Overview
- 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
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (7 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Vibrations and Stability
Book Subtitle: Advanced Theory, Analysis, and Tools
Authors: Jon Juel Thomsen
DOI: https://doi.org/10.1007/978-3-030-68045-9
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-68044-2Published: 19 March 2021
Softcover ISBN: 978-3-030-68047-3Published: 19 March 2022
eBook ISBN: 978-3-030-68045-9Published: 18 March 2021
Edition Number: 3
Number of Pages: XXI, 529
Number of Illustrations: 209 b/w illustrations
Topics: Mechanical Engineering, Civil Engineering, Solid Mechanics, Complex Systems, Applications of Mathematics, Dynamical Systems and Ergodic Theory