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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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Book 2009ree main categories: modeling, mapping and applications. The main techniques used in modeling of vibro-impact systems such as phenomenological modelings, Hertzian models, and non-smooth coordinate transformations developed by Zhuravlev and Ivanov are outlined. One of the most critical situations imp
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,Mapping of Grazing and C–Bifurcations,xed point or a periodic orbit may cross or collide one of the boundaries and this type is referred to as border-collision or C-bifurcation. This bifurcation was originally analyzed by Feigin ([313], [314], [315]).
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,Non–Classical Lumped Systems,Some nonlinear two–dimensional models of vocal folds will be discussed. This chapter is closed by a brief review of other applications including cutting tools and machines, gear rattling, and multi–body systems.
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Continuous Systems,al relays, etc. The failure problem of these systems owes its origin to impact stresses. This chapter addresses the vibro–impact dynamics in strings, beams, constrained pipes conveying fluid, nuclear reactors and heat exchangers, plates, and slamming waves on elastic structures.
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1613-7736 sts, physicists, and mathematicians. These studies may be classified into three main categories: modeling, mapping and applications. The main techniques used in modeling of vibro-impact systems such as phenomenological modelings, Hertzian models, and non-smooth coordinate transformations developed b
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Introduction,tions due to the combined effects of friction, impact and weight. The motion of this toy is greatly influenced by simultaneous impacts, which cause discontinuous bifurcations ([836], [364], [837], [838], [579], [581], [365], [578]). The dynamics of the woodpecker toy can be analyzed with a one-dimensional Poincaré map.
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,Two– and Multi–Degree–of–Freedom Systems,esence of weak nonlinearities these systems can experience internal resonance conditions, and possibly parametric resonance when subjected to parametric excitation. Vibro–impact systems have also been used as passive vibration control such as vibro–impact dampers, which will be addressed in Chapter 8.
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Impact Dampers,ues were employed to uncover their effectiveness in suppressing unwanted vibrations under deterministic and random excitations. Design considerations of impact dampers are assessed together with active and semi–active control techniques.
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