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

Shuai Li, Jilei Zhou, Chuanbo Ren, Sujuan Shao

Research output: Journal article publicationJournal articleAcademic researchpeer-review

9 Citations (Scopus)


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 timedelay 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.

Original languageEnglish
Pages (from-to)99-108
Number of pages10
JournalLixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
Issue number1
Publication statusPublished - 18 Jan 2018
Externally publishedYes


  • Precise integration method
  • Random excitation control
  • The time delay dynamic vibration absorber
  • Time-varying optimization
  • Time-varying parameter vibration control

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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