Solving Vibration Analysis Problems using MATLAB

Cover
......Page 1
Preface......Page 8
Acknowledgements
......Page 10
Contents......Page 12
1.1 Classification of Vibrations
......Page 18
1.2 Elementary Parts of Vibrating Systems 
......Page 19
1.3 Periodic Motion 
......Page 20
1.5 Vibration Analysis
......Page 21
1.5.1 Components of Vibrating Systems
......Page 23
1.6.1 Free Vibration of an Undamped Translational System
......Page 25
1.6.3 Energy Method
......Page 27
1.6.5 Free Vibration With Viscous Damping
......Page 28
1.6.6 Logarithmic Decrement
......Page 30
1.6.8 Free Vibration with Coulomb Damping 
......Page 31
1.7 Forced Vibration of Single-Degree-of-Freedom Systems
......Page 32
1.7.1 Forced Vibrations of Damped System
......Page 33
1.7.1.1 Resonance
......Page 35
1.7.3 Transmissibility
......Page 36
1.7.4 Quality Factor and Bandwidth
......Page 37
1.7.6 Base Excitation
......Page 38
1.7.9 General Forcing Conditions and Response
......Page 39
1.8.3 Response Under a Periodic Force of Irregular Form
......Page 40
1.8.5 Transient Vibration
......Page 41
1.8.7 Impulsive Response of a System
......Page 42
1.9 Two Degree of Freedom Systems
......Page 43
1.9.2 Free Vibration Analysis
......Page 44
1.9.3 Torsional System
......Page 45
1.9.6 Orthogonality Principle
......Page 46
1.10.1 Equations of Motion
......Page 47
1.10.4 Matrix Formulation
......Page 48
1.10.6 Normal Mode Solution
......Page 49
1.10.9 Response of a System to Initial Conditions
......Page 50
1.12 Proportional Damping
......Page 51
1.15 Modal Analysis for Undamped Systems 
......Page 52
1.16.1 Generalized Coordinates
......Page 53
1.18 D'Alembert's Principle 
......Page 54
1.21 Hamilton's Principle
......Page 55
References 
......Page 56
Glossary of Terms 
......Page 57
2.1 Introduction 
......Page 70
2.1.8 The clc Command
......Page 71
2.3 Display Formats
......Page 72
2.4 Elementary Math Built-in Functions
......Page 73
2.6 Predefined Variables......Page 75
2.8 General Commands
......Page 76
2.9.4.1 Colon for a vector
......Page 78
2.9.7 Built-In Functions
......Page 79
2.10.1 Addition and Subtraction of Matrices
......Page 80
2.10.7 Transpose......Page 81
2.10.12 Eigenvalues and Eigenvectors
......Page 82
2.11 Element-by-element Operations
......Page 83
2.11.1 Built-in Functions for Arrays
......Page 84
2.12 Random Numbers Generation 
......Page 85
2.13 Polynomials 
......Page 86
2.14.2 Matrix Inverse
......Page 88
2.15.3 Input to a Script File
......Page 93
2.16.1 Relational and Logical Operators......Page 94
2.16.3 Built-in Logical Functions
......Page 95
2.16.6 else AND else if CLAUSES
......Page 97
2.16.7 MATLAB while Structures
......Page 98
2.17 Graphics 
......Page 99
2.17.2 Specialized 2-D Plots
......Page 100
2.17.3 3-D Plots......Page 101
2.17.4 Saving and Printing Graphs
......Page 107
2.18.1 The fopen Statement
......Page 108
2.19.1 Symbolic Expressions
......Page 109
2.19.2 Solution to Differential Equations
......Page 111
2.19.3 Calculus
......Page 112
2.20 The Laplace Transforms 
......Page 114
2.21.2 Model Conversion
......Page 115
2.22 The Laplace Transforms 
......Page 118
Model Problems and Solutions
......Page 119
2.23 Summary 
......Page 154
Problems
......Page 155
3.2 Example Problems and Solutions
......Page 167
3.3 Summary 
......Page 214
Problems 
......Page 215
Bibliography
......Page 224