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Vibrations and Stability

Advanced Theory, Analysis, and Tools

  • Textbook
  • © 2003

Overview

Authors:
  1. Jon Juel Thomsen

    1. Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Lyngby, Denmark

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  • Complex systems made simple
  • Includes supplementary material: sn.pub/extras

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XXI
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  2. Vibration Basics

    • Jon Juel Thomsen
    Pages 1-25

  3. Eigenvalue Problems of Vibrations And Stability

    • Jon Juel Thomsen
    Pages 27-64

  4. Nonlinear Vibrations: Classical Local Theory

    • Jon Juel Thomsen
    Pages 65-136

  5. Nonlinear Multiple-DOF Systems: Local Analysis

    • Jon Juel Thomsen
    Pages 137-188

  6. Bifurcations

    • Jon Juel Thomsen
    Pages 189-224

  7. Chaotic Vibrations

    • Jon Juel Thomsen
    Pages 225-286

  8. Special Effects of High-Frequency Excitation

    • Jon Juel Thomsen
    Pages 287-337

  9. Back Matter

    Pages 339-404
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Keywords

About this book

'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.

Reviews

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)

Authors and Affiliations

  • Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Lyngby, Denmark

    Jon Juel Thomsen

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