DYNAMICS OF A NONHARMONICALLY FORCED IMPACT OSCILLATOR

NCUIR > Engineering College > Graduate Institute of Mechanical Engineering > journal & Dissertation > Item 987654321/27137

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27137

Title:	DYNAMICS OF A NONHARMONICALLY FORCED IMPACT OSCILLATOR
Authors:	TUNG,PC
Contributors:	機械工程學系
Keywords:	HARMONICALLY EXCITED SYSTEM;RIGID AMPLITUDE CONSTRAINTS;BIFURCATIONS;MOTIONS
Date:	1992
Issue Date:	2010-06-29 18:08:42 (UTC+8)
Publisher:	中央大學
Abstract:	We consider the dynamic response of a single-degree-of-freedom system subjected to nonharmonic excitation. The model consists of a mass attached to a linear spring and a linear viscous dashpot impacting a rigid obstruction with a coefficient of velocity restitution. The amplitude and stability of the periodic responses are determined and bifurcation analysis for these motions is carried out by using the piecewise linear feature. Period-doubling bifurcations, tangent bifurcation, and crisis occur in our model. Some parameter regions which contain no simple stable periodic motions are shown to possess chaotic motions. Lyapunov exponents are computed over a range of forcing periods. Discrete mapping is used to calculate the Lyapunov exponents for the piecewise linear system due to the fact that the discontinuity occurs at impact with the stop.
Relation:	JSME INTERNATIONAL JOURNAL SERIES III-VIBRATION CONTROL ENGINEERING ENGINEERING FOR INDUSTRY
Appears in Collections:	[Graduate Institute of Mechanical Engineering] journal & Dissertation

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