# Theory of Vibration: An Introduction

Springer Science & Business Media, Dec 8, 1995 - Technology & Engineering - 350 pages
The aim of this book is to impart a sound understanding, both physical and mathematical, of the fundamental theory of vibration and its applications. The book presents in a simple and systematic manner techniques that can easily be applied to the analysis of vibration of mechanical and structural systems. Unlike other texts on vibrations, the approach is general, based on the conservation of energy and Lagrangian dynamics, and develops specific techniques from these foundations in clearly understandable stages. Suitable for a one-semester course on vibrations, the book presents new concepts in simple terms and explains procedures for solving problems in considerable detail.

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konular intro da n donuna kadar güzel bir sırsayla alınmış bunun dışında anlatım dili akıcı olmakla beraber kullanışli bir kitap..

### Contents

 Introduction 1 11 BASIC DEFINITIONS 2 12 ELEMENTS OF THE VIBRATION MODELS 4 13 PARTICLE DYNAMICS 10 14 SYSTEMS OF PARTICLES 16 15 DYNAMICS OF RIGID BODIES 19 16 LINEARIZATION OF THE DIFFERENTIAL EQUATIONS 26 17 IDEALIZATION OF MECHANICAL AND STRUCTURAL SYSTEMS 29
 47 MEASURING INSTRUMENTS 166 48 EXPERIMENTAL METHODS FOR DAMPING EVALUATION 170 Problems 176 Response to Nonharmonic Forces 185 52 DETERMINATION OF THE FOURIER COEFFICIENTS 187 53 SPECIAL CASES 195 54 VIBRATION UNDER PERIODIC FORCING FUNCTIONS 198 55 IMPULSIVE MOTION 204

 Problems 32 Solution of the Vibration Equations 33 21 HOMOGENEOUS DIFFERENTIAL EQUATIONS 34 22 INITIAL CONDITIONS 46 23 SOLUTION OF NONHOMOGENEOUS EQUATIONS WITH CONSTANT COEFFICIENTS 50 24 STABILITY OF MOTION 55 Problems 59 Free Vibration of Single Degree of Freedom Systems 61 32 ANALYSIS OF THE OSCILLATORY MOTION 66 33 STABILITY OF UNDAMPED LINEAR SYSTEMS 75 34 CONTINUOUS SYSTEMS 78 35 EQUIVALENT SYSTEMS 84 36 FREE DAMPED VIBRATION 88 37 LOGARITHMIC DECREMENT 99 38 STRUCTURAL DAMPING 102 39 COULOMB DAMPING 105 310 SELFEXCITED VIBRATION 109 311 MOTION CONTROL 114 312 IMPACT DYNAMICS 117 Problems 121 Forced Vibration 135 42 FORCED UNDAMPED VIBRATION 136 43 RESONANCE AND BEATING 142 44 FORCED VIBRATION OF DAMPED SYSTEMS 147 45 ROTATING UNBALANCE 155 46 BASE MOTION 161
 56 RESPONSE TO AN ARBITRARY FORCING FUNCTION 208 57 FREQUENCY CONTENTS IN ARBITRARY FORCING FUNCTIONS 216 58 COMPUTER METHODS IN NONLINEAR VIBRATION 219 Problems 230 Systems with More Than One Degree of Freedom 237 61 FREE UNDAMPED VIBRATION 238 62 MATRIX EQUATIONS 243 63 DAMPED FREE VIBRATION 256 64 UNDAMPED FORCED VIBRATION 266 65 VIBRATION ABSORBER OF THE UNDAMPED SYSTEM 273 66 FORCED VIBRATION OF DAMPED SYSTEMS 276 67 THE UNTUNED VISCOUS VIBRATION ABSORBER 280 68 MULTIDEGREE OF FREEDOM SYSTEMS 284 Problems 291 Continuous Systems 301 72 FREE TORSIONAL VIBRATIONS 312 73 FREE TRANSVERSE VIBRATIONS 316 74 ORTHOGONALITY OF THE EIGENFUNCTIONS 323 75 FORCED LONGITUDINAL AND TORSIONAL VIBRATIONS 329 76 FORCED TRANSVERSE VIBRATIONS 333 Problems 334 References 337 Answers to Selected Problems 339 Index 345 Copyright

### References to this book

 Vibrations and Stability: Advanced Theory, Analysis, and ToolsJon Juel ThomsenLimited preview - 2003
 Vibration of Discrete and Continuous SystemsAhmed ShabanaLimited preview - 1996
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