Vibrations and Stability: Advanced Theory, Analysis, and Tools - Hardcover

Thomsen, Jon Juel

Hardcover

ISBN 10: 3030680444 ISBN 13: 9783030680442

Publisher: Springer, 2021

Synopsis

An ideal text for students that 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 the 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. Explaining 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. This edition includes a new chapter on the useful effects of fast vibrations and many new exercise problems.

About this title

About the Author

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 scienti­fic 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.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2021
• Language: English
• ISBN 10: 3030680444
• ISBN 13: 9783030680442
• Binding: Hardcover
• Edition number: 3
• Number of pages: 550