铰支柔性梁主参数共振的时滞反馈控制  

TIME-DELAYED FEEDBACK CONTROL OF A HINGED-HINGED FLEXIBLE BEAMUNDER PARAMETRIC EXCITATION

作　　者：彭剑[1] 张改[1] 李禄欣 

机构地区：[1]湖南科技大学土木工程学院,湘潭411201

出　　处：《动力学与控制学报》2016年第4期354-357,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金(11402085);湖南省教育厅资助项目(14C0464);湖南省优秀博士论文资助项目(YB2015B035)~~

摘　　要：研究了时滞反馈控制作用下铰支柔性梁主参数共振问题.采用多尺度法,从理论上推导了时滞位移反馈控制作用下铰支柔性梁非线性主参数共振,分析了时滞、反馈控制增益,非线性系数等系统参数对系统非线性主参数振动的影响,分析了主参数动力响应随参数变化的规律.结果表明: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.The time-delayed feedback control of a hinged-hinged flexible beam under parametric excitation are investigated in this paper. Based on multiple scales method,the nonlinear principal parametric resonance of a hinged-hinged flexible beam with time-delayed state feedback are obtained. The influences of the time delay,the feedback control gain and the nonlinear coefficient on the nonlinear main parametric vibration response of the system are investigated. Moreover,the variation of the main parametric response with the control system parameters is obtained. The results show that with the increase with the feedback gain,the system response amplitude is significantly suppressed. Therefore,through selecting appropriate control system parameters,the efficiency of vibration control can be improved.

关 键 词：时滞反馈 主参数共振 柔性梁 振动控制 稳定性 

分 类 号：O327[理学—一般力学与力学基础]