Parametric optimization of a DVA with amplifying mechanism, inerter and grounded stiffness

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (21) : 308-215.

YANG Xiaotong1, SHEN Yongjun1,2, WANG Junfeng3

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Abstract

Inerter, amplifying mechanism, grounded stiffness and their combined structures are often used in vibration control, and the better vibration reduction effect can be obtained. A grounded stiffness dynamic vibration absorber (DVA) with amplifying mechanism and inerter is presented. Based on Voigt DVA, the inerter, amplifying mechanism and grounded stiffness are all introduced to improve the vibration damping performance. The parameters optimization are carried out according to H∞ criterion. Firstly, the differential equation of system motion is established, and the optimal frequency ratio is derived based on the extended fixed-point theory. Then the optimal stiffness ratio of the system and the best working range of inerter in stable state are obtained, and the approximate damping ratio of the system is also obtained by using the perturbation-based method. Finally, the correctness of the analytical solution is verified by the numerical solution calculated in MATLAB. Under the condition of simple harmonic excitation, it is proved that this model has great vibration reduction effect by comparing with some existing DVAs. The further verification is fulfilled when the primary system is subjected to random excitation. The investigation procedure and results have certain guiding significance for the design and application of the new DVAs.
Key words: dynamic vibration absorber; parameter optimization; amplifying mechanism; inerter; fixed-point theory

Key words

dynamic vibration absorber / parameter optimization / amplifying mechanism / inerter / fixed-point theory

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YANG Xiaotong1, SHEN Yongjun1,2, WANG Junfeng3. Parametric optimization of a DVA with amplifying mechanism, inerter and grounded stiffness[J]. Journal of Vibration and Shock, 2022, 41(21): 308-215

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