Vibro-impact Dynamics

Albert C. J. Luo, Yu Guo

• Publisher: Wiley
• Year: 2013
• Print ISBN: 9781118359457
• eBook ISBN: 9781118402900
• Edition: 1
• Topic: Physical Sciences
• Subtopic: Mechanics

Presents a systematic view of vibro-impact dynamics based on the nonlinear dynamics analysis

Comprehensive understanding of any vibro-impact system is critically impeded by the lack of analytical tools viable for properly characterizing grazing bifurcation. The authors establish vibro-impact dynamics as a subset of the theory of discontinuous systems, thus enabling all vibro-impact systems to be explored and characterized for applications. 

Vibro-impact Dynamics presents an original theoretical way of analyzing the behavior of vibro-impact dynamics that can be extended to discontinuous dynamics. All topics are logically integrated to allow for vibro-impact dynamics, the central theme, to be presented. It provides a unified treatment on the topic with a sound theoretical base that is applicable to both continuous and discrete systems

Vibro-impact Dynamics:

• Presents mapping dynamics to determine bifurcation and chaos in vibro-impact systems
• Offers two simple vibro-impact systems with comprehensive physical interpretation of complex motions
• Uses the theory for discontinuous dynamical systems on time-varying domains, to investigate the Fermi-oscillator

Essential reading for graduate students, university professors, researchers and scientists in mechanical engineering.

Table of contents

• Cover
• Title Page
• Copyright
• Frontispiece
• Preface
• Chapter 1: Introduction
• Chapter 2: Nonlinear Discrete Systems
• Chapter 3: Complete Dynamics and Fractality
• Chapter 4: Discontinuous Dynamical Systems
• Chapter 5: Nonlinear Dynamics of Bouncing Balls
• Chapter 6: Complex Dynamics of Impact Pairs
• Chapter 7: Nonlinear Dynamics of Fermi Oscillators
• References
• Index