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）was used to evaluate the vibration isolation performance of a nonlinear energy sink （NES）of a single degree of freedom （SDOF）vibration system in frequency domain for NES parametric design.A SDOF structure with a NES attached system was adopted.Numerical simulations of NOFRFs and the frequency responses analysis of the SDOF system were performed. Thus,a physically meaningful explanation was provided for the phenomena introducing a NES into a vibration system with barely change of the resonant frequencies of the original system.Moreover,the effects of NES parameters on the transmissibility of the nonlinear system were evaluated.It was shown that by increasing the viscous damping and decreasing the mass and the cubic nonlinear stiffness of the NES,the transmissibility of the SDOF structure with NES is reduced at 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.
出处
《振动与冲击》
EI
CSCD
北大核心
2016年第21期76-80,86,共6页
Journal of Vibration and Shock
基金
国家自然科学基金(11402151
11232009
11572182)
关键词
非线性消振器
动力学参数设计
非线性输出频响函数
频域分析
立方非线性刚度
nonlinear energy sink
dynamic parametric design
nonlinear output frequency-response function
frequency domain analysis
cubic nonlinear stiffness
作者简介
杨凯 男,硕士生,1988年生
通信作者 陈立群 男,教授,博士生导师,1963年生
