压电弹性梁主共振响应的时滞加速度反馈控制

发布时间：2018-03-19 12:48

本文选题：压电弹性梁　切入点：主共振　出处：《振动与冲击》2016年24期 　论文类型：期刊论文

【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。
[Abstract]:The damping control of the main resonance response of piezoelectric elastic beam is studied by using the time-delay acceleration feedback control method. Based on the Hamilton principle and the time-delay acceleration closed-loop feedback control strategy, The nonlinear dynamic model of piezoelectric coupled elastic beam is established. The first order approximate solution and stability condition of the main resonance response of the controlled beam are obtained by using the multi-scale method, and the expressions of the response peak value and the critical excitation amplitude are given. An example is given. The results show that the main resonance response is influenced by the periodicity of time-delay, and the control gain and time-delay value can be reasonably selected to avoid the main resonance region and multi-value unstable solutions, and the results show that the main resonance response can be effectively reduced by using the time-delay acceleration feedback control, and the main resonance response is influenced by the time-delay periodic response. Improve vibration control effect.
【作者单位】：湖南科技大学土木工程学院;
【基金】：国家重点基础研究发展计划(973)项目(2015CB057702) 国家自然科学基金项目(11402085;11272119) 湖南省教育厅项目(14C0464) 湖南省优秀博士论文资助项目(YB2015B035)
【分类号】：O328

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