A periodically forced piecewise linear oscillator. (English) Zbl 0561.70022

Shaw, S. W.; Holmes, P. J.

J. Sound Vib. 90, 129-152 (1983).

The authors have studied a periodically forced single degree of freedom nonlinear oscillator. The nonlinearity is in the restoring force and is piecewise linear with a single change in slope. Such oscillators provide models for mechanical systems in which components make intermittent contact with each other. The limiting case where one slope approaches infinity has also been considered. The analysis indicates the existence of harmonic, subharmonic and chaotic motions. The bifurcations leading to them have been analyzed.

Reviewer: K.T.S.Iyengar

MSC:

70K40

Forced motions for nonlinear problems in mechanics

Keywords:

periodically forced single degree of freedom nonlinear oscillator; harmonic, subharmonic and chaotic motions; bifurcations