Vibration of Strongly Nonlinear Discontinuous Systems by V.I. Babitsky, V.L. Krupenin.

Among the wide variety of nonlinear mechanical systems, it is possible to distinguish a representative class, which may be characterised by the presence of threshold nonlinear positional forces. Such discontinuous systems demonstrate a sudden and essential change in the behaviour of elastic and diss...

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Bibliographic Details
Main Authors: Babitsky, V.I (Author), Krupenin, V.L (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
Edition:1st ed. 2001.
Series:Foundations of Engineering Mechanics,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Operators of Linear Systems
  • §1. Dynamic Compliance
  • §2. Periodic Green Functions
  • §3 Parametric Periodic Green Functions
  • 2 Strongly Nonlinear Single-Degree-of Freedom Systems
  • §4 Conservative Systems
  • §5 Forced Vibration
  • §6 Vibration in Autonomous Systems
  • §7 Parametric Vibration
  • §8 Random Vibration
  • 3 Multiple-Degree-of-Freedom Systems
  • §9 Forced Vibration in Multiple-Degree-of-Freedom Systems
  • §10 Parametric Vibration in the Multiple-Degree-of-Freedom Systems
  • Additional Bibliography
  • Appendix I The Averaging Method in Systems with Impacts
  • Appendix II On the Analysis of Resonant Vibration of Vibro-impact Systems Using the Averaging Technique
  • Appendix III Structure-borne Vibroimpact Resonances and Periodic Green Functions
  • Appendix IV Nonlinear Correction of a Vibration Protection System Containing Tuned Dynamic Absorber.