时滞位移反馈作用下压电耦合梁非线性受迫振动  

Nonlinear forced vibration of piezoelectric coupling beams with time-delayed state feedback

作　　者：彭剑[1] 张改[1] 谢献忠[1] 

机构地区：[1]湖南科技大学土木工程学院,湘潭411201

出　　处：《应用力学学报》2016年第5期898-903,942,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(11402085;11272119);湖南省教育厅资助项目(14C0464;12A052)

摘　　要：采用非线性动力学中的直接法,从理论上推导了时滞位移反馈控制作用下压电耦合梁非线性受迫主共振、亚谐波共振响应一阶近似解,研究了时滞、反馈控制增益、激励幅值等系统参数对系统非线性受迫振动的影响,分析了主共振、亚谐波共振动力响应随参数变化的规律。结果表明:主共振响应幅值随时滞量呈周期性变化;随着反馈增益的增大,系统响应幅值得到明显抑制,合理地控制系统参数选取可提高振动控制的效率。Based on direct treatment of nonlinear dynamics, the first-order approximate response of the nonlinear forced primary resonance and subharmonic resonance response of a piezoelectric coupling elastic beam with time-delayed state feedback are obtained. The influences of the time delay, the feedback control gain and the excitation amplitude on the system forced vibration response are investigated. And the variation of the primary resonance and subharmonic resonance response with the control system parameters is obtained. The results show that the amplitude of the primary resonance response with time delay varies periodically. Increasing with the feedback gain, the system response amplitude is significantly suppressed, therefore selecting appropriate control system parameters, the efficiency of vibration control can be improved.

关 键 词：时滞位移反馈 主共振 亚谐共振 压电梁 稳定性 

分 类 号：O328[理学—一般力学与力学基础] TB123[理学—力学]