Random Vibrations. Analysis of Structural and Mechanical Systems

✍ Scribed by Loren D. Lutes and Shahram Sarkani (Auth.)

• Publisher: Butterworth Heinemann
• Year: 2004
• Tongue: English
• Leaves: 637
• Category: Library

✦ Synopsis

• The textbook by Lutes and Sarkani is a timely and highly valuable addition to the short list of books on random vibrations (or stochastic dynamics) that have appeared in the past two decades. I stress the word “textbook” rather than “book,” since what they have produced is truly a textbook with numerous instructive examples and end-of-chapter exercises. This is a massive undertaking, with over 600 pages, covering a very broad scope of topics in stochastic dynamics. As the authors suggest, the book can be used for an introductory course on random vibrations and, quite plausibly, for a more advanced course with some additional reading. It can also be used effectively for self study by graduate students and professional engineers who have the requisite mathematical background. Lutes and Sarkani use an informal language that takes away some of the intimidating nature of the random vibrations topic and helps put the reader at ease. While maintaining a high level of rigor, they avoid unnecessary mathematical complexity. Because of these factors, I believe this book is more accessible than most other books on this topic. However, the most valuable aspect of the book, in my view, is the physical insight that the authors provide through their extensive analysis and discussion of formulas and results throughout the book. This aspect is particularly important for beginning students of random vibrations – a topic which by its nature is somewhat abstract and not as easy to interpret as deterministic dynamics. When teaching an advanced topic such as random vibrations, it is often difficult or undesirable to strictly follow a textbook. We all have our own preferences on notation, style of formulation, and the sequence of topics to be covered. However, I have found it highly effective to have a reference textbook, where students can do additional reading and see a different viewpoint from that presented in the class. Among several textbooks that I have used for this purpose, students at Berkeley have been most satisfied with the earlier edition of this textbook. With the implemented improvements and additions, I be-lieve students will benefit even more from this new edition. Hence, I strongly recommend consideration of this textbook for courses on random vibrations. Armen Der Kiureghian University of California, Berkeley
  

✦ Table of Contents

Content:
Preface, Pages xi-xii
Chapter 1 - Introduction, Pages 1-10
Chapter 2 - Fundamentals of Probability and Random Variables, Pages 11-58
Chapter 3 - Expected Values of Random Variables, Pages 59-102
Chapter 4 - Analysis of Stochastic Processes, Pages 103-166
Chapter 5 - Time Domain Linear Vibration Analysis, Pages 167-218
Chapter 6 - Frequency Domain Analysis, Pages 219-260
Chapter 7 - Frequency, Bandwidth, and Amplitude, Pages 261-306
Chapter 8 - Matrix Analysis of Linear Systems, Pages 307-350
Chapter 9 - Direct Stochastic Analysis of Linear Systems, Pages 351-414
Chapter 10 - Introduction to Nonlinear Stochastic Vibration, Pages 415-486
Chapter 11 - Failure Analysis, Pages 487-556
Chapter 12 - Effect of Parameter Uncertainty, Pages 557-612
Appendix A - Dirac Delta Function, Pages 613-615
Appendix B - Fourier Analysis, Pages 617-621
References, Pages 623-631
Author Index, Pages 633-634
Subject Index, Pages 635-638