压电弹性梁主共振响应的时滞加速度反馈控制

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摘要应用时滞加速度反馈控制方法研究压电弹性梁主共振响应的减振控制。基于Hamilton原理和时滞加速度闭环反馈控制策略，建立了压电耦合弹性梁的非线性动力学模型。采用多尺度方法，得到了受控梁主共振响应的一阶近似解及稳定性条件，进而给出了响应峰值和临界激励幅值的表达式，并给出算例分析。结果表明：采用时滞加速度反馈控制可以有效减振，其主共振响应受时滞值周期性影响，合理选取控制增益和时滞值，可以避免主共振区及多值不稳定解，提高振动控制效果。

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	彭剑
	张改
	胡霞
	谢献忠

关键词 ：压电弹性梁, 主共振, 时滞加速度反馈, 振动控制, 稳定性

Abstract：The time-delayed acceleration feedback control method is applied to study the primary resonance response of vibration control of piezoelectric flexible beam. Based on the Hamilton principle and a closed-loop feedback control strategy with delay acceleration, the piezoelectric coupling nonlinear dynamic model of the elastic beam are established. Utilizing the multiple scale method, the first-order approximate solution and the stability condition of the primary resonance response of controlled beam are obtained. And the peak amplitude and the critical excitation amplitude are given. It is shown that using time-delayed acceleration feedback control can effective vibration reduction, the primary resonance response is affected by the delay value periodically. Reasonable selection of control gain and time delay value can avoid the resonance region and multiple values are not stable solution, and improve the effect of vibration control.

Key words： piezoelectric elastic beam primary resonance time-delayed acceleration feedback vibration control stability

收稿日期: 2015-11-26 出版日期: 2016-12-15

引用本文:

彭剑，张改，胡霞，谢献忠. 压电弹性梁主共振响应的时滞加速度反馈控制[J]. 振动与冲击, 2016, 35(24): 1-5.
PENG Jian, ZHANG Gai, HU Xia, XIE Xian-zhong. Time-delayed acceleration feedback control of primary resonance of piezoelectric elastic beams. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(24): 1-5.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I24/1

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