Vibration Control of Time-Varying Delay under Complex Excitation

• Main Authors: Kaiwei Wu, Chuanbo Ren, Yuanchang Chen, Sujuan Shao, Jilei Zhou, Chicheng Ma, Lin Li
• Format: Article
• Language: English
• Published: MDPI AG 2021-09-01
• Series: Micromachines
• Subjects: time-varying delay; dynamic vibration absorber; stability; hybrid particle swarm optimization algorithm
• Online Access: https://www.mdpi.com/2072-666X/12/9/1081

The existing available research outcomes on vibration attenuation control for time-delay feedback indicate that, for the delay dynamic vibration absorber with fixed time-delay control parameters, under harmonic excitation, a good vibration attenuation control effect occurs on the vibration of the main system. However, the effect is not obvious for complex excitation. Aiming at the above problems, in a short time interval, a harmonic excitation with the same displacement size as the complex excitation was established. Then, by calculating its equivalent amplitude and equivalent frequency, a harmonic equivalent method for complex excitation was proposed in this paper. The time-delay parameters were adjusted according to the equivalent frequency of harmonic equivalent excitation in real time; therefore, a good vibration attenuation control effect was obtained through the delay dynamic vibration absorber in the discrete time interval. In this paper, research on a time-varying delay dynamic vibration absorber was conducted by taking the two-degree-of-freedom vibration system with a delay dynamic vibration absorber as an example. The simulation results show that the proposed control method can reduce the vibration of the main system by about 30% compared with the passive vibration absorber. This can obviously improve the performance of the time-delay dynamic vibration absorber. It provides a new technical idea for the design of vehicle active frame system.