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简谐激励作用下强非线性吸振器的能量转移效能

陈建恩 刘军 葛为民 孙敏

噪声与振动控制2017,Vol.37Issue(3):24-30,7.
噪声与振动控制2017,Vol.37Issue(3):24-30,7.DOI:10.3969/j.issn.1006-1355.2017.03.005

简谐激励作用下强非线性吸振器的能量转移效能

Energy Transfer Efficiency of Nonlinear Vibration Absorbers under Harmonic Excitations

陈建恩 1刘军 1葛为民 1孙敏2

作者信息

  • 1. 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
  • 2. 天津城建大学 理学院,天津 300384
  • 折叠

摘要

Abstract

The efficiency of energy transfer from a single DOF primary structure subjected to harmonic excitation to a nonlinear vibration absorber is investigated. The slow flow equations of the system are derived by using complexification-averaging method, and the nonlinear equations which describe the steady-state response are obtained. The resulting equations are verified by comparing the results which respectively obatined from complexification-averaging method and Runge-Kutta method. The energy transfer efficiency and constancy of the absorber are analyzed by using complexification-averaging method. The results indicate that the frequency responses of the system are quite different under the excitation with different amplitudes. The vibration suppression effect of the absorber is excellent when the excitation amplitude is relatively small. With the increasing of the excitation amplitude, the energy transfer efficiency of the absorber cannot remain constant. The system will yield a lower stable branch and a higher stable branch, and the two branches will get closer and finally merge with the further increase of the excitation amplitude.

关键词

振动与波/强非线性吸振器/复变量平均法/能量转移/恒定性

Key words

vibration and wave/strongly nonlinear vibration absorber/complexification-averaging method/energy transfer/constancy

分类

数理科学

引用本文复制引用

陈建恩,刘军,葛为民,孙敏..简谐激励作用下强非线性吸振器的能量转移效能[J].噪声与振动控制,2017,37(3):24-30,7.

基金项目

国家自然科学基金资助项目(11402170,11402165) (11402170,11402165)

噪声与振动控制

OACSCDCSTPCD

1006-1355

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