Parameter design of nonlinear energy sink based on nonlinear output frequency-response functions

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (21) : 76-80.

Yang Kai1, Zhang Ye-wei1,2, DING Hu1, LI Xiang1,CHEN Li-qun1,3

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Abstract

The concept of transmissibility based on nonlinear output frequency-response functions (NOFRF) is used to evaluate the vibration isolation performance of a nonlinear energy sink (NES) on a single degree of freedom(SDOF) vibration system in frequency domain for NES parameters design. A SDOF structure with the NES attached system is adopted. Numerical simulations of NOFRFs and frequency responses have been performed for the nonlinear system. Thus, providing a physically meaningful explanation for the phenomena of introducing a NES into a vibration system with barely change of the resonant frequencies of the primary system. Moreover, the effects of NES parameters on the transmissibility of the nonlinear system are evaluated. It was found that by increasing the viscous damping, as well as decreasing the mass and the cubic nonlinear stiffness of the NES, the transmissibility of the SDOF structure with NES is reduced in the resonant frequency for better vibration isolation performance in this case. Therefore, the analysis results achieved in the present study are very important for NES design in engineering practices.

Key words

Nonlinear energy sink

/ dynamic parameters design / frequency-response function / frequency domain analysis / cubic nonlinear stiffness

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Yang Kai1, Zhang Ye-wei1,2, DING Hu1, LI Xiang1,CHEN Li-qun1,3. Parameter design of nonlinear energy sink based on nonlinear output frequency-response functions[J]. Journal of Vibration and Shock, 2016, 35(21): 76-80

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