
When we look at the health of a tree ... we look at its roots ... When we look at the "wealth" of research ... we look at its fundamentals
2 & 1,
Besides the physical understanding of LQR ... we need more:
LQR existence conditions:
Help: y2h7x2 --> courses --> Linear Systems --> me5401ch5.pdf
LQR effects:
Help: y2h7x2 --> courses --> Linear Systems --> WQG --> notes --> Chapter 7 & 8
State-space model derivation of responses (relative displacement & velocity)
Help: y2h7x2 --> courses --> Linear Systems --> me5401ch3.pdf
MCK equation of motion derivation:
Help: http://monet.physik.unibas.ch/~elmer/pendulum/eqm.htm
3 search: Seek pple, methods, texts
if u are not sure of the above ... u'll pass but yr fundamentals are not sound
7/1:
1 & 2,
in the structural vibration due to rigid-base horizontal translation encountered in our project ... using parameters of forced & controlled ... we can split them into the following:
For forced vib. ... there are to my humble knowledge ... 3 types:
Dynamic response calculation (or analysis) ... involves two methods:
Dynamics is described in maths often ... using the following ways:
in our case ... ODE dynamics ...
8/1:
2 & 1,
i recently went back to my cousin's wedding in Muar, Malaysia ... i witness lots of civil development ... new roads ... houses ... oil stations ... many of the new ones are contracted by my cousins ... yet they only have technical training ... little or non-existent theoretical training ... they depend more on experience, contacts, intuition ... i feel quite impacted by this ... what with such high-level knowledge of my Singaporean cousins & me ... yet we still lost our way along Muar new roads ... hence, i put forward this perspective to engineering (in every sense of the word) ... there are the following scenarios:
In Research, 2 extreme approaches:
An e.g. ... e land speed record is held by a British team Thruster ... now Thruster is building a new jet car based on e very latest R&D equipment & techniques (wind tunnel, FEM, etc...) with lots of resources from government & companies ... its driver is a hot, young RAF pilot ... always plan ahead & make sure simulations & experiments match e trial runs
... a competitor to the British is ... e American team Spirt-of-America ... it is much less funded ... its jet car lighter, smaller & simplier ... its driver is a middle-age, happy-go-merry uncle ... but he has set 6 previous land speed records before losing to the British 30 yrs ago ... always try & correct mistakes on-site
Who do U think would go faster - British high-tech hot-rod or American trial-corrective old-1d?
Both did not get e new record ... e British opt for rear-wheel (back-wheel) steering ... arguing for its supremacy ... performs great at low speeds ... but >300mph ... the wheel vibrates too violently ... & the British clock up only 340mph speed
e American works stably but surely ... the old-1d checks the ground ... the vehicle ... in great friendship with every crew ... "feels at home with them" ... & takes e vehicle 100mph by 100mph ... correcting all mistakes along e way ... eventually he's stuck at a difficult obstacle: at 670mph, e vehicle skews to the left ... too dangerous to drive ... he stops it ... result: 670 mph ... much more t1 the high-tech British
i hope to highlight the importance of simplicity in such complex domain as ReSearch ... to ensure that people would be attracted to it ... & use it ... isn't that what research is for?
1 & 2,
With actual, real physical phenomena --> mathematical modelling --> Uncertainties accumulate:
Modelling involves the following aspects:
Modelling of dynamics involves:
Hence, our case ... only uses approximate ... with unrealistic formulation ... but simpler with good enough responses
9/1:
1 & 2,
in the stds & codes ... under limit state design ... vibration is a serviceability limit state ... in that vibration encountered in service conditions ... are not serious ... in that it does not affect the ultimate behaviour of the structure ... namely strength, stiffness & stability (3S by C.G.Koh) ... however ... in severe excitations ... like:
of structures of low dynamic capacity... that is flexible (low K), light-weight (low M), low damping (low C, low dissipation) ... dynamic vibration resistance capacity << severe excitation input ... vibration becomes ULS ... directly affecting 3S ... hence, lan lan no choice ... need to take precautions in the following 3 aspects:
Also ... note that those partition walls, utilitise, windows, doors, furniture ... have some effects on stiffness & less on inertia ... before they break, structure is slightly stiffer ... after they break, structure suddenly becomes weakened ... this comes as impact ... hence ... need to guard against this
10/1:
1,
a few points to take note:
Also ... i sense that u are not welcoming to my coming to here ... then i'm not coming to watch then
2,
a few pts to note:
Also ... i sense that u are not welcoming to my coming to here ... then i'm not coming to watch
1,
further notes:
2,
further notes:
12/1:
2 & 1,
in the Way of Fundamentals ... i have discussed both dynamics (modelling & response analysis) ... & control (design, isolation, control overview) ... e last is optimisation ...
In this often-hyped, but useful (in e sense, we r toiling ourselves to help others save a little bit of money, a little bit of time, a little bit of resources & of course, some troubles) technique ... optimisation is e process of optimising a process to best reach a desired result (by Theorem of Least of Work) ... Optimisation involves the 2 aspects below:
Hence, it follows that ... to start optimising ... we need:
in our project ... we have narrowed the search domain quite a lot ... problem structure is linear ... lumped discrete ... sensors all over e place ... no problem ... actuator(s) either assumed or located at researched position (Kamada) ... we have also either assume or given that:
With this ... i have completed the trilogy of Dynamics, Control & Optimisation ... t1k you for kind attention ... & i welcome yr queries
14/1: Interim Oral Presentations
1,
from what i can gather abt Interim:
Overall ... it's great that u answer well & firmly ... u have done yr best ... but e best is yet to be ... i can't wait for e FYP presentation
2,
some comments:
Overall ... it's great ... diagrams + (Winston Churchill) statements ... eh u do sound jerky to me ... listen to me ... we have practice oral presentations periodically ... u will realise yr own true potential by then ... trust me
17/1:
1 [Lai 5 4] ,
suggestions:
Results: define problem (system, EQ, devices, controls) --> diagrams & plots (label properly) --> findings (like % reduction ... ) --> explain (by formulation k1,k2 or comparisons) towards Objectives
1 & 2,
there is much confusion between which comes first ... chicken or egg? ... though this question is inconsequential to us civil engineers ... but we did encounter this dilemma in structural analysis ... which comes first ... force or displacement? ... i discovered that this question has been answered already ...
In structural analysis ...
Given: structural layout, material, geometry + loads (static/dynamic, point/distributed)
Response: 3 forms
to derive e responses ... structural analysis approach to derive these differ into three methods:
in weak form (championed by FEM) ... there are 3 types:
1) Forces/stresses in equilibrium
2) Displacements/strains in compatibility
3) Energy balance in ext. & int. work
For existence of solution ... any 2 of the above 3 types must be satisfied:
Hence, it can be seen that whichever force or displacement comes ... there is always a way to analyse given energy basis ... thus, dilemma resolved ... & our Dynamics equilibrium (M,C,K) is the result of D'Alembert which is Displacement method ... with equilibrium imposed, compatibility assumed
As for e chicken & egg ... leave it to e biologists
20/1:
1,
2,
how's the progress now? ... if i'm not wrong, it should be abt the following:
help me take note of ... time delay ... within (SDOF system) & (from sensed to actuation) ... difference bet. simulation & experiment
1,
in nature ... we can notice certain distinctive patterns that are recurring all e time ... these include seasons, tides, sun/moon, etc. ... specifically, these patterns have a similar overall trend ... .i.e. rise --> climax --> fall --> trough --> repeat again ... this is exactly similar to our vibration oscillations ...
As it is natural for all engineering degree candidates to undergo FYP ... FYP can also be as a natural trend ... it has its ignition (our first meeting) ... its rise (literature review, basic fundamentals & tool-learning) ... its climax (problem solving, focused tool-making, procurement & setting-up) ... its fall (testing, consolidation of results, checking, verifying) ... its end (reporting & presenting)
the project is now into the climax ... yr tool (Matlab programs) is almost complete ... with some customisation needed for specific problems ... yr objective & scope are set ... u have created enough problems to solve ... u are now focused on solving these problems to produce e desired results towards objective ....
As a reminder ... i want to put this forward to u ... i want yr answer by this Friday ... on e expectation of this project ... i propose two choices (MCQ) ... i want u to choose only one:
Give me yr answer on Friday
2,
in nature ... we can notice certain distinctive patterns that are recurring all e time ... these include seasons, tides, sun/moon, etc. ... specifically, these patterns have a similar overall trend ... .i.e. rise --> climax --> fall --> trough --> repeat again ... this is exactly similar to our vibration oscillations ...
As it is natural for all engineering degree candidates to undergo FYP ... FYP can also be as a natural trend ... it has its ignition (our first meeting) ... its rise (literature review, basic fundamentals & tool-learning) ... its climax (problem solving, focused tool-making, procurement & setting-up) ... its fall (testing, consolidation of results, checking, verifying) ... its end (reporting & presenting)
the project is now into the climax ... yr tool (piezo calibrated, structure made, Labview near completed, equipment linked) is almost complete ... with some customisation needed for specific problems ... yr objective & scope are set ... we have created enough problems to solve ... u are now focused on solving these problems to produce e desired results towards objective ....
As a reminder ... i want to put this forward to u ... i want yr answer by this Friday ... on e expectation of this project ... i propose two choices (MCQ) ... i want u to choose only one:
Give me yr answer on Friday
21/1:
1,
no need worry abt damping ratio ... the magnitude of controlled response (whether displ. or acc.) ... depends on the magnitude envelope ... exp(-dr*wc*t) ... dr: damping ratio ... wc: controlled natural freq. ... in 2nd mode ... wc higher t1 mode 1 ... then dr2 need not be too large ...
as a reminder ... i find that if i work too hard now ... & not able to carry on my enthusiasm & quality over ... not only e week ... e next month ... e next yr ... e next decade ... but to e end of my engineering career ... be it decades ... & every minute of it ... i'm expected to be a "Master" that is shown on my degree ... frankly, if i don't feel capable of doing it for life ... i should not aim for it now ... hence ... when there is a worry that progressive choice is shaky & not firmly achievable ... it's always ok to consolidate ... emotions aside ... let e facts & comparison judge ... view yr work objectively ... & see if e fundamentals are enough to carry thro ... i have learnt martial arts before ... i have cleanly forgotten all but one stroke ... i.e. the horse-stand ... easy pple say ... but not for "2" ... sustainability is as impt as that short-burst of super-achievement ... being 2-lasting is an often-neglected quality to survival ... look at Prof Ang ... hence, from now on ... i would concentrate on consolidating yr fundamentals ... always pointing to the back ... as a form of reminder
Currently, im in the process of consolidating the results...am a bit troubled by the damping ratio that i obtained for my storey structures as it seems that the second storey has a lesser damping ratio t1 the bottom storey...this is strange as in my impression, the second storey, as it vibrates more, should have a higher damping ratio....will be checking on my formulas and at the same time, still doing my hysteresis, but however, i am not customizing from Rungge Kutta method, i m writing my own program with respect to the hysteresis portion...So as you can see, at this point of time indeed im at the climax of my project and is still trying to climb further.....the progressive option is veryvery attractive to me...but i must say that in order to climb to the next hill, i must get up this hill and frankly, the duration of the fyp and the modules that one is taking doesnt allow us to have too much time to climb so many hills all at once.
And like what u once say...'Give an engineer infinite amount of time and resources, he would solve everything' but sadly in my case i simply have to take my steps one at a time:)
so option 1 is compulsory for me and option 2 is like a dream but hinder by the reality of time
2, to lcarify ... i just learnt that ... alkali-silica reaction (ASR) is bet. alkaline cement & reactive silica only ... reactive silica includes:
Amorphous silica = most chemically reactive
Common reactive rocks:
opal
obsidian
cristobalite
tridymite
chelcedony
cherts
cryptocrystalline volcanic rocks
strained quartz
... avoid these ... else crack seriously ...
to avoid ASR reduce alkali content by replacing with pozzolans (with proper curing) as follows:
fly ash
blast furnace slag
silica fumesilica fume
natural fibre (e.g. rice husk ash)
& use non-reactive silica (e.g. sands) & aggregate
-----Original Message-----
From: Ooi Shein 2
Sent: Tuesday, January 21, 2003 4:31 PM
To: Lai 5 4
Subject: RE:
Ya... the burnt ash is rich in silica... unburn paddy husk has no silica...
But, don't know if alkali and silica will react...
-----Original Message-----
From: Lai 5 4
Sent: Tue 1/21/2003 2:21 PM
To: Ooi Shein 2
Cc:
Subject:
2, e rice husk ash is mostly silica, right? ... but from i read on concrete ... there is alkali-silica reaction (ASR) ... causing cracking ... if concrete is alkali in nature ... then does mixing it with silica of rice husk ash ... induces ASR & increases cracking?
24/1:
2,
actually Quek is engaged with me ... u should have come in ... oso thought that time u show me was just probing it ... for actual piezo testing ... u need appropriate pre-compression (measurement of piezo deformation) ... last time we only agah agah tighten e bolts ...
oso ... in programming ... i advise u to be absolutely thorough with each & every component ... & their interactions together ... i uncover mang 2-lasting mistakes with thorough investigation ... i believe that if e problem is complex ... it can be broken down into simpler parts ... which u are super-sure works ... tried & tested ... perhaps u may like to try these:
-----Original Message-----
From: Ooi Shein 2
Sent: Friday, January 24, 2003 4:26 PM
To: Quek Ser Tong
Cc: Ang Kok Keng; Lai 5 4
Subject: FYP Update: Active Vibration Control
FYP Update: Active Vibration Control, Experiment
===================================
Hi Sir:
I was at E1A for Friday meeting at 3pm but I think Prof Ang was not there and Prof Quek was engaged.
Anyway, I am here to update you my FYP progress, before I am away for the Chinese New Year from mid of next week till week after that.
During interim, I stated that the control mec1ism and strategies used for the active control, using energy method. For now, I struggle to complete the very final part of the LABVIEW. But I am working with Mr Teh on this and hoping to get it solved ASAP.
As for the performance of the PIEZO, I have carried out a test to observe the response of the structure due to PIEZO vibration. The effect is not that great, small effect to be precise. 5 4 saw the test.
Anyway, I will develop all components and get all interfaces connected, and conduct a complete test on the system. Subsequently, try to wrap up my FYP report with additional numerical solution.
Ooi Shein 2
CE4
4/2:
2 & 1,
I c1ged my computer name on the network take note (no more 'y2h7x2')
New network:
Start à Search à For Files or Folders à Computers à 'laiweeleong' à FYP2002
Use my name now so easier to remember
2! must return Dynamics book (Clough, red colour) Now I can't renew it has +2 holds already as they say - the faster, the better
I'm on seminar this Friday - HDB reclamation as now is really quite late in the FYP from now on, u must show us yr progress & discuss yr problems sharply time is lacking in addition, take note that thesis writing is never ordinary report writing if u have read the thesis writing website I email u typing it is already quite taxing (u must follow the layout required by CE Office) let's revise u of e following thesis points:
1. Brute force: settle down the thesis point & scope expand freely regardless of length unconstrained writing normally very 2 & very troublesome drafting & editing later on
2. Component-based: from objective & scope divide-&-conquer into smaller, simpler sub-objectives write for each of these like a report, regardless of other sub-objectives then combine them then do overall editing to "tie the strings" so to speak
3. Coherent unity: write the thesis like single report from the start to the finish the writing & editing occur 1d-in-1d write one section edit this section together with all previous ones hence, write a little edit the whole lot (to ensure coherence) the writing part is not like brute force (without regards) or component-based (only for the sub-objective) you are writing (as in every single word or symbol or character) for this current section in order to reach the eventual objective (niche) this takes practice but if you try it now the next time you do so would be easier
Component-based would be balanced between e two extremes I would recommend this but I must emphasize eventually all of us would tend towards coherent unity
6/1:
1 & 2,
I'm now writing my own thesis introduction as with the pyramid approach start with the very broad-based general idea narrow down to active control only I just realise Prof Quek's notes has very good L.R. on structural control but it might slightly out-dated try adding some later references beyond this we split into our respective focus:
Also I realise to quantify & compare our results objectively we need appropriate criteria or effectiveness parameter(s) to illustrate & bring out the comparison more clearly I like to suggest the following criteria for u:
9/2:
1 & 2,
attached is my introduction that is relevant to u ... this is only a draft ... u may edit it for yr use ... plus additional literature of yr own ... beyond e intro ... we need to work closely together ... here i like to point out 3 impt aspects:
Only when u mention any formula, table or diagram ... then u put it in ... never put it in without discussing it ... this goes for references also ... pls quote properly ... never use [1], [2] etc. ... use the name e.g. (Kamada et al 1998)
also text is double-spacing ... essentially, they r telling us to write as short as possible ... so we should not write too 2-winded ... it saves paper, money, time & no wasted efforts (Theorem of Least Work) ...
oso ... never copy directly from others ... though an exception may be made for my drafts to u ... but they are only drafts ... use yr engineering judgement to write ... take it as a precious practice ... i don't believe we may get another such intense writing practice ever ... let's all treasure this most valuable experience
11/2:
t1ks for everything:)
hihi
just to update u on my progress....i have a talk witht the prof last week and they have just gave me new insights to the hysteresis model and so currently im very busy tring to comeup with the algorithm for it. So i thinki i will probably not be meeting up with the prof until i have come up with something concrete to show or if i have inquires to ask...till now im trying every effort to use all methiods i know to come up with it so that i dun dissapoint all of u.
Anyway t1ks again for the thesis sdample u send me:)
actually i have done some of the thesis already and still on the process of c1ging it:)
but i think iwill be doing all i can for the hysteresis at least until march before i can touch ,my thesis again ...
i only hope i wont fail because i didnt manage to come up with the hysteresios portuion:(
i am trying all my best here too!!:P
also i havent met u since new year...so HAPPY CHINESE NEW YEAR TO U :)
2 & 1,
Engineering whether physical or chemical or biological etc. is essentially abt. E struggle between capacity (good) loads (bad) there are then 2 scenarios:
Hence engineering is our 1d in reaching & maintaining this balance of capacity & loads N.B. it is best to have the highest capacity/loads ratio but loads would always be there the challenge to us is the HOW we go about engineering this equilibrium or balance yet aiming equilibrium by itself is naïve the reason: balance may be unstable implication: need to understand stability concept there are three equilibrium states:
In structural engineering structures are supposed to be stable & not collapse (ULS) in that they satisfy the 3S: stability, strength, stiffness hence, an unstable structure would have the following:
In structural control passive damping takes away inherent structure energy transmitted due to seismic loads passive control shifts the fundamental freq. of structure away from EQ main peaks semi-active control takes or dissipates structural energy by using ext. power to operate the dampers only hence, it does not inject mec1ical energy into the structure, it just takes away
In active control & composite or hybrid control ext, power is used both for operating the active actuators & also injecting mec1ical energy into the structure as evident from the energy balance equation as active control is using (control) energy to reduce or cancel out (seismic structural) energy remember energy is actually waves & waves can be superimposed irrespective of whether it is linear or nonlinear thus waves can be cancelled so can structural energy
The problem is that under arbitrary excitation like EQ & unmodelled dynamics of the structure & assumptions (all not true):
As engineers we know that the no. 1 concept is that things would NEVER be perfect & would ALWAYS be imperfect hence, our active control must be insensitive to all the above problems one way is to ensure that:
Here, E is the structural energy = SE + KE only, so using the above criteria CE must be able to achieve them this concept is the Lyapunov 1st & 2nd methods all energy-based methods that are equivalent in importance to Newton's Laws in mec1ics
2, below is a paper on active control
it also uses energy c1ges as stability analysis get e concept of using energy c1ges as stability criterion (focus on paper Section 4) eq (4.1) is similar to ours: SE+KE = IE-CE =E by tracking this E together with the proposed energy-based control (to oppose destabilising velocity only) show that the controlled structure is stable with criterion: dE<0 always this can be done by similarly splitting one oscillation cycle into stages like e way u explain to me how it works:
Then with this infer that since the active control works in this way for every cycle & that every cycles stages are all stable: dE<0 therefore dE<0 for all cycles thus control stability is guaranteed proved then realise experimentally
2,
The verifications should include:
hey, I met this paper on using CFRP instead of the steel shear studs for composite construction also for wind & seismic loadings have a look:
18/2:
1 & 2,
As engineers we are often always called to tricky & sticky situations to resolve & we are expected to resolve them completely that's why the social sciences people label us as problem-solvers pple problems we solve supposedly & completely situations can be:
Hence, we need to generalise our engineering approach towards tricky & sticky problems such that it can applied with confidence independent of the problem domain . Basically, this involves:
1. Amplify remedy effect: in our case stabilise controlled structure then, magnify active control efficiency & performance
2. Reduce constraints or restraints: reduce complexities, unknowns by simplifications, verifications & re-configuring systems
Take the example of experiment set-up:
Theory of Generalised Problem-Solving:
21/2:
2 & 1,
ReSearch is fundamentally a process of discovery in the Spirit of Research one of it is the spirit of an adventurer I'm sure that there is an animal inside every one of us it is both brutal yet can be tamed the criteria is HOW we approach it such that it helps us I discover that as an adventurer it is the treasure or what we are aiming for that provides much of the motivation & drive (or pple like to call Passion) this treasure is like a carrot dangling on a rod in front of a rabbit, yet out of its reach so near yet so far the effect: we are set into constant motion, always trying to reach, but not getting the implication: the process of reaching has far more impacts on us t1 the treasure Hence, the "meaning of the drunkard is not in the beer" ??????? I realise by now that this is always true we have studied so hard all these years yet we cannot be guaranteed a carefree professional life we are in fact obliged to work just as hard if not harder in our future work whereas for the FYP supervisors have set a 2-term aim for each of us it is near enough s.t. we can smell it coming as we progress yet far enough s.t. we do not seem to be able to get it through that is precisely the carrot or treasure
Yet when we look carefully back on what we have done all this while it seems that we are more influenced by the PROCESS rather t1 the objective hence, if we are able to generalise & internalise this process of discovery within our hearts I believe that there are few things in the future that can deter us from doing
Process of Discovery:
The quadruple process of discovery involves:
Rare is one who is able to master each & every one of the above 4 stages of discovery process for he is unfazed by the treachery, torture & torment as he moves steadily, sometimes haphazardly, but always mindfully towards his niche & yet when he really gets his niche he said to himself the following words:
"What use do I have for this that I have not gained along the way?"
With that he threw away his 2-loved treasure & walks off fulfilled
3/3:
2 & 1,
FYP project cycle:
With the passing of the mid-semester recess we are steaming towards the end of fall u would have lots of tests, data & some results u need to consolidate properly so as not to lose yr in this maze of data overload be clear of the following aspects:
Thesis drafting would require direct supervision from yr supervisors I'm now out of e picture for this is not my niche I have fulfilled my niche as a reminder but as I'm also writing my thesis I have a few recommendations:
1. Simple: to read & understand (all min. required information are readily available)
2. Direct: illustrate just one & only one point (too many blurs none is useless)
3. Explanation: results with discussions are findings results with no discussions are chicken-talk but explain with yr niche objective in mind
1. Equations: one single line spacing preceding & postceding the equation line (double spacing) formulations must be universally literature accepted do not invent your own unless it is catered to yr needs like some symbol for efficiency measure or hysteresis measure
2. Tables: caption on top table for numerical data I recommend tables for those summary values like absolute max./peak/average values for comparisons across different parameters
3. Figures: caption on bottom to show trends, interactions, set-up, flowcharts & overviews NO colour use different (shades), (linestyles: solid, dashed, dotted) not too cramped show just one & only one point
I met the problem of I know about this whole thing but when I set down to write not a single word come out if u meet this it's probably not urgent enough yet u can either wait until it's urgent or u do as I do:
See u
10/3:
2 & 1,
In the niche perspective each & every engineer has his own unique niche or role to participant in this niche has the following attributes:
To see fitness focus on the interactions of the following:
Our potential is measured by our fitness level to reach our potential is good as reaching our niche determined by the fitness hence our niche realization is equivalent to fitness this consists of 2 chained processes:
Hence what I like to conclude from this niche study are:
There are two extreme levels to the potential realisation theory:
13/3:
1 & 2,
Below are a check of all necessary thesis components:
Title: for thesis as well as a shorter one to print along the stem of the thesis book during binding
Abstract: the most important the first to be inspected all yr findings towards e niche thesis must be summarised here if this is not written well the rest would be ignored
TOC: table of contents nomenclature tables figures captions
Introduction: general background literature review (narrowing) objective scope (expand on objective, exactly what things to research on the objective) layout (chap 2 what chap 3 what)
Body: summary sentence problem definition / formulation theory (equations) methodology verification/validation tests results (tables, figures) findings: results with discussions back to the objective
Conclusions: conclusions back into objective exactly what u find abt each scope component successful, why & implications fails, why & implications suggestions for future studies (what u always to do but cannot)
References
Appendix: things like program codes
Keep clear
Keep simple
Keep short
21/3:
2 & 1,
In the potential realisation theory we need to be aware of our niche as determined by fitness w.r.t. 謀事在人, 成事在天 at any one time we can be only in either of the 2 mutually exclusive scenarios (1) within our niche (2) niche transition: turbulent à laminar à wake resulting in the rule-of-thumb: Jack-of-All, Master-of-One this however is too loosely formed to be useful hence an urgent need to reformulate this into a engineering niche for all ReSearch
With the presence of:
1st Law of ReSearch: feedforward open-loop generic technique inherent in all operations
Zeroth Law of ReSearch: feedback closed-loop fundamental technique inherent in all rectifications, awareness & understanding
Yet all research tasks & events do not only involve the doing (operations, implementations) & the corrections (realisations, fundamentals) the events would ultimately involve concepts yet no one can clearly define concept as it is a virtual idea with actual realisation or implementation the concept influences the operations & understanding the operations & understanding shapes the concept hence there is always a closed-loop relationship between conception (virtual form) & concretion (actual form) this is analogous to dreams & reality how many realise our dreams, yet who can live without dreams? to concrete is to cut off aspects of concept to concept is to modify concrete is there a dilemma or in engineering, a compromise/tradeoff between conception & concretion? the solution or resolution is in the interface interaction or architecture of both elements of concept & concrete yet interaction is still as undefinable as itself to inter-act is to act in related fashion with influences both within & without both internally & externally in other words, in dual mutually-exclusive extremes the extremes in turn have their own respective extremes forming infinitely-chained processes
hence, with this understanding (from Zeroth Law of ReSearch) of the influence of interaction on the balance between conception & concretion the following 2nd Law of ReSearch is derived:
2nd Law of ReSearch states that all processes involve arbitrary chaining of the basic configuration of subsystem-system-suprasystem, with the system as the event-of-interest, where for any system, there would always exist a more fundamental, smaller, simpler, more rigid, less flexible, less powerful;, more stable & less interactive system subsystem; and there would always exist a more complex, larger, less rigid, more flexible, more powerful, less stable but more interactive system suprasystem.
Thus with the subsystem-system-suprasystem basic form any process can be potentially understood if it is too complicated or illusionary there can always be a simpler way to perceive, model & understand it hence, when the engineer encounters a problem that is just overwhelming the engineer does not dive into the concretion the engineer falls back onto conception with conception, the engineer interacts the relationship at levels that the engineer is fundamentally sound & because there is always such a subsystem the engineer can be assured of preventing progressive conceptual collapse, hence preventing actual concrete engineering disasters potentially this means that all disasters can be avoided if the 2nd Law of ReSearch can be internalised within the engineer if only lay engineers can take tasks at their strides & capacities (know yourself)
Yet there can be the opposite now that the system is firmly supporting the engineer the engineer engages in internalising the system to become routine the act of routine is an act of future complacency hence, the engineer moves into the suprasystem to understand things that baffles him, that he has assumed, ignored, neglected, modified or given in the past he needs new & extended insights into the process hence, suprasystem is derived from Zeroth-Law of ReSearch this can be from linear à nonlinear from statics à dynamics from elastic à inelastic etc. because a suprasystem always exists potentially this means that all & everything can be known & engineered that there is always hope & inert confidence for engineering events if the 2nd Law of ReSearch can be internalised within the engineer if only lay engineers can internalise open-hearted spirit towards the surroundings (know adversary)
In summary the 2nd Law of ReSearch is formed by the basic configuration of subsystem-system-suprasystem where focusing on the system is the niche focusing on the subsystem is the careful, pre-emptive protective stabilising approach focusing on the suprasystem is the hopeful energising exciting vigilant approach hence, a rule-of-thumb is:
If it is too difficult, go easy
If it is too easy, go difficult
Eventually provided inherent damping exists the mutually cyclic shifting between the extremes would settle at hopefully a stable equilibrium position but life (not to say engineering) is an unstable phenomenon hence the following trends:
Simple things would always complicate over time & circumstances
Complicated things would always simplify over time & circumstances
Oscillations always exist between the shifting extremes of simplicity & complexity
Im not sure where this would lead to but neither does the engineer hence, the engineer does not argument or debate or probe into issues of such nature as the engineer knows that he should only focus & focus only on his niche & little else hence, with this I like to end this prolonged annual research into the basics of research with u t1k you for yr attention
May the Engineer be with You
25/3:
1 & 2,
Like to remind more thesis comments:
First things that people would read: abstract (summary), Objective & Scope, conclusions
If these are not well-written .
What to do: objective
Which aspects of the objective to concentrate on: scope
Methodology: how to reach the scope to get to the objective
Findings: what exactly you discover works, why & implications fails, why & implications
Conclusions: must contain objective scope: what you set out to do & what exactly you find out about the particular scope take this analogy start from one end of a string (as objective) then tie back the other end of this same string to its head (conclude all yr findings into the objective)
Abstract: the summary of conclusions the essence of yr thesis (the point you are making) remember the chicken essence analogy
Tables: title above
Figures: title below if discussed directly in text, must include in text never in appendix (especially those not even mentioned or used)
26/3:
1 & 2,
In realistic situations the engineer would reign due to the staunch focus on findings related only to his niche in virtual situations the adventurer would reign due to the unrelenting perseverance to stick to his 2-loved treasure through the physical process of discovery yet the ignorant engineer can mix both together into a rojak of confusion applying the engineer into virtual situations & applying the adventurer into realistic situations as follows:
1. Virtual situations: these are processes that have really no engineering value for others like climbing a mountain many have already climbed it, not only the adventurer so if the ignorant engineer thinks that by illustrating to others his process of reaching that mountain summit he is contributing to knowledge or to his thesis one cannot but silently shake his head as the process is really up to the eye of the beholder to have only what others are really interested are in the realistic situations
2. Realistic situations: these are engineering projects where the findings only are critical the engineer is only interested in his niche & the findings & nothing else yet the ignorant engineer confuses this with the adventurer thinking the process is as important as the findings the ignorant engineer is ignorant of the infinite complexity of realistic situations by the 2nd Law of ReSearch for such complex situations a small simpler subsystem should instead be targeted the ignorant engineer should not think that by going round & round he doing a lot of process hence lots of adventure the engineer knows that this is a thorough waste of precious spirit (which by definition is limited in nature) hence, the engineer conserves his engineering spirit (by the energy balance equilibrium) to what the absolute critical aspects & avoids running 400m
In summary the process of doing things is virtual & useless to others but the engineer acknowledges that the process is precious only the beholder to the adventurer within
On the other 1d the objective of doing things is realistic & useful to others hence the engineer would reserve his engineering spirit to the focusing & targeting straight into the objective & the scope not some rojak corner in the Bush? the engineer knows that when it comes to the crunch when things comes to the finale it is not the adventurer with his virtual unrealistic philosophy of
醉翁之意不在酒 that the engineer should even look at for he knows that if he did he would truly become a 醉翁May the Engineer be with You
4/4:
1:
3/5:
1 & 2,
Im sure that exams are over by now at this juncture, like to show u the last road ahead:
Difference of final Presentation with interim Presentation:
What I think you can expect from final Presentation:
What I think examiners are after:
Hence, a successful presentation must at least address the above
What I suggest for Presentation:
I know some people may lose steam at this stage take this analogy for the entire FYP like any soccer team start: yr goal-keeper opens & passes to the defenders the defenders pass to the midfielders the midfielders pass to the strikers you are now at the striking stage
if you strike this one (Presentation) wrong (you have only one c1ce) it wastes all yr past efforts of passing the ball smoothly up you are not only sorry for yourself, you have misplaced your previous FYP "heroics" you are like Baggio who missed his point-blank penalty
if you strike this one right you score I cant really that feeling, but its like a herioics to end all heroics you are like Baggio again just that you have redeemed all you have lost & gained much more if you are able to practice it right this time the next time (in career maybe), you would feel more confident & what better way t1 to do it under a scholastic environment? Just do it
Im sorry if I have caused u directly or indirectly any inconveniences along the way these projects was tutorial in nature with no real effort at improving the state of civil engineering as it is I was assigned to write up FYP for this & I apologise for my thoroughly worthless & absolutely useless FYP I hope that u put all the blame & any grievance on me & me only Im a bastard through & through
But Im glad that Im able to meet with u guys for me, I have learnt a lot from you in fact, immensely these two years are the pinnacle of my intellectual journey & I cant imagine reaching this depth of concentration in the future Im happy to be able to be with you I wish you the very best in whatever you do May the ReSearcher be with You!