Parameter design of nonlinear energy sink based on nonlinear output frequency-response functions
Yang Kai1, Zhang Ye-wei1,2, DING Hu1, LI Xiang1,CHEN Li-qun1,3
1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072;
2. Faculty of Aerospace Engineerings, Shenyang Aerospace University, Shenyang 110136, China;
3. Department of Mechanics, Shanghai University, Shanghai 200444, China
摘要基于非线性输出频率响应函数(Nonlinear output frequency response function, NOFRF),对引入了被动非线性消振器(nonlinear energy sink,NES)的单自由度振动系统进行了分析,从频域分析的角度评价NES的振动抑制效果,对其进行动力学参数设计。首先,建立了引入NES的振动系统非线性动力学模型。然后,通过数值仿真,对单自由度系统进行了非线性输出频率响应函数分析和输出频率响应分析,从频域分析的角度解释了在原振动系统中引入NES对原系统固有频率几乎没有影响的原因。最后,通过分析NES各参数对振动抑制效果的影响,对NES进行了动力学参数设计。本文得出的分析结果对于工程领域中NES的设计具有非常重要的指导意义。
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.
杨凯1,张业伟1,2,丁虎1,李响1,陈立群1,3. 基于非线性输出频响函数的NES动力学参数设计[J]. 振动与冲击, 2016, 35(21): 76-80.
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. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(21): 76-80.
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