时滞反馈控制扭转振动系统的振动

摘要

We investigate the delayed feedback control to suppress the vibration in a torsional vibrating system.The delayed feedback control is applied to a torsional vibrating system with a nonlinear dynamical absorber.We investigate the effects of gain and delay on vibration suppression of the primary system.The results show that for a fixed gain,the vibration of the primary system can be suppressed at some values of the delay.As the delay varies for a fixed gain,the amplitude of the primary system can be suppressed to aminimum value.The vibration of the primary system is suppressed form 0.24 to 0.03 when the gain and the delay are chosen to be appropriate values.The analytical solutions are consistent well with the numerical simulation.%研究了采用时滞反馈来控制扭转振动系统的振动问题.在一个带有非线性动力吸振器的扭转振动系统中,采用时滞反馈来控制主系统的振动.研究了反馈增益系数和时滞对主系统振动的影响.研究结果表明,对某一固定的反馈增益系数,存在时滞的某段调节区间,可以通过调节时滞来抑制主系统的振动.在时滞的调节区间内存在一个最佳点,主系统的振动被抑制到最小值.可以同时调节反馈增益系数和时滞两参数,当反馈增益系数和时滞都调节到最佳值时,主系统振动的振幅由0.24减小到0.03,取得了很好的减振效果.