Introduction to Experimental Nonlinear Dynamics

List 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.

Summary

An extended case study - an experiment in mechanical vibration - introduces the subject of nonlinear dynamics. Beginning with 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.

Product details

• Authors: Lawrence N. Virgin
• Publisher: Cambridge University Press
• Languages: English
• Product format: Hardback
• Released: 31.12.2015
• EAN: 9780521662864
• ISBN: 978-0-521-66286-4
• No. of pages: 274
• Dimensions: 161 mm x 240 mm x 19 mm
• Weight: 578 g
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; Non-fiction book > Dictionaries, reference works > Miscellaneous