Parameter optimization of a maxwell model dynamic vibration absorber with negative stiffness

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (4) : 20-25.

HAO Yan,SHEN Yongjun,YANG Shaopu，XING Haijun

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Abstract

The maxwell model of the viscoelastic material was applied to a dynamic vibration absorber (DVA) system to form a Maxwell model dynamic vibration absorber with negative stiffness spring,and the parameters of the model were optimized. At first,the analytical system solution was obtained based on the established motion differential equation. Then,three fixed points were found in the amplitude-frequency curves of the primary system. The design formulae for the optimal tuning ratio of the DVA were obtained by adjusting the three fixed points to the same height according to the fixed-point theory. According to the characteristics of negative stiffness elements,the optimal negative stiffness ratio was obtained and it could keep the system stable. The optimal damping ratio was obtained by minimizing the maximum value of the amplitude frequency curves. At last,the comparisons of the presented DVA with three other traditional DVAs under the harmonic and random excitations show that the presented DVA in this paper performs better in vibration absorption.

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dynamic vibration absorber / negative stiffness / fixed-point theory / parameter optimization

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HAO Yan,SHEN Yongjun,YANG Shaopu，XING Haijun. Parameter optimization of a maxwell model dynamic vibration absorber with negative stiffness[J]. Journal of Vibration and Shock, 2019, 38(4): 20-25

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