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i EXPERIMENTAL INVESTIGATION OF PASSIVE TUNED MASS DAMPER AND FLUID VISCOUS DAMPER ON A SLENDER TWO DIMENSION STEEL FRAME MEISAM GORDAN A project report submitted in partial fulfillment of the Requirements for the award of the degree of Master of Engineering (Civil - Structure) Faculty of Civil Engineering UniversitiTeknologi Malaysia JANUARY 2014
Transcript

i

EXPERIMENTAL INVESTIGATION OF PASSIVE TUNED MASS DAMPER

AND FLUID VISCOUS DAMPER ON A SLENDER TWO DIMENSION STEEL

FRAME

MEISAM GORDAN

A project report submitted in partial fulfillment of the

Requirements for the award of the degree of

Master of Engineering (Civil - Structure)

Faculty of Civil Engineering

UniversitiTeknologi Malaysia

JANUARY 2014

iii

To my beloved mother and father

iv

ACKNOWLEDGEMENT

First and foremost, I would like to express my sincerest gratitude and

appreciation to my supervisor, Assoc. Prof. Dr. Abdul Kadir Bin Marsono for his

worthwhile guidance throughout this project. His wide knowledge and his expert

advice during the period I have been carrying out this research, has been of great

value for me. His invaluable comments, kind consideration, encouragement and

support have provided a good basis for the present thesis.

And then I would like to thanks who support me morally to finish my report.

Their precious opinion is useful for me to have an idea in completing this report.

v

ABSTRACT

Vibration is a serious concern for tall buildings added to a natural disaster

such as earthquake, wind storms, sea waves and hurricanes. The risk of occurrence of

structural damage can be decreased by using a controlled vibration system to

increase the damping characteristics of a structure. Damping is defined as the ability

of the structure to dissipate a portion of the energy released during a dynamic loading

event. The aims of this study are (1) to investigate a 4-storey 2D steel frame retrofit

with tuned mass damper to reduce its vibration as well as compare the results with

response displacement of the structure using viscous damper. In this project, the

focus is limited to present an experimental model with semi-rigid connections and to

show its validity by comparing the experimental results (achieved from shaking table

test) with the analytical results obtained from theoretical model (SAP2000 software),

(2) to demonstrate the performance of such a damper when fitted to a structure by

analysis and tests the models and (3) comparison the dynamic responses of the

structure in three verify of: a) using passive tuned mass damper, b) using viscous

damper and c) using the combination of these two damping devices. Therefore, a

series of shaking table tests of the 4-storey 2D steel frame

with and

without passive tuned mass damper (PTMD) and viscous damper (VD) was carried

out to evaluate the performance of the buildings. The results of the experimental tests

illustrate that damping devices decrease the structural responses of slender frame on

shaking table. In addition, effectiveness of passive tuned mass damper is greater than

viscous damper.

vi

ABSTRAK

Getaran adalah satu kebimbangan yang serius untuk bangunan tinggi

ditambah kepada bencana alam seperti gempa bumi , ribut angin, ombak laut dan

ribut taufan. Risiko berlakunya kerosakan struktur boleh dikurangkan dengan

menggunakan sistem kawalan getaran untuk meningkatkan ciri-ciri redaman struktur.

Redaman ditakrifkan sebagai keupayaan struktur untuk menghilangkan sebahagian

daripada tenaga yang dibebaskan semasa acara muatan dinamik. Tujuan kajian ini

ialah (1) untuk menyiasat bingkai keluli (4 tingkat) 2D yang diselaras dengan

peredam untuk mengurangkan getaran. Ia membandingkan keputusan anjakan bebas

struktur dengan struktur diperkuat degan menggunakan redaman likat. Dalam projek

ini , sambungan separa tegar diguna pada ujian dengan keputusan analisis yang

diperolehi daripada model teori (perisian SAP2000) , (2 ) untuk menunjukkan

prestasi peredam yang dipasang pada struktur dengan analisis dan (3) perbandingan

respons dinamik struktur dalam tiga keadaan : a) peredam massa pasif ditala, b) yang

menggunakan peredam likat dan c) menggunakan gabungan kedua-dua peranti

peredam. Oleh itu , satu siri ujian kerangka 4 tingkat kerangka keluli 2D (skala : 1/ 4)

tanpa peredam massa pasif ( PTMD ) dan peredam likat ( VD) telah dijalankan untuk

menilai prestasi kerangka. Keputusan ujian uji kaji menunjukkan bahawa peranti

redaman mengurangkan tindak balas struktur di atas meja getaran. Di samping itu,

keberkesanan peredam massa pasif ditala adalah lebih besar daripada peredam likat.

vii

TABLE OF CONTENTS

CHAPTER TITLE PAGE

DECLARATION ii

DEDICATION iii

ACKNOWLEDGEMENT iv

ABSTRACT v

ABSTRAK vi

TABLE OF CONTENTS vii

LIST OF TABLES xi

LIST OF FIGURES xii

LIST OF SYMBOLS xv

LIST OF ABBREVIATIONS xvii

LIST OF EQUATIONS xviii

1. INTRODUCTION 1

1.1 Types of Loads 1

1.1.1 Static Loads 2

1.1.2 Dynamic Loads 2

1.2 Damping 4

1.3 Research Background 5

1.4 Problem Statement 7

viii

1.5 Objectives 8

1.6 Scope of Study 8

2. LITERATURE REVIEW 10

2.1 Seismic Isolation Systems 10

2.2 Control System 11

2.3 Types of Control Systems 12

2.3.1 Passive Control System 12

2.3.2 Active Control System 14

2.3.3 Semi-Active Control System 15

2.3.4 Hybrid Control System 16

2.4 Tuned Mass Damper (TMD) 17

2.5 Worldwide Examples of High-rise Buildings with Tuned

Mass Damper System 24

2.5.1 Water Tank TMD at Sydney Tower 24

2.5.2 TMD at Chifley Tower 25

2.5.3 TMD System at Citicorp Center, New York City 26

2.5.4 TMD in Taipei 101 High-rise Building 27

2.6 Effectiveness of A Tuned Mass Damper 28

2.7 Types of Tuned Mass Damper 30

2.7.1 Passive Tuned Mass Damper (PTMD) 30

2.7.2 Active Tuned Mass Damper (ATMD) 31

2.7.3 Semi-Active Tuned Mass Damper (SATMD) 32

2.7.4 Multiple Tuned Mass Damper (MTMD) 33

2.8 Tuned Mass Damper Parameters 34

2.9 Auxiliary Damping Systems 34

2.9.1 Viscous Fluid Damper 34

ix

2.9.2 Viscoelastic Damper 36

2.9.3 Friction Damper 36

2.9.4 Electro Rheological and Magneto Rheological

Dampers 37

2.10 Vibration Measurement 38

2.10.1 Vibration System 38

2.10.2 Classification of Vibration 39

2.10.3 Harmonic Motion 40

2.10.4 Degree of Freedom 42

2.11 Dynamic Test Methods on Models 42

2.12 Scale Model Design for the Shaking Table 43

2.13 Experimental Modeling 44

2.14 Scale Modeling 45

2.15 Model Studies of Steel Structures 48

2.16 Structural System 49

2.17 Geometric Scales 50

2.18 Summary 50

3. METHODOLOGY 52

3.1 Material Properties of Scale Models 53

3.2 Dimensions of Frame 54

3.3 Experimental Devices 55

3.3.1 Data Logger 55

3.4 Design the Damping Devices 57

3.5 Flowchart of Experimental Procedure 60

3.6 Summary 61

4. RESULT AND DISCUSSION 62

x

4.1 Testing Procedures 62

4.2 Input Dynamic Loading 64

4.3 Natural Frequency of the Structure 64

4.4 The Design of the Damping Devices 65

4.4.1 Design the Mass of the PTMD 65

4.4.2 Design the Spring of the PTMD 66

4.4.3 Design the Damping Coefficient of the Damping

Devices 66

4.5 The Response of Displacement 67

4.6 Combination of Models 71

4.7 Summary 74

5. CONCLUSION 75

5.1 Suggestion for Future Research 78

REFERENCES 79

APPENDIX 84

xi

LIST OF TABLES

TABLE NO. TITLE PAGE

2.1 World wide applications of Tuned Mass Dampers

(Kwok and Samali, 1995) 21

2.2 Similitude relations (Ramu. M, 2007) 47

2.3 Geometric Scales (Harris and Sabnis, 1999) 50

‎3.1 Material Properties 54

‎3.2 Dimensions of the frame 54

3.3 Number of Active Coils (Century Spring Corporation, 2011) 59

4.1 Mass of the PTMD 66

4.2 Characteristics of the springs 66

4.3 Damping Coefficient Parameters 67

4.4 Response displacement of the structure without

damping device 68

4.5 Response displacement of the structure with

viscous damper (VD) 68

4.6 Response displacement of the structure with

passive tuned mass damper (PTMD) 69

4.7 Response displacement of the structure with

combination of damping devices (PTMD & VD) 70

xii

LIST OF FIGURES

FIGURE NO. TITLE PAGE

1.1 Overview of scheme to determine wind effects on structures.

(Kijewski, Haan, & Kareem, 2001) 3

2.1 Types of damping(Pashaei, 2004) 12

2.2 Conventional structures (Soong & spencer Jr, 2002) 13

‎2.3 Structure with Passive Energy Dissipation (PED) Scheme

(Soong & Spencer Jr, 2002) 13

2.4 Structure with Active Control Scheme

(Soong & Spencer Jr, 2002) 14

2.5 Structure with Semi Active Control Scheme

(Soong & spencer Jr, 2002) 16

2.6 Structure with Hybrid Control Scheme

(Soong & spencer Jr, 2002) 17

‎2.7 Schematic of a TMD (Kourakis, 2007) 18

‎2.8 One degree of freedom system fitted with TMD

(Kwok & Samali, 1995) 19

2.9 A tuned mass damper (TMD) system in horizontal and vertical

position(Pashaei, 2004) 20

2.10 Water tank TMD at Sydney Tower (Kwok et al., 1995) 24

‎2.11 TMD at Chifley Tower (Kwok et al., 1995) 25

2.12 TMD system at Citicorp Center, New York City

(Kwok et al., 1995) 26

2.13 TMD in Taipei 101(Infanti et al., 2008) 27

‎2.14 Effectiveness of a TMD (Hartog J. P., 1985) 28

xiii

2.15 An active mass damper and active tuned mass damper

(Pashaei, 2004) 32

2.16 A viscous damper

(http://www.oiles.co.jp/en/menshin/building/control/bmd.html) 35

2.17 A viscous damper in a structure (Pashaei, 2004) 35

2.18 A friction damper device and its application 37

‎2.19 Schematic view of ER/MR damper (Pashaei, 2004) 38

2.20 Plot of a harmonic motion (Equation 2.3) (Thomson, 1993) 41

2.21 Single degree of freedom systems 42

2.22 Structural system graph (Marsono, 2012) 49

3.1 Elevation of the Frame 53

3.2 Shaking Table 55

3.3 USB Accelerometer, Model XLR8R 56

‎3.4 Scheme Distribution of the Accelerometers 56

3.5 Characteristics of the spring 58

3.6 Flowchart of the experimental procedure 60

‎4.1 Experimental setup 63

4.2 Input Dynamic Harmonic Loading 64

4.3 Natural frequency of the frame at x direction 65

4.4 Response displacement of the unequipped structure 68

‎4.5 Response displacement of the structure with viscous damper 69

4.6 Response displacement of the structure with

passive tuned mass damper 69

‎4.7 Response displacement of the equipped structure with

combination of damping devices 70

4.8 Comparison the displacement of the structure with and without

viscous damper 71

4.9 Comparison the response displacement of the structure

without damper and with tuned mass damper 71

4.10 Comparison the response displacement of the structure

without damper and with combination of damping devices 72

4.11 Comparison the effectiveness of tuned mass damper

and viscous damper 72

xiv

4.12 Comparison the effectiveness of damping devices

and tuned mass damper 73

4.13 Comparison the effectiveness of damping devices

and viscous damper 73

‎4.14 Response displacement of the structure with

and without damping devices 74

5.1 Response displacement of the frame with and without TMD 76

5.2 Comparison the effectiveness of tuned mass damper

and viscous damper 76

5.3 Changing the behavior of the frame with adding

damping devices 77

5.4 Outcomes of SAP2000 77

xv

LIST OF SYMBOLS

- Amplitude of the motion

- Damping coefficient

C - A constant determined

- Damping coefficient of damper

- Wire diameter

D - Mean diameter

- Output force

- Optimum natural frequency

- Natural Frequency of Damper

- Natural Frequency of Structure

- Spring steel modulus

- Damping Ratio

- Optimum Damping Ratio of damper

- Stiffness of structure

- Stiffness of damper

- Mass of the structure

- Mass of damper

n - A constant exponent

n - Number of active coils

N - Number of total coils

- Circular frequency of the motion

- Frequency of damper

- Excitation

- Time

xvi

- Velocity

- Acceleration

- Displacement of the damper

- Mass ratio

xvii

LIST OF ABBREVIATIONS

2D - Tow dimension

ATMD - Active Tuned Mass Damper

TMD - Tuned Mass Damper

PTMD - Passive Tuned Mass Damper

PED - Passive Energy Dissipation

MTMD - Multiple Tuned Mass Dampers

STMD - Smart Tuned Mass Damper

TLD - Tuned Liquid Dampers

TLCD - Tuned Liquid Column Damper

TSD - Tuned Sloshing Damper

VD - Viscous Damper

SDOF - Single Degree Of Freedom

xviii

LIST OF EQUATIONS

EQUATION NO. TITLE PAGE

2.1 Natural frequency 35

2.2 Periodic motion 35

2.3 Harmonic motion 35

2.4 Frequency 35

3.1 Mass ratio 47

3.2 Optimum damping ratio 48

3.3 Optimum natural frequency of the damper 48

3.4 Damping coefficient 48

3.5 Stiffness of the TMD 48

3.6 Characteristics of the spring 49

1

CHAPTER 1

1. INTRODUCTION

In last decades a large number of tall structures have been proposed and built

worldwide. In our modern society, tall structures are an essential component of new

civilization. Generally, these structures are designed to resist static loads. On the

other hand, they may be subjected to dynamic loads like earthquakes, winds, waves,

and traffic. These loads can cause intensive and continuous vibrational motions that

damage to the structure and human inhabitants. Because of this, safer tall buildings

should be designed.

1.1 Types of Loads

There are two types of forces that may act on structures, namely static and

dynamic forces (Filiatrault, 2002).

2

1.1.1 Static Loads

Static loads are those that are gradually applied and remain in place for longer

duration of time. These loads are not time dependent. As an illustration, a live load

on a structure is considered as a static load. Most loading applied to civil-engineering

structure, includes seismic loads, are usually considered as an equivalent static loads.

The amplitude, direction and location of a static load do not vary with time

(Filiatrault, 2002).

1.1.2 Dynamic Loads

Dynamic loads are time dependent. Earthquake loads, machinery vibrations

and blast loadings are examples of dynamic loads. The amplitude, direction and

location of a dynamic load vary with time. The main purpose of structural dynamics

is to evaluate the time variations of stresses and deformations in structures caused by

arbitrary dynamic loads (Filiatrault, 2002). Dynamic loads on tall structures; such as

those stemming from wind and earthquake can cause human discomfort, motion

sickness and sometimes endanger structural safety and integrity (Aldawod, Samali,

Naghdy, & Kwok, 2001).

Random loads are described by statistical parameters (mean, standard

deviation, frequency contents, etc.) (Filiatrault, 2002).

The amplitude, direction and location of a deterministic load are known at all

times. Two classes of deterministic loads can be differentiated: periodic loads and

non-periodic loads (Filiatrault, 2002).

3

Wind is a phenomenon of great complexity because of the many flow

situations arising from the interaction of wind with structures ( Mendis, Ngo, Haritos,

& Hira, 2007).

Modern structures move toward taller and more bendable designs, hence the

problems of wind effects on these types of structures endanger structural integrity as

well as increase human discomfort. As a result, a various group of contributions must

be considered, as illustrated in Figure 1 (Kijewski, Haan, & Kareem, 2001).

Figure ‎1.1 Overview of scheme to determine wind effects on structures. (Kijewski,

Haan, & Kareem, 2001)

4

Earthquake loads are lateral loads. Ground moves suddenly in horizontal and

vertical directions. Earthquakes create vibrations on the ground that are translated

into dynamic loads which cause the ground and anything attached to it to vibrate in a

complex manner and causing damage to buildings and other structures (S & R,

2012).

Earthquakes are occasional forces on structures that may occur during the

lifetime of buildings. As seismic waves move through the ground, they create a series

of vibrations. These movements are translated into dynamic loads or inertial forces

that cause the ground and anything attached to it to vibrate in a complex manner.

These inertial forces cause damage to buildings and other structures (S & R, 2012).In

short, earthquake is focus to cause extensive damage in certain areas, and relatively

little damage in others (Wen, Hu, & Chau, 2002).

1.2 Damping

Damping is associated with the energy dissipation properties of a material or

system under cyclic stress. Damping in a vibrating structure is associated with the

dissipation of mechanical energy, usually by converting into thermal energy

(Pashaie, 2004).

Damping sources normally classified into following deferent types includes:

Material Damping, System Damping, Radiation Damping, Auxiliary Damping

(Pashaie, 2004).

A damper is an active or a passive control device that helps to suppress the

vibration of a structure by dissipating energy through it when it is excited by

dynamic forces. The role of such devices has gained considerable importance as the

5

structures in various applications are now becoming more flexible and lightly

damped (Sarkar & Gudmestad, 2013).

Dynamic vibration absorbers (DVAs) are well-established passive vibration

control devices attached to structures susceptible to vibrations such as high-rise

buildings, long-span bridges and light-weight floor systems. The first DVA was

invented in the form of a spring supported mass in 1911. The limitations on the

controlled frequency range lead to the introduction of a damping element parallel to

the spring; hence the damped DVA was born in 1928.The design of DVAs involves

selection of three parameters: mass, frequency and damping. Mass is usually selected

based on the physical constraints pertaining to the specific application and specified

as a ratio to the mass of the primary vibrating system. The frequency of a DVA is

also usually specified as a ratio of damping to the frequency of the primary system

(Tigli, 2012).

1.3 Research Background

Damping is a phenomenon in mechanical system where the vibrational

energy is absorbed and dissipated during oscillation. Research on the damping

properties of solid materials and their engineering significance was started almost

250 years ago. However, the complexity of damping phenomenon has prevented a

complete understanding of the mechanisms by which the vibrational energy is

dissipated (Pashaei, 2004).

Many of research centers inside and outside of universities were established

all over the world to investigate damping in the structure and materials. The

‗Architecture Institute of Japan‘ (ALJ) and the ‗Building Research Establishment‘

(BRE) in the UK are examples of such centers. ALJ carried out dynamic tests on 123

steel structures and 66 reinforced concrete structures. In the nineteenth century, many

6

vibration studies were undertaken on the viscosity of metals and non-linear nature of

their viscosity. Some investigations were carried out on ‗initial friction‘ oh iron,

silver, copper and other metals. Also, the effects of variables such as amplitude and

frequency of the vibration as well as the initial strain and the size of the body were

studied. During the nineteenth century about 25 papers on damping were published.

During the last four decades huge efforts were spent by physicists, mechanical and

structural engineers to find the damping characteristics in metals, structures and

buildings. During these years thousands of papers have been published. However,

damping is still not exactly understood and efforts to understand the nature of this

phenomenon is continued (Pashaei, 2004). Unfortunately, the study of it as a

vibration is focusing on an isolated cases by not considering whole system.

Several groups of researchers are involved in research in damping with

different aims. For instance the mechanical engineers are concerned about many

unwanted vibrations in mechanical devices and machines. Civil engineers are another

group who are involved in research on damping. They are responsible for

constructing buildings to resist against powerful winds and earthquakes. The civil

engineers are concerned with strong winds especially in tall buildings, frequently,

cause notable vibrations which can cause anxiety and discomfort to the building‘s

occupants. Absorption and dissipation of the vibrational energy is one of the best

methods of reducing motions induced by the winds and earthquakes in buildings and

structures. Also, to predict the behavior of the structures and analyses them, it is

necessary to know the damping characteristics of structures (Pashaei, 2004).

The vibrations of the tall buildings are serious concerns to both engineers and

architects for the protection of the structure safety and occupant comfort. These

structures are subjected to huge dynamic loadings from the winds, earthquakes, water

waves, traffics and human motions. The large vibration amplitude can damage the

main structures or the secondary structures. It also causes a discomfort to human.

General research has been conducted to mitigate this harmful vibration, by, for

example, structure design, vibration isolation systems, and auxiliary damping

systems. Among these methods, the tuned mass damper (TMD) has been proved to

be a very simple and effective vibration suppression device, with many practical

7

implementations on tall buildings, such as Taipei 101 in Taipei, Citi Group Building

in New York, and many others (Chey, 2007).

It is well accepted that earthquakes will continue to occur unpredictably, and

cause significant social structural and economic damage. Assessing earthquake risk

and improving engineering strategies to mitigate damage are thus the only viable

options to create more resilient cities and communities. Geologists, seismologists and

engineers are continuing their efforts to improve zoning maps, create reliable

databases of earthquake processes and their effects, increase understanding of site

characteristics, and develop earthquake resistant designs. As for the engineer, the

ultimate goal is to design damage free, cost effective structures that will behave in a

predictable and acceptable manner to maximize life safety and minimize damage.

The challenges are therefore to develop new techniques and to improve on the

existing practices so that the performance of these structures is predictable and

acceptable. Acceptable means minimal or no damage for credible design events with

no loss of life safety (Chey, 2007).

1.4 Problem Statement

The problem statements of this project are:

Slender structures face some huge vibration than short structures through

wind excitations or seismic motions. Tall structure is subjected to vibration which

may come from wind excitations and earthquakes. In this type of structure only

natural damping is naturally present and it is not sufficiently in order to resist a

strong movement. In other words, if a slender structure faces a powerful vibration

such as that come from seismic motions, tall structure may collapse due to excessive

displacement. Hence, it is essential to install supplement damping to assist the

intensification of damping to avoid damages.

8

The difficulties related to the wind-induced vibrations of tall buildings are

familiar. Wind-induced vibrations in tall buildings may cause many problems like

displeasure of inhabitants, weakened function of tools, or structural harm. Actually

displeasure of residents is more tangible in higher floors.

1.5 Objectives

The objectives of the project are:

a. To evaluate the concept of Tuned Mass Damper (TMD) and Viscous

Damper (VD) for a multi-storey 2D frame.

b. To compare the performance in the form of response displacement of the

slender structure with and without damping devices of (Passive Tuned

Mass Damper, and Viscous Damper) through a series of vibration

harmonic tests.

1.6 Scope of Study

The scopes of this study are, the dynamic Performance of 4-storey 2D steel

frame that are loaded laterally with a time history to obtain the natural frequency.

Focus of this study is on the effectiveness of Tuned Mass Damper as well as Viscous

Damper on the slender structure.

9

In order to design an effective Passive Tuned Mass Damper (PTMD), its

influentially parameters such as frequency (for calculation the stiffness of the spring)

and mass of the damper must be tuned in a way to significantly reduce the structural

response.

79

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