VIBRATIONS SECOND EDITION by Balakumar Balachandran | Edward B. Magrab

VIBRATIONS SECOND EDITION by Balakumar Balachandran | Edward B. Magrab

Contents:

1 Introduction

2 Modeling of Vibratory Systems

3 Single Degree-Of-Freedom Systems: Governing Equations

4 Single Degree-of-Freedom System: Free-Response Characteristics

5 Single Degree-of-Freedom Systems Subjected to Periodic Excitations

6 Single Degree-of-Freedom Systems Subjected toTransient Excitations

7 Multiple Degree-of-Freedom Systems: Governing Equations, Natural Frequencies, and Mode Shapes

8 Multiple Degree-of-Freedom Systems: General Solution for Response and Forced Oscillations

9 Vibrations of Beams

Preface:

Vibration is a classical subject whose principles have been known and stud ied for many centuries and presented in many books. Over the years, the use of these principles to understand and design systems has seen considerable growth in the diversity of systems that are designed with vibrations in mind: mechanical, aerospace, electromechanical and microelectromechanical de vices and systems, biomechanical and biomedical systems, ships and submarines, and civil structures. As the performance envelope of an engineered system is pushed to higher limits, nonlinear effects also have to be taken into account. This book has been written to enable the use of vibration principles in a broad spectrum of applications and to meet the wide range of challenges faced by system analysts and designers. To this end, the authors have the fol lowing goals: a) to provide an introduction to the subject of vibrations for undergraduate students in engineering and the physical sciences, b) to present vibration principles in a general context and to illustrate the use of these principles through carefully chosen examples from different disciplines, c) to use a balanced approach that integrates principles of linear and nonlinear vibrations with modeling, analysis, prediction, and measurement so that physical understanding of the vibratory phenomena and their relevance for engineering design can be emphasized, and d) to deduce design guidelines that are applicable to a wide range of vibratory systems. In writing this book, the authors have used the following guidelines. The material presented should have, to the extent possible, a physical relevance to justify its introduction and development. The examples should be relevant and wide ranging, and they should be drawn from different areas, such as bio mechanics, electronic circuit boards and components, machines, machining (cutting) processes, micro electromechanical devices, and structures. There should be a natural integration and progression between linear and nonlinear systems, between the time domain and the frequency domain, among the responses of systems to harmonic and transient excitations, and between discrete and continuous system models. There should be a minimum emphasis

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