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Chaotic Mechanics in Systems with Impacts and Friction cover

This book is devoted to the theory of chaotic oscillations in mechanical systems. Detailed descriptions of the basic types of nonlinearity — impacts and dry friction — are presented. The properties of such behavior are discussed, and the numerical and experimental results obtained by the authors are presented.

The dynamic properties of systems described here can be useful in the proper design and use of mechanics where such behavior still creates problems.

This book will be very useful for anyone with a fundamental knowledge of nonlinear mechanics who is beginning research in the field.


Contents:
  • Chaotic Phenomena in Applied Mechanics:
    • Nonlinearities in Mechanical Systems
    • Properties of a Dry Friction Force
    • Chaos in Systems with Dry Friction
    • Basic Theory of Impact
    • Coefficient of Restitution
    • Chaos in Impact Oscillator
  • Impact Oscillator with Dry Friction:
    • Experimental Observation of Intermittency
    • Dynamics of Impact Oscillator with Dry Friction
    • An Investigation of the Dynamic System with Impacts
  • Systems with Impacts:
    • Some Aspects of the Dynamical Behavior of the Impact Force Generator
    • Operation of the Multifender Generator
  • Systems with Friction:
    • Chaotic Behavior of Friction Force
    • Complex Behavior of a Quasiperiodically Forced Experimental System with Dry Friction

Readership: Researchers in mechanical engineering and chaos/dynamical systems.