Vibrations and Stability
Advanced Theory, Analysis, and Tools
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Beschreibung
This book ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner. It provides students with a background in elementary vibrations, with tools necessary for understanding and analyzing more complex dynamical phenomena that can be encountered in engineering and scientific practice. It progresses steadily from linear vibration theory over various levels of nonlinearity to bifurcation analysis, global dynamics and chaotic vibrations. It trains the student to analyze simple models, recognize nonlinear phenomena and work with advanced tools such as perturbation analysis and bifurcation analysis. Explainig theory in terms of relevant examples from real systems, this book is user- friendly and meets the increasing interest in non-linear dynamics in mechanical/structural engineering and applied mathematics and physics. The new revised and updated edition includes a new chapter on useful effects of fast vibrations and many new exercise problems.
'Vibrations and Stability' is aimed at third to fifth-year undergraduates and post graduates in mechanical or structural engineering. The book covers a range of subjects relevant for a one-or two-semester course in advanced vibrations and stability. Also, it can be used for self-study, e. g. , by students on master or PhD projects, researchers, and professional engineers. The focus is on nonlinear phe nomena and tools, covering the themes of local perturbation analysis (Chaps. 3 and 4), bifurcation analysis (Chap. 5), global analysis I chaos theory (Chap. 6), and special high-frequency effects (Chap. 7). The ground for nonlinear analysis is laid with a brief summary of elementary linear vibration theory (Chap. 1), and a treatment of differential eigenvalue problems in some depth (Chap. 2). Also, there are exercise problems and extensive bibliographic references to serve the needs of both students and more experienced users; major exercises for course-work; and appendices on numerical simulation, standard mathematical formulas, vibration properties of basic structural elements, and properties of engineering materials. This Second Edition is a revised and expanded version of the first edition (pub lished by McGraw-Hill in 1997), reflecting the experience gathered during its now six years in service as a classroom or self-study text for students and researchers. The second edition contains a major new chapter (7), three new appendices, many new exercise problems, more than 120 new and updated bibliographic references, and hundreds of minor updates, corrections, and clarifications.
Complex systems made simple
Lucidly uniting classical and modern topics of advanced vibration analysis, this text provides students with a background in elementary vibrations, especially with tools necessary for understanding and analyzing more complex dynamical phenomena that can be encountered in engineering and scientific practice. It progresses steadily from linear vibration theory over levels of nonlinearity to bifurcation analysis, global dynamics and chaotic vibrations. Readers gain analytical skills with simple models, learn to recognize nonlinear phenomena, and employ advanced tools such as perturbation analysis and bifurcation analysis. Enriching theory with relevant examples from real systems, this book meets the increasing interest in non-linear dynamics in engineering, applied mathematics, and physics. This edition includes a new chapter on the useful effects of fast vibrations and many new exercise problems.
Autor*in
Jon Juel Thomsen
Themen in »Vibrations and Stability«
Bifurcations Chaotic Vibrations Nonlinear Vibrations Simulation Torsion Vibration Vibrations and Stability friction stability
Stimmen zu »Vibrations and Stability«
From the reviews of the second edition:
"Vibrations and stability … attracted a vast amount of attention of a multitude of researchers in the past and present and will remain highly topical in the future. … The 2nd edition of the book, a thoroughly revised and expanded version of the 1st edition, is an essential by-product of this evolution. … In the reviewer’s opinion the author … has written a highly recommendable book. I am very pleased to review the book. … It presents a very readable and well-structured account … ." (Dr C. B. Sharma, Contemporary Physics, Vol. 45 (6), 2004)
"The second edition of ‘Vibrations and Stability’ is an accomplished and valuable book, mainly devoted to vibrations in the non-linear regime. … It is a pleasure to read this clearly written book, which achieves the aim of presenting important material on non-linear vibrations in a useful and quite understandable manner. … relevant references are given for readers interested in more information. … Engineers, researchers, and particularly students and teachers in mechanical and structural engineering will find this to be a very helpful book." (Pedro Ribeiro, Journal of Sound and Vibration, Vol. 274 (4-5), 2004)
"Every chapter is equipped with useful exercises. The reviewed book will be very useful in engineering and scientific practice." (Boris V. Loginov, Zentralblatt MATH, Vol. 1086, 2006)
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