基于增维精细积分法非线性能量陷减振系统分析  

Analysis of the Vibration Attenuation System with a Nonlinear Energy Sink based on Magnified Precise Integration Method

作　　者：刘涛[1] 张勇 陈沛芝[1] 盛光英[1] 姜昱祥 LIU Tao;ZHANG Yong;CHEN Peizhi;SHENG Guangying;JIANG Yuxiang(Yantai Nanshan University,Yantai 265713,Shandong China;Hennan Institute of Metrology,450008,China)

机构地区：[1]烟台南山学院,山东烟台265713 [2]河南省计量科学研究院,郑州450008

出　　处：《噪声与振动控制》2018年第5期215-219,共5页Noise and Vibration Control

摘　　要：通过线性减振弹簧构建具有非线性能量陷的Duffing振子,提出一种切实可行的非线性能量陷减振系统构建方法,利用增维精细积分法求解非线性能量陷减振系统,得到较高精度解。确定给定条件下,2自由度非线性能量陷减振系统和3自由度非线性能量陷减振系统的减振角频率范围,对非线性能量陷减振系统施加外部连续随机激励仿真,进一步确定所构建的非线性能量陷Duffing振子的可行性,为非线性能量陷减振方面的研究提供研究方向和理论基础。The Duffing oscillator with a nonlinear energy sink is constructed by linear damping springs.A feasible method for constructing the damping system with the nonlinear energy sink is put forward.The magnified precise integration method is used to solve the nonlinear vibration control system and the high precision solution is obtained.Under the given conditions,the frequency range of the vibration attenuation angles of the 2-DOF and 3-DOF nonlinear energy sink vibration systems are obtained respectively.Then,the external continuous stochastic excitation is applied to the nonlinear energy sink system for simulation to verify the feasibility of constructing the nonlinear energy sink in Duffing oscillator.This paper may provide a research direction and theoretical basis for the study of nonlinear energy sinks.

关 键 词：振动与波 DUFFING振子 非线性能量陷 增维精细积分法 随机激励 

分 类 号：TH113.1[机械工程—机械设计及理论]