Delay-controlled nonlinear transition dynamics in a quasi-zero-stiffness vibration isolator

• 作 者: Yang Tao Cao Qingjie
• 机 构: Centre for Nonlinear Dynamics Research,School of Astronautics,Harbin Institute of Technology,Harbin
• 出 处: 第十六届全国非线性振动暨第十三届全国非线性动力学和运动稳定性学术会议
• 发表日期: 2017年10期
• 关键词: stochastic process transition dynamics time delay vibration isolation

　　Based on the quasi-zero stiffness vibration isolation(QZS-VI)system,the nonlinear transition dynamics have been investigated coupled with both time-delayed displacement and velocity feedbacks.Using a delay nonlinear Langevin approach,we discuss a new mechanism for the transition of vibration isolator in which the energy originates from harmonic and noise excitations.For this stochastic process,the effective displacement potential,stationary probability density function and the escape ratio are obtained.We investigate a variety of noise-induced behaviors affecting transitions between system equilibria states.The results indicate that the phenomena of transition,resonant activation and delay enhanced stability may emerge in the QZS-VI system.Moreover,we also show that the time delay,delay feedback intensities,and harmonic excitation play a significant role on the resonant activation and delay enhanced stability phenomena.Finally,a quantitative measure for amplitude response has been carried out to evaluate the isolation performance of the controlled QZS-VI system.The results show that with feedback parameters properly designed,time delay and displacement feedback intensity can play the role of damping force.This research provides instructive ideas to the application of the time-delayed control in practical engineering.