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Table of contents
- Contentsiii
- Prefacevi
- Acknowledgementsvii
- General notationix
- Chapter 1. Introduction1
- 1.1 The causes and effects of structural vibration2
- 1.2 The reduction of structural vibration2
- 1.3 The analysis of structural vibration4
- 1.4 Outline of the text9
- Chapter 2. The vibration of structures with one degree of freedom10
- 2.1 Free undamped vibration11
- 2.2 Free damped vibration31
- 2.3 Forced vibration47
- Chapter 3. The vibration of structures with more than one degree of freedom83
- 3.1 The vibration of structures with two degrees of freedom84
- 3.2 The vibration of structures with more than two degrees of freedom98
- 3.3 Modal analysis techniques125
- Chapter 4. The vibration of continuous structures129
- 4.1 Longitudinal vibration of a thin uniform beam129
- 4.2 Transverse vibration of a thin uniform beam133
- 4.3 The analysis of continuous structures by Rayleigh's energy method144
- 4.4 Transverse vibration of thin uniform plates148
- 4.5 The finite element method152
- 4.6 The vibration of beams fabricated from more than one material153
- Chapter 5. Damping in structures157
- 5.1 Sources of vibration excitation and isolation157
- 5.2 Vibration isolation158
- 5.3 Structural vibration limits159
- 5.4 Structural damage163
- 5.5 Effects of damping on vibration response of structures164
- 5.6 The measurement of structural damping164
- 5.7 Sources of damping171
- 5.8 Active damping systems198
- 5.9 Energy dissipation in non-linear structures199
- Chapter 6. Problems205
- 6.1 The vibration of structures with one degree of freedom205
- 6.2 The vibration of structures with more than one degree of freedom213
- 6.3 The vibration of continuous structures225
- 6.4 Damping in structures227
- Chapter 7. Answers and solutions to selected problems241
- Bibliography271
- Index273
Book details
- Vendor Elsevier S & T
- SKU 9780340645802
- ISBN-13 9780080518053
- Author Beards, C.
- Category Mathematics
- Subject Applied
Do you have questions about this book?
Many structures suffer from unwanted vibrations and, although careful analysis at the design stage can minimise these, the vibration levels of many structures are excessive. In this book the entire range of methods of control, both by damping and by excitation, is described in a single volume.
Clear and concise descriptions are given of the techniques for mathematically modelling real structures so that the equations which describe the motion of such structures can be derived. This approach leads to a comprehensive discussion of the analysis of typical models of vibrating structures excited by a range of periodic and random inputs. Careful consideration is also given to the sources of excitation, both internal and external, and the effects of isolation and transmissability. A major part of the book is devoted to damping of structures and many sources of damping are considered, as are the ways of changing damping using both active and passive methods. The numerous worked examples liberally distributed throughout the text, amplify and clarify the theoretical analysis presented. Particular attention is paid to the meaning and interpretation of results, further enhancing the scope and applications of analysis. Over 80 problems are included with answers and worked solutions to most. This book provides engineering students, designers and professional engineers with a detailed insight into the principles involved in the analysis and damping of structural vibration while presenting a sound theoretical basis for further study.
Suitable for students of engineering to first degree level and for designers and practising engineers
Numerous worked examples
Clear and easy to follow
Clear and concise descriptions are given of the techniques for mathematically modelling real structures so that the equations which describe the motion of such structures can be derived. This approach leads to a comprehensive discussion of the analysis of typical models of vibrating structures excited by a range of periodic and random inputs. Careful consideration is also given to the sources of excitation, both internal and external, and the effects of isolation and transmissability. A major part of the book is devoted to damping of structures and many sources of damping are considered, as are the ways of changing damping using both active and passive methods. The numerous worked examples liberally distributed throughout the text, amplify and clarify the theoretical analysis presented. Particular attention is paid to the meaning and interpretation of results, further enhancing the scope and applications of analysis. Over 80 problems are included with answers and worked solutions to most. This book provides engineering students, designers and professional engineers with a detailed insight into the principles involved in the analysis and damping of structural vibration while presenting a sound theoretical basis for further study.
Suitable for students of engineering to first degree level and for designers and practising engineers
Numerous worked examples
Clear and easy to follow
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