The timedelayed feedback control of a hingedhinged flexible beam under parametric excitation are investigated in this paper. Based on multiple scales method, the nonlinear principal parametric resonance of a hingedhinged flexible beam with timedelayed 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.
彭剑,张改,李禄欣.铰支柔性梁主参数共振的时滞反馈控制[J].动力学与控制学报,2016,14(4):354~357; Peng Jian, Zhang Gai, Li Luxin. Time-delayed feedback control of a hinged-hinged flexible beam under parametric excitation[J]. Journal of Dynamics and Control,2016,14(4):354-357.