有界窄带激励下手臂系统主共振分析  

PRIMARY RESONANCE ANALYSIS OF ARM SYSTEM UNDER BOUNDED NARROW⁃BAND EXCITATION

作　　者：杨志安 满志军 刘文洋 YANG ZhiAn;MAN ZhiJun;LIU WenYang(Tangshan Key Laboratory of Structure and Vibration Engineering,Tangshan University,Tangshan 063000,China;College of Mechanical Engineering,North China University of Science and Technology,Tangshan 063210,China)

机构地区：[1]唐山学院唐山市结构与振动工程重点实验室,唐山063000 [2]华北理工大学机械工程学院,唐山063210

出　　处：《机械强度》2024年第4期802-808,共7页Journal of Mechanical Strength

摘　　要：应用多尺度法,对随机窄带激励下人体手臂与振动机械耦合系统的第1阶主共振进行分析,建立手臂系统的二自由度非线性动力学方程。依次求解系统第1阶主共振的幅频响应方程和Ito随机微分方程。为研究随机振动下变量的分布规律,使用矩估计法计算第1阶主共振随机均方响应期望和均方值的近似表达式。通过数值分析得到人体手臂系统内参数对主共振的影响。结果表明,第1阶主共振的均方响应曲线与它们的幅频响应曲线结构相近具有拓扑关系,增大外激励的幅值主共振振幅的均方值和共振区域均增大,而系统阻尼的增大则会使均方值和共振区域减小。非线性刚度系数的改变对系统影响很小。By using multi⁃scales method,the first primary resonance of the human arm and vibration mechanical coupling system under random narrow⁃band excitation was analyzed,and the two⁃degree⁃of⁃freedom nonlinear dynamic equation of the arm system was established.The first primary resonance amplitude frequency response equation and Ito stochastic differential equation of the system were solved in turn.In order to study the distribution law of variables under random vibration,the approximate expressions of the expectation and mean square value of the first primary resonance random mean square response were calculated using the moment estimation method.The influence of the parameters of the human arm system on the primary resonance was obtained through numerical analysis.The results show that the mean square response curves of the first primary resonance have the same topological structure as their amplitude⁃frequency response curves,and the mean square value of the primary resonance amplitudes and the resonance region increase with the increase of the amplitude of the external excitation,while the increase of the system damping will reduce the mean square value and the resonance region.The change of nonlinear stiffness coefficient has little effect on the system.

关 键 词：手臂系统 非线性 主共振 多尺度法 窄带激励 

分 类 号：O324[理学—一般力学与力学基础]