24
MODELLING MAGNETO-RHEOLOGICAL DAMPER USING RADIAL BASIS FUNCTION NEURAL NETWORK MOHD FIKRI BIN ARIFIN Thesis submitted in fulfillment of the requirements for the award of the degree of Bachelor of Mechanical Engineering Faculty of Mechanical Engineering UNIVERSITI MALAYSIA PAHANG JUNE 2013

MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

  • Upload
    others

  • View
    8

  • Download
    0

Embed Size (px)

Citation preview

Page 1: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

MODELLING MAGNETO-RHEOLOGICAL DAMPER USING RADIAL BASIS

FUNCTION NEURAL NETWORK

MOHD FIKRI BIN ARIFIN

Thesis submitted in fulfillment of the requirements

for the award of the degree of

Bachelor of Mechanical Engineering

Faculty of Mechanical Engineering

UNIVERSITI MALAYSIA PAHANG

JUNE 2013

Page 2: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

vii

ABSTRACT

This is a study on modeling the MR damper using RBF. MR damper can be

simplify as a damper that using MR fluids. MR fluid contains magnetic particles which

will react to current flow when power is supplied. The viscosity of the fluid depends on

the current flow. The stiffness of the damper depends on the fluids. This modeling is to

achieve the similarity of the results of the experiment using proper machine and

apparatus and by using MATLAB software. The data that are obtained from the

experiment are used in the MATLAB software to generate graphs. The RBF equations

are used in the m-file to get the similarity as the graph from experiment. Comparisons

between the graphs are decided by inspection and the most accurate, by using the

RMSE graph. The input in m-file is adjusted again and again to get the smallest RMSE

as possible.

Page 3: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

viii

ABSTRAK

Ini adalah satu kajian ke atas model peredam MR menggunakan RBF. Peredam

MR dirigkaskan sebagai peredam yang menggunakan cecair MR. Cecair MR

mengandungi zarah-zarah magnetik yang akan bertindak balas ke atas arus elektrik

apabila kuasa dibekalkan. Kelikatan cecair bergantung kepada bekalan kuasa.

Kekukuhan peredam bergantung kepada cecair. Kemodelan ini adalah untuk mencari

persamaan antara keputusan eksperimen yang menggunakan mesin dan peralatan yang

betul dan dengan menggunakan perisian MATLAB. Data yang diperolehi dari

eksperimen akan digunakan didalam perisian MATLAB untuk menjana graf.

Persamaan RBF digunakan didalam m-file untuk mendapatkan persamaan antara graf

dari eksperimen. Perbandigan antara graf diputuskan dari pemerhatian dan yang paling

tepat adalah dari graf RMSE. Input didalam m-file diselaraskan berulang kali untuk

mendapatkan nilai RMSE yang kecil yang mungkin.

Page 4: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

ix

TABLE OF CONTENTS

TITLE Page

EXAMINER DECLARATION ii

SUPERVISOR DECLARATION iii

STUDENT DECLARATION iv

DEDICATION v

ACKNOWLEDGEMENTS vi

ABSTRACT vii

ABSTRAK viii

TABLE OF CONTENTS ix

LIST OF TABLES xiii

LIST OF FIGURES xiv

CHAPTER 1 INTRODUCTION

1.1 Introduction 1

1.2 Problem Statement 2

1.3 Objective of Project 2

1.4 Scope of Project 2

Page 5: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

x

CHAPTER 2 LITERATURE REVIEW

2.1 Introduction 3

2.2 Types of Damping System 6

2.3 Design of MR Damper 8

2.4 Radial Basis Function Network 9

CHAPTER 3 METHODOLOGY

3.1 Introduction 12

3.2 Flow Chart 12

3.2.1 Flow Chart of Experiment Setup 13

3.2.2 Flow Chart of Final Year Project 1 14

3.2.2 Flow Chart of Final Year Project 2 15

3.3 MR Damper Experiment Setup 16

3.4 MATLAB Software Setup 17

3.4.1 M-file Script 17

3.4.2 Simulink Diagram 19

3.4.3 Plotting Graphs 20

CHAPTER 4 RESULT AND DISCUSSION

4.1 Introduction 22

Page 6: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

xi

4.2 Data Analysis 22

4.2.1 Actual MR Force and RBF Force Graph 23

4.2.2 Displacement Graph 23

4.2.3 Velocity Graph 24

4.2.4 Actual MR Force vs Displacement Graph 24

4.2.5 Displacement vs Actual MR Force Graph 25

4.2.6 Velocity vs Actual MR Force Graph 25

4.2.7 Displacement vs Actual MR Force and RBF Force Graph 26

4.2.8 Velocity vs Actual MR Force and RBF Force Graph 26

4.2.9 Actual MR Force Graph 27

4.2.10 RBF Force Graph 27

4.2.11 Root Mean Square Error (RMSE) 28

4.3 Results 28

4.3.1 Results for Non-current (0A) 29

4.3.2 Results for 0.5A 32

4.3.3 Results for 1.0A 35

4.3.4 Results for 1.5A 38

4.3.5 Resultsfor 2.0A 41

4.3.6 RMSE Calculation 43

CHAPTER 5 CONCLUSION AND RECOMMENDATIONS

5.1 Introduction 46

Page 7: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

xii

5.2 Conclusion 46

5.3 Future Recommendations 47

REFERENCES 48

Page 8: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

xiii

LIST OF TABLES

Table No. Title Page

4.1 RMSE Values of Five Currents 45

Page 9: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

xiv

LIST OF FIGURES

Figure No. Title Page

Figure 2.1 MR Fluid When Power is Not Supply. 3

Figure 2.2 MR Fluid When Power is Supply. 4

Figure 2.3 MR Fluid in Squeeze Mode. 5

Figure 2.4 MR Fluid in Shear Mode. 5

Figure 2.5 MR Fluid in Valve Mode. 5

Figure 2.6 Passive Damping System 7

Figure 2.7 Semi-active Damping System 7

Figure 2.8 Active Damping System 7

Figure 2.9 Monotube MR Damper. 8

Figure 2.10 Twin Tube MR Damper. 8

Figure 2.11 Double-ended MR Damper 9

Figure 2.12 Example of RBF Structure. 9

Figure 2.13 Gaussian RBF 11

Figure 2.14 Multiquadratic RBF 11

Figure 3.1 Experiment Flow Chart 13

Figure 3.2 Flow Chart of Final Year Project 1 14

Figure 3.3 Flow Chart of Final Year Project 2 15

Figure 3.4 Equipment for Identification of MR Damper 16

Figure 3.5 MATLAB’s version. 17

Figure 3.6 Simulink Model. 19

Page 10: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

xv

Figure 3.7 Sample of Generated Graph. 20

Figure 3.8 MATLAB Command Menu. 21

Figure 4.1 Actual MR Force and RBF Force Graphs 23

Figure 4.2 Displacement Graph. 23

Figure 4.3 Velocity Graph. 24

Figure 4.4 Actual MR Force vs Displacement Graph. 24

Figure 4.5 Displacement vs Actual MR Force Graph. 25

Figure 4.6 Velocity vs Actual MR Force Graph. 25

Figure 4.7 Displacement vs Actual MR Force and RBF Force Graph. 26

Figure 4.8 Velocity vs Actual MR Force and RBF Force Graph. 26

Figure 4.9 Actual MR Force Graph. 27

Figure 4.10 RBF Force Graph. 27

Figure 4.11 Force Graph (RMSE). 28

Figure 4.12 Displacement Graph. 29

Figure 4.13 Velocity Graph. 29

Figure 4.14 Actual MR Force Graph 30

Figure 4.15 RBF Force Graph. 30

Figure 4.16 Actual MR & RBF Force Graph. 31

Figure 4.17 Force (RMSE) Graph. 31

Figure 4.18 Displacement Graph. 32

Figure 4.19 Velocity Graph. 32

Figure 4.20 Actual MR Force Graph. 33

Page 11: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

xvi

Figure 4.21 RBF force Graph. 33

Figure 4.22 Actual MR & RBF Force Graph. 34

Figure 4.23 Force (RMSE) Graph. 34

Figure 4.24 Displacement Graph. 35

Figure 4.25 Velocity Graph. 35

Figure 4.26 Actual MR Force Graph. 36

Figure 4.27 RBF Force Graph. 36

Figure 4.28 Actual MR & RBF Force Graph. 37

Figure 4.29 Force (RMSE) Graph. 37

Figure 4.30 Displacement Graph. 38

Figure 4.31 Velocity Graph. 38

Figure 4.32 Actual MR Force Graph. 39

Figure 4.33 RBF Force Graph. 39

Figure 4.34 Actual MR & RBF Force Graph. 40

Figure 4.35 Force (RMSE) Graph. 40

Figure 4.36 Displacement Graph. 41

Figure 4.37 Velocity Graph. 41

Figure 4.38 Actual MR Force Graph. 42

Figure 4.39 RBF Force Graph. 42

Figure 4.40 Actual MR & RBF Force Graph. 43

Figure 4.41 Force (RMSE) Graph. 43

Page 12: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

xvii

Figure 4.42 Example of File Listed. 44

Figure 4.43 Listed Values. 44

Page 13: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

1

CHAPTER 1

INTRODUCTION

1.1 INTRODUCTION

In vehicles suspension system, there are many differences of damping system or

suspension system between ordinary cars’, four wheel drive vehicles’, luxury cars’ and

other land transports’ such as the spring’s stiffness, the fluids’ stiffness, and more.

Imagine that we can control the stiffness during our ride, it will be much more

comfortable than usual. One of the methods is by using the magneto-rheological

damper.

Magneto-rheological (MR) damper is a damper filled with MR fluids which can

simply know as fluid with magnetic particles. This MR fluid will increase its stiffness

when there is electrical field. The stiffness will increase as the current increase. MR

damper are not restricted just in vehicles’ suspension system but they are also used in

buildings as to stabilize them during earthquake.

MR damper is a semi-active control device and has been characterized by a set

of nonlinear differential equations which represent a model of the MR damper. By

using this mathematical model, the force of the MR damper is directly solved to a given

displacement and applied voltage. However, solving the non-linear equations

describing the performance of the MR damper may be difficult or time consuming to

predict a required voltage. Recently, the artificial neural network has been effectively

applied to model complex systems because of its great training process.

Page 14: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

2

1.2 PROBLEM STATEMENT

The problem statements of this project are expressed as follows:

i) To use the MATLAB software for modeling.

ii) To get the similar result as an actual MR damper using Radial Basis Function

(RBF) method.

iii) The result errors must be small.

1.3 OBJECTIVE OF PROJECT

The objectives of this project are as follows:

i) To model MR damper using RBF method.

ii) To get the similar results as the actual MR damper.

iii) To get the small root mean square errors (RMSE).

1.4 SCOPE OF PROJECT

This project is using MATLAB software to create simulation for modeling the MR

damper with Radial Basis Function (RBF) and compared the results between the

theoretical and the experimental. Then, the graph behaviors between those two results

need to be analyzed whether they are similar or not and to check the RMSE by various

input.

Page 15: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

3

CHAPTER 2

LITERATURE REVIEW

2.1 INTRODUCTION

This chapter will tell more details about Magneto Rheological (MR)

Fluids, the uses of MR fluids, types of damping system, design of MR damper.

Magneto-Rheological Fluid or MR fluid as stated by Spencer et. al

(1996) is composed of oil and varying percentage of iron particles that have

been coated with an anti-coagulant material. When the electricity is inactivated,

MR fluid acted like ordinary damper oil (Figure 2.1). When the power is

supplied, it will create a magnetic field, micron-size iron particles that are

dispersed throughout the fluid align themselves along magnetic flux lines

(Figure 2.2). Thus, this will increase the MR fluid’s viscosity. MR fluids are

effective to control vibrations.

Figure 2.1 : MR Fluid When Power is Not Supply.

Page 16: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

4

Figure 2.2 : MR Fluid When Power is Supply.

MR fluid can be used in three different ways, all of which can be applied

to MR damper design depending on the damper’s intended use. These modes of

operation are referred to as squeeze mode, valve mode, and shear mode. A

device that uses squeeze mode has a thin film (on the order of 0.020 in.) of MR

fluid that is sandwiched between paramagnetic pole surfaces as shown in Figure

2.3. The MR fluid device is said to operate in shear mode when a thin layer (≈

0.005 to 0.015 in.) of MR fluid is sandwiched between two paramagnetic

moving surfaces. Shear mode (Figure 2.4) is useful primarily for dampers that

are not required to produce large forces and for clutches and brakes. The last

mode of MR damper operation, valve mode (Figure 2.5), is the most widely

used of the three modes. MR device is said to operate in valve mode when the

MR fluid is used to impede the flow of MR fluid from one reservoir to another.

(James, 2001)

Page 17: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

5

Figure 2.3 : MR Fluid in Squeeze Mode.

Figure 2.4 : MR Fluid in Shear Mode.

Figure 2.5: MR Fluid in Valve Mode.

Source: James, 2001.

Page 18: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

6

2.2 TYPES OF DAMPING SYSTEM

Ashfak et. al (2009) figured the passive suspension’s drawbacks can be

overcome by resorting to one of three techniques, adaptive, semi-active or fully

active suspension. An adaptive suspension utilizes a passive spring and an

adjustable damper with slow response to improve the control of ride and

handling. A semi-active suspension is similar, except that the adjustable damper

has fast response (about 10 milisecond) and the damping force is controlled in

real time. A fully active suspension replace the damper with a hydraulic actuator

which can achieve optimum vehicle control, but expensive. Vibration control is

becoming increasingly important as the design of mechanisms become more

and more precise and less tolerant to transient vibration. Active and semi-active

controls provide an important new tool for the control engineer. Transports,

buildings, and other have already been design using the active and semi-active

damping system.

To simplify, the passive damper system (Figure 2.6) is which the spring

is chose base of the vehicle’s weight and it using either gas or oit to control the

suspension movement. The semi-active (Figure 2.7) system is just like the

passive but the damper is controllable and using the MR fluid. On the other

hand, the active system (Figure 2.8) is using actuator instead of damper.

An actuator is a type of motor for moving or controlling a mechanism or system.

It is operated by a source of energy, usually in the form of an electric

current, hydraulic fluid pressure or pneumatic pressure, and converts that energy

into some kind of motion.

Page 19: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

7

Figure 2.6 : Passive Damping System

Figure 2.7 : Semi-active Damping System

Figure 2.8 : Active Damping System

Source: Ashfak et. al, 2009.

Page 20: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

8

2.3 DESIGN OF MR DAMPER

So far there are known three designs of MR damper. They are monotubeMR damper (Figure 2.9), twin tube MR damper (Figure 2.10) and double-endedMR damper (Figure 2.11). A monotube MR damper is one that has only onereservoir for the MR fluid and also has some way to allow for the change involume that results from piston rod movement. The twin tube MR damper isone that has two fluid reservoirs, one inside of the other. This inner housing isfilled with MR fluid so that no air pockets exist. The double-ended MR damperhas a piston rod of equal diameter protrudes from both ends of the damperhousing. (James, 2001).

Figure 2.9 : Monotube MR Damper.

Figure 2.10 : Twin Tube MR Damper.

Page 21: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

9

Figure 2.11 : Double-ended MR Damper

Source: James, 2001.

2.4 RADIAL BASIS FUNCTION (RBF) NETWORK

Mark (1996) stated that RBF is a real valued function whose value

depends only on the distance from the origin. The basic architecture for a RBF

is a 3-layer network, as shown in Figure 2.12. This is becoming an increasingly

popular neural network with diverse applications and is probably the main rival

to the multi-layered perceptron. Much of the inspiration for RBF networks has

come from traditional statistical pattern classification techniques.

Figure 2.12 : Example of RBF Structure.

Source: Mark, 1996.

Page 22: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

10

An RBF network is nonlinear if the basis functions can move or change

size or if there is more than one hidden layer. The single layer networks with

functions is focused on which are fixed in position and size. A nonlinear

optimisation is used but only for the regularisation parameters in ridge

regression section and the optimal subset of basis functions in forward selection

section. The kind of expensive nonlinear gradient descent algorithms is avoided

such as the conjugate gradient and variable metric methods that are employed in

explicitly nonlinear networks. Keep one foot firmly planted in the world of

linear algebra makes analysis easier and computations quicker.

Radial functions are special class of function. Their characteristic feature

is that their response decreases or increases monotonically with distance from a

central point The centre the distance scale and the precise shape of the radial

function are parameters of the model all xed if it is linear A typical radial

function is the Gaussian which in the case of a scalar input is:

ℎ( ) = exp(− ( ) ) (2.1)

Where h(x) is RBF function and x is the input. Its parameters are its

centre, c and its radius, r. Figure 2.13 and Figure 2.14 illustrates a Gaussian

RBF with centre, c = 0 and radius, r = 1. A Gaussian RBF monotonically

decreases with distance from the centre. In contrast a multiquadric RBF which

in the case of scalar input is monotonically increases with distance from

ℎ( ) = ( )(2.2)

the centre (see Figure 2.13), Gaussian like RBFs are local give a significant

response only in a neighbourhood near the centre and are more commonly

used than multiquadric type RBFs (Figure 2.14) which have a global

response They are also more biologically plausible because their response is

infinite. (Mark, 1996).

Page 23: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

11

Figure 2.13 : Gaussian RBF

Figure 2.14 : Multiquadratic RBF

Source: Mark, 1996.

Displacement, cm

Displacement, cm

Forc

e, N

Forc

e, N

Page 24: MODELLING MAGNETO-RHEOLOGICAL DAMPER USING …umpir.ump.edu.my/8381/1/CD8028_@_48.pdfFigure 2.9 Monotube MR Damper. 8 Figure 2.10 Twin Tube MR Damper. 8 Figure 2.11 Double-ended MR

12

CHAPTER 3

METHODOLOGY

3.1 INTRODUCTION

This project needs to model the MR damper and get the similar result as an

actual MR damper. To do so, it requires modelling and simulating of block diagram by

using MATLAB software. There are three things that need to be considering which are

the inputs, the outputs and the error.

3.2 FLOW CHART

Flow chart can be considered important because it will guide to do the project

properly from the start till the end. The project starts with selecting the project title

which is “Modeling Magneto-Rheological Damper Using Radial Basis Function”. The

supervisor will give the introduction and discussing about the project. We need to use

MATLAB software in this project. Then we need to find the journals for literature

reviews and also to find suitable equation based on our method which is Radial Basis

Function (RBF).

After getting the result of the simulation, we need to discuss about it with the

supervisor so we can know what we are looking for. The process takes plenty of times

to get the best result. In Final Year Project 1 (FYP 1), we need to model the MR