Vibrations and Stability

Advanced Theory, Analysis, and Tools

Authors: Thomsen, Jon Juel

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  • Ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner
  • 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
  • Progresses steadily from linear vibration theory over various levels of nonlinearity to bifurcation analysis, global dynamics and chaotic vibrations
  • Trains the student to analyze simple models, recognize nonlinear phenomena and work with advanced tools such as perturbation analysis and bifurcation analysis
  • Explains 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 variety of new subsections
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eBook $109.00
price for USA in USD
  • ISBN 978-3-030-68045-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-030-68044-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this Textbook

This book ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner. It is intended for advanced students, university teachers, and researchers in mechanical/structural engineering dynamics, and professional engineers aiming at strengthening their theoretical foundation. Assuming background knowledge in elementary vibrations, it provides a set of useful tools for understanding and analyzing the more complex dynamical phenomena that can be met in engineering and scientific practice. Summarizing first basic linear vibration theory, it progresses over various types of nonlinearity and nonlinear interaction to bifurcation analysis, chaotic vibrations, and special high-frequency effects. It trains the student to analyze simple models, recognize nonlinear phenomena, and work with advanced tools such as perturbation analysis and bifurcation analysis. Focusing attention on a limited number of simple, generic models, the book covers the qualitative behavior of a wide variety of mechanical/structural systems; the key examples dealt with can be fabricated as simple physical models for classroom demonstrations. Explaining theory in terms of relevant examples from real systems, this book is user-friendly and meets the increasing interest in, and significance of, nonlinear dynamics in mechanical/structural engineering. This 3rd edition adds many new topics, sections, figures, exercise problems, literature references, and other updates; it is backed up by a separately available booklet with worked out solutions to exercise problems.

About the authors

PhD (1988) and dr.techn. (2003) in mechanical vibrations and dynamics; associate professor at the Technical University of Denmark, Dept. of Mechanical Engineering. Author of 100+ peer reviewed scientiĀ­fic publications, covering many aspects of theoretical and experimental vibration analysis, in particular nonlinear effects and analysis. 30+ years of university teaching in advanced and basic vibration theory, dynamics, computer modeling, and experimental mechanics. Fundamental and applied research with a special focus on the description, analysis and synthesis of nonlinear phenomena, e.g. vibration suppression using nonlinearity, object transport using vibrations, non-trivial effects of high-frequency excitation, deterministic chaos, wave propagation in periodic media, discontinuous processes (e.g. vibro-impact, friction, clearance), fluid flow affected vibrations, vibration analysis for non-destructive testing and structural health monitoring, and nonlinear modal interaction; see more on www.staff.dtu.dk/jjth.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-030-68045-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-030-68044-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Vibrations and Stability
Book Subtitle
Advanced Theory, Analysis, and Tools
Authors
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-68045-9
DOI
10.1007/978-3-030-68045-9
Hardcover ISBN
978-3-030-68044-2
Edition Number
3
Number of Pages
XXI, 529
Number of Illustrations
209 b/w illustrations
Topics