Nonlinear vibration of double-loop bilinear hysteretic system

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Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (11) : 1-3.

论文

Nonlinear vibration of double-loop bilinear hysteretic system

Wu Zhi-qiang; Hao Ying; Guo Kai

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Abstract

Nonlinear vibrations of a single-degree-freedom system involving hysteresis with two loops are investigated. Firstly the frequency response equation is derived for system under primary resonance by applying the averaging method. Secondly the effects of the excitation amplitude are studied. It is found that there are four types of frequency response for different levels of the excitation. It is also revealed and verified by numerical simulation that only one type is suitable for vibration reduction design.