Chinese Journal of Theoretical and Applied Mechanics ›› 2018, Vol. 50 ›› Issue (1): 99-108.DOI: 10.6052/0459-1879-17-207

• 动力学与控制 • Previous Articles     Next Articles

The research of time delay vibration control with time - varying parameters

Li Shuai, Zhou Jilei, Ren Chuanbo*, Shao Sujuan   

  1. School of Traffic and Vehicle Engineering, Shandong University of Technology, Zibo 255000, China
  • Received:2017-05-31 Accepted:2017-11-16 Online:2018-02-20 Published:2018-03-09
  • Contact: Ren Chuanbo


The time delay dynamic vibration absorber has good vibration control effect on harmonic excitation, but it has no obvious vibration control effect on the random excitation, which is shown that the vibration control effect of the time-delay dynamic absorber is almost the same as that of the passive vibration absorber. In view of the above problems, this paper proposed a new method of time varying time delay parameter vibration control. On the basis of the original time delay vibration control method, firstly, the time delay gain is changed from fixed value form to time function form, then, the time-varying time delay control parameters are obtained by time varying optimization, and they are applied to the vibration control process in a certain time cycle. By this method, the vibration control performance of the time-delay dynamic absorber is further improved. Finally, this paper takes the Two-degree-of-freedom damping system with time-delay feedback control as the target system, the vibration response of the primary system as the simulation object, using the Precise integration method to solve the dynamic equations with time varying time delay parameters, and obtained the time domain simulation results of the vibration of the primary system under influence of harmonic excitation and random excitation respectively. The results show that, compared with the fixed parameter time delay dynamic vibration absorber , when the primary system under the control of time-varying parameters time delay vibration absorber, its vibration displacement, vibration speed and vibration acceleration are all greatly reduced, whether it is subjected to harmonic excitation or random excitation. The vibration control performance of the time-delay dynamic absorber has been greatly improved.

Key words: The time delay dynamic vibration absorber, Time-varying optimization, Time-varying parameter vibration control, Precise integration method, Random excitation control

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