Theory of Vibration: An Introduction

Front Cover
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
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