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World Scientific Publishing Company, 2010. - 238 pages.This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of truly nonlinear (TNL) oscillator equations. The volume gives a general overview of the author's work on harmonic balance, iteration and combined linearization-averaging methods. However, full discussions are also presented on parameter expansion procedures and a first-order averaging technique for TNL oscillators. The calculational basis of each method is clarified by applying them to a set of standard TNL oscillator equations. This allows a direct comparison to be made among the various methods. The book is self-contained and therefore suitable for both classroom use and self-study by students and professionals who desire to learn, understand, and apply these technique to the field of nonlinear oscillations.
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Cengage Learning, 2008. - 736 pages.
Featuring outstanding coverage of linear and non-linear single degree-of-freedom and multi-degree-of-freedom systems, this book teaches the use of vibration principles in a broad spectrum of applications. In this introduction for undergraduate students, authors Balakumar Balachandran and Edward B. Magrab present vibration principles in a...
CRC Press, Taylor & Francis Group, 2006, 727 Pages, ISBN: 0849334209
A resource on vibration that imparts a deep physical as well as mathematical understanding is critical to students who first encounter the subject. Books with an overly mathematical focus can leave them without a grasp of the underlying physics and mechanics. Those that attempt to be reader-friendly often...
N.-Y.: Taylor&Francis, 2005. — 1872 p.
Every so often, a reference book appears that stands apart from all others, destined to become the definitive work in its field. The Vibration and Shock Handbook is just such a reference. From its ambitious scope to its impressive list of contributors, this handbook delivers all of the techniques, tools, instrumentation, and data needed to...
New Age Publications, 2007. - 236 pages.
Vibration Analysis is an exciting and challenging field and is a multidisciplinary subject. This
book is designed and organized around the concepts of Vibration Analysis of Mechanical Systems
as they have been developed for senior undergraduate course or graduate course for engineering students of all disciplines.
This book includes...
InTech, 2011. 456 p. — ISBN:9789533072098.
Vibrations are extremely important in all areas of human activities, for all sciences, technologies and industrial applications. Sometimes these Vibrations are useful but other times they are undesirable. In any case, understanding and analysis of vibrations are crucial. This book reports on the state of the art research and...
KLUWER ACADEMIC PUBLISHERS, NEW YORK, 2005, 457 pp.
1 Matrix Analysis 1
2 Vibrations of Discrete Systems 19
3 Jacobi Matrices 49
4 Inverse Problems for Jacobi Systems 63
5 Inverse Problems for Some More General Systems 93
6 Positivity 118
7 Isospectral Systems 153
8 The Discrete Vibrating Beam 185
9 Discrete Modes and Nodes 202
10 Green’s Functions and...