双线性双滞后环系统非线性振动

吴志强;郝 颖;郭 凯

振动与冲击 ›› 2011, Vol. 30 ›› Issue (11) : 1-3.

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振动与冲击 ›› 2011, Vol. 30 ›› Issue (11) : 1-3.
论文

双线性双滞后环系统非线性振动

  • 吴志强; 郝 颖; 郭 凯
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Nonlinear vibration of double-loop bilinear hysteretic system

  • Wu Zhi-qiang; Hao Ying; Guo Kai
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文章历史 +

摘要

研究含双线性双环滞后单自由度系统非线性振动的响应特点。先用平均法得到主共振情况下系统的幅频响应方程。然后讨论了外激励振幅变化对幅频响应的影响。给出了模式变化的临界参数条件,找到了四种不同类型的幅频响应并分析了其特点。在四种响应中,只有一种能充分发挥滞后环的耗能作用,适于减振设计。

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.

关键词

双线性双环滞后 / 幅频响应 / 减振

Key words

double-loop bilinear hysteresis / frequency-response / vibration reduction

引用本文

导出引用
吴志强;郝 颖;郭 凯. 双线性双滞后环系统非线性振动[J]. 振动与冲击, 2011, 30(11): 1-3
Wu Zhi-qiang;Hao Ying;Guo Kai. Nonlinear vibration of double-loop bilinear hysteretic system[J]. Journal of Vibration and Shock, 2011, 30(11): 1-3

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