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Parameter design for a vibration absorber with time-delayed feedback control

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Abstract

Traditional passive vibration absorbers are effective only when their natural frequencies are close to those of the excitations. To solve this problem, a vibration absorber with time-delayed feedback control is proposed to suppress vibration of the primary system under excitation with changing frequency. Firstly, the mechanical model of the delay coupled system is established. Then, the displacement transfer ratio of the system is obtained. The stability of the system is analyzed since delay may result in destabilization. Next, in order to design the control parameters, the vibration absorption performances of the proposed time-delayed vibration absorber are studied. The vibration absorption region is shown. The results show that time-delayed feedback control is able to change the response of the system. The effective vibration absorption frequency band is adjustable by tuning the control gain and time delay. The effective frequency band can be widened when choosing appropriate control parameters. The vibration absorption performances can be greatly improved by the time-delayed absorber. In addition, the optimum control parameters are obtained. Finally, the experimental prototype is constructed. Several tests with different control parameters are taken. The experimental and analytical results match quite well.

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Acknowledgements

The work was supported by the National Natural Science Foundation of China (Grants 11572224 and 11772229).

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Authors and Affiliations

  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, China

    Feng Wang & Jian Xu

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  1. Feng Wang
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Correspondence to Jian Xu.

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Wang, F., Xu, J. Parameter design for a vibration absorber with time-delayed feedback control. Acta Mech. Sin. 35, 624–640 (2019). https://doi.org/10.1007/s10409-018-0822-8

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