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本文引用格式:钟锐,陈建恩,葛为民,刘军,王肖锋.串联非线性能量阱的高分支响应研究[J].动力学与控制学报,2019,17(3):251~257;   Zhong Rui,Chen Jian′en,Ge Weimin,Liu Jun,Wang Xiaofeng.Research on higher branch response of series nonlinear energy sink[J].Journal of Dynamics and Control,2019,17(3):251-257.
串联非线性能量阱的高分支响应研究    点此下载全文
钟锐  陈建恩  葛为民  刘军  王肖锋
天津理工大学 天津市先进机电系统设计与智能控制重点实验室, 天津 300384;天津理工大学 机电工程国家级实验教学示范中心, 天津 300384
基金项目:国家自然科学基金资助项目(11402170),天津市自然科学基金资助项目(17JCYBJC18800)
DOI:10.6052/1672-6553-2018-070
摘要:
      本文对比研究了单自由度NES和两自由度串联NES的吸振效能,重点分析了串联NES对高分支响应的抑制作用.运用复变量 平均法,推导出连接串联NES的线性主振子的慢变方程,获得了系统的频率响应曲线.在不同激励幅值下,将连接单自由度NES与连接串联两自由度NES的系统响应进行对比,结果表明,串联NES能够在较大,幅值激励范围内保持较高吸振效能.在两种幅值激励下,分析了串联NES的参数对减振效果的影响.研究结果表明,在小幅激励时,调整一级NES参数对主振子的响应影响较为明显;而在大幅激励时,二级NES参数对减振效果影响较大.
关键词:非线性能量阱,大幅激励,高分支响应,吸振效能,串联
Research on higher branch response of series nonlinear energy sink    Download Fulltext
Zhong Rui, Chen Jian′en, Ge Weimin, Liu Jun and Wang Xiaofeng
Fund Project:
Abstract:
      The vibration absorption efficiencies of a single degree of freedom (SDOF) NES and a 2 degree of freedom (2 DOF) series NES were compared,and the suppression of higher branch response by the 2 DOF NES was analyzed. The slow flow equations of the system were derived by complexification averaging method,and the frequency response curves were obtained. The response of the system attached with the SDOF NES were compared with that of the system with the series NES, under harmonic excitations with different amplitudes. The results show that the series NES can maintain high vibration absorption efficiency in a large range of excitation amplitudes. Furthermore,the parameter influences of the 2 DOF series NES on the vibration suppression effect were investigated under two excitation amplitudes. The vibration absorption for the host oscillator is mainly influenced by the primary NES under the small amplitude excitation, but by the secondary NES under the large amplitude excitation.
Keywords:nonlinear energy sink(NES),large amplitude excitation,higher branch response,vibration absorption efficiency,series
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