Titlebook: Vibro-Impact Dynamics; Modeling, Mapping an Raouf A. Ibrahim Book 2009 Springer-Verlag Berlin Heidelberg 2009 Mechanical Systems.Vibro-Impa

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,Mapping of Grazing and C–Bifurcations,f an oscillating mass reaching a barrier at zero velocity separates two regimes of motion, namely, non-impact and impact oscillations. The bifurcation associated with zero velocity just at the barrier is referred to as grazing bifurcation. Of particular interest of grazing impact bifurcation is its

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,Single–Degree–of–Freedom Systems,ainst one– or two–sided barriers. One freedom systems in the form of mass–spring–dashpot with one–sided barrier have been extensively studied in the literature. Other systems such as a ball bouncing on an oscillating table, a simple pendulum with one– or two–sided barriers, and ship roll dynamics in

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,Two– and Multi–Degree–of–Freedom Systems, and two barriers. Of particular interest of these systems is the prediction of bifurcation and chaos manifested by the occurrence of period–doubling and saddle–node bifurcations. These systems are mainly used as vibro–impact vibration absorbers, spherical pendulums, and coupled pendulums. In the pr

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,Stochastic Vibro–Impact Dynamics,trong nonlinearity. The theory of nonlinear random vibration encompasses analytical techniques that can handle developed for weakly nonlinear systems. Thus it is imperative to recast the vibro–impact system into a form amenable for the traditional analytical techniques. A nice overview of vibro–impa

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Impact Dampers,orbing source of undesirable vibration of structures, machines, and multi–storey buildings have been introduced over the last fifty years. This chapter provides an overview of the basic concept of impact dampers and their applications. Analogue computer, numerical simulations, and analytical techniq