Multi-degree of Freedom Systems

Abstract

This chapter considers the problem of vibro�impact dynamics of lumpedsystems represented by two and more degrees of freedom in the presenceof single and two barriers. Of particular interest of these systemsis the prediction of bifurcation and chaos manifested by the occurrenceof period�doubling and saddle�node bifurcations. These systems aremainly used as vibro�impact vibration absorbers, spherical pendulums,and coupled pendulums. In the presence of weak nonlinearities thesesystems can experience internal resonance conditions, and possiblyparametric resonance when subjected to parametric excitation. Vibro�impactsystems have also been used as passive vibration control such asvibro�impact dampers, which will be addressed in Chapter 8.