Dynamics and isolation performance of a nonlinear vibration isolator with a bistable cosine-shaped beam

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (2) : 113-122.

ZHANG Wei1,2，WANG Wenbo1，LI Shuangbao3

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Abstract

In order to isolate the low frequency vibrations in aircraft, a quasi-zero stiffness nonlinear vibration isolator is proposed, which is composed of a linear positive stiffness spring in parallel with a bistable cosine-shaped beam with negative stiffness. Firstly, through the static analysis of the cosine-shaped beam nonlinear vibration isolator, the structure parameters of the isolator at the quasi-zero-stiffness equilibrium point are given. Secondly, the dynamical model of a harmonically excited nonlinear vibration isolator with a bistable cosine-shaped beam is established. Through the analysis of the unperturbed system, the existence of bifurcation behavior of equilibrium point and the condition of stable-quasi-zero-stiffness are obtained. Finally, the isolation performance of the cosine-shaped beam nonlinear isolator under the excitation force is analyzed to obtain the initial vibration isolation frequency by using numerical analysis method and Finite Element Analysis(FEA). Moreover, compared with the linear vibration isolation system, it is shown that the initial vibration isolation frequency can be effectively reduced for the proposed quasi-zero stiffness nonlinear vibration isolation with cosine beam. Therefore, the nonlinear vibration isolator with cosine-shaped beam has excellent low frequency vibration isolation performance, which provides a theoretical basis for the optimal design of low frequency nonlinear vibration isolator.

Key words

bistable cosine-shaped beam / equilibrium bifurcation / initial vibration isolation frequency / quasi- zero-stiffness

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ZHANG Wei1,2，WANG Wenbo1，LI Shuangbao3. Dynamics and isolation performance of a nonlinear vibration isolator with a bistable cosine-shaped beam[J]. Journal of Vibration and Shock, 2022, 41(2): 113-122

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