Vibro-Impact Dynamics

Description

Presents a systematic view of vibro-impact dynamics based on the nonlinear dynamics analysisComprehensive 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 systemsVibro-impact Dynamics:Presents mapping dynamics to determine bifurcation and chaos in vibro-impact systemsOffers two simple vibro-impact systems with comprehensive physical interpretation of complex motionsUses 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.Content: Chapter 1 Introduction (pages 1–10): Chapter 2 Nonlinear Discrete Systems (pages 11–46): Chapter 3 Complete Dynamics and Fractality (pages 47–83): Chapter 4 Discontinuous Dynamical Systems (pages 85–129): Chapter 5 Nonlinear Dynamics of Bouncing Balls (pages 131–164): Chapter 6 Complex Dynamics of Impact Pairs (pages 165–202): Chapter 7 Nonlinear Dynamics of Fermi Oscillators (pages 203–252):