Introduction to Experimental Nonlinear Dynamics: A Case Study in Mechanical Vibration by Lawrence N. VirginIntroduction to Experimental Nonlinear Dynamics: A Case Study in Mechanical Vibration by Lawrence N. Virgin

Introduction to Experimental Nonlinear Dynamics: A Case Study in Mechanical Vibration

byLawrence N. Virgin

Paperback | March 28, 2000

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Nonlinear behavior can be found in such highly disparate areas as population biology and aircraft wing flutter. For this reason, nonlinear dynamics and chaos have become very active fields of research. This work uses an extended case study--an experiment in mechanical vibration--to introduce and explore the subject of nonlinear behavior and chaos from an engineering perspective. After a review of basic principles, the text then describes a cart-on-a-track oscillator and shows what happens when it is gradually subjected to greater excitation, thereby encountering the full spectrum of nonlinear behavior, from simple free decay to chaos. Advanced undergraduate and graduate students, as well as practicing engineers, will find this book a lively, accessible introduction to the subject.
Title:Introduction to Experimental Nonlinear Dynamics: A Case Study in Mechanical VibrationFormat:PaperbackDimensions:272 pages, 9.21 × 6.14 × 0.71 inPublished:March 28, 2000Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521779316

ISBN - 13:9780521779319

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Table of Contents

Preface; 1. Brief introductory remarks; 2. Background: linear behavior; 3. Some useful concepts; 4. The paradigm; 5. Mathematical description; 6. The experimental model; 7. Free oscillations; 8. Forced response: periodic; 9. Forced response: non-periodic; 10. Escape from a potential energy well; 11. A hardening spring oscillator; 12. The effect of a stiffness discontinuity; 13. Two-frequency excitation; 14. Global issues; Appendix A. A nonlinear electric circuit; Appendix B. A continuous system; References.

From Our Editors

If you think nonlinear behaviour is something that doesn’t affect you, and you travel by air with any frequency, you’re wrong – nonlinear behaviour is vital to aircraft wing flutter. In an Introduction to Experimental Nonlinear Dynamics: A Case Study in Mechanical Vibration, Lawrence N. Virgin examines the latest research from this exciting field of study. Readers will learn the basic principles of nonlinear behaviour and what happens when exposed to full excitation. It includes line diagrams that highlight everything from free decay to chaos.

Editorial Reviews

"This book is highly recommended...clearly written with the novice in mind, and both engineers and physicists will find it worthwhile."
SIAM Review