Bifurcations and chaos in a forced linear oscillator with impacts

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Abstract

The dynamic response of a single-degree-of-freedom system having two-sided amplitude constraints is considered. The model consists of a piecewise-linear oscillator subjected to nonharmonic excitation, from which periodic and chaotic motions are observed. The amplitude and stability of the periodic responses are determined, and bifurcation analysis for these motions is carried out. Chaotic motions, in the form of strange attractors for the Poincare map, are found to exist over ranges of forcing periods. The existence of Smale horseshoes has been determined in one such case by showing that the stable and unstable manifolds of a saddle type periodic motion intersect transversally.

Original languageEnglish
Pages (from-to)327-333
Number of pages7
JournalJournal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao
Volume13
Issue number4
StatePublished - Aug 1992

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