Engineering Vibration Analysis with Application to Control Systems
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Table of contents
- Cover
- Contentsvii
- Prefacexi
- Acknowledgementsxiii
- General notationxv
- Chapter 1. Introduction1
- Chapter 2. The vibrations of systems having one degree of freedom10
- 2.1 Free undamped vibration11
- 2.2 Free damped vibration28
- 2.3 Forced vibration46
- Chapter 3. The vibrations of systems having more than one degree of freedom88
- 3.1 The vibration of systems with two degrees of freedom92
- 3.2 The vibration of systems with more than two degrees of freedom115
- Chapter 4. The vibrations of systems with distributed mass and elasticity141
- 4.1 Wave motion141
- 4.2 Transverse vibration147
- 4.3 The analysis of continuous systems by Rayleigh's energy method159
- 4.4 The stability of vibrating systems169
- 4.5 The finite element method170
- Chapter 5. Automatic control systems171
- 5.1 The simple hydraulic servo178
- 5.2 Modifications to the simple hydraulic servo185
- 5.3 The electric position servomechanism194
- 5.4 The Laplace transformation221
- 5.5 System transfer functions224
- 5.6 Root locus228
- 5.7 Control system frequency response255
- Chapter 6. Problems280
- 6.1 Systems having one degree of freedom280
- 6.2 Systems having more than one degree of freedom292
- 6.3 Systems with distributed mass and elasticity309
- 6.4 Control systems311
- Chapter 7. Answers and solutions to selected problems328
- Bibliography419
- Index423
Most machines and structures are required to operate with low levels of vibration as smooth running leads to reduced stresses and fatigue and little noise. This book provides a thorough explanation of the principles and methods used to analyse the vibrations of engineering systems, combined with a description of how these techniques and results can be applied to the study of control system dynamics. Numerous worked examples are included, as well as problems with worked solutions, and particular attention is paid to the mathematical modelling of dynamic systems and the derivation of the equations of motion.
All engineers, practising and student, should have a good understanding of the methods of analysis available for predicting the vibration response of a system and how it can be modified to produce acceptable results. This text provides an invaluable insight into both.
All engineers, practising and student, should have a good understanding of the methods of analysis available for predicting the vibration response of a system and how it can be modified to produce acceptable results. This text provides an invaluable insight into both.