摘要
提出一种多体系统冲击响应谱分析法,以一个基础受加速度冲击刚柔系统为例,详细阐述了该方法的理论基础,主要为:首先利用传递矩阵法求得系统任意点的状态矢量和系统振型;建立系统相对基础运动微分方程,进而建立系统的多体动力学方程;利用系统增广特征矢量的正交性求得广义坐标,结合速度冲击谱的定义获得各模态最大响应,最后经各模态响应合成得到系统的冲击响应时间历程。用一个具体工程实例,通过与一般力学解析方法、有限元冲击响应谱分析法结果的对比,验证了所提方法的有效性。
A shock response spectrum method for multi-body systems was presented.Taking a rigid-f lexible-multi-body system under base shock excitations for example,the theoretical bases of the method were described.Firstly,the transfer matrix method was used to obtain the system state vectors and natural modes;secondly,the differential equations of the system bodies in a coordinate relative to base were built,and the equations were decoupled with the orthogonal system augmented eigenvectors,the maximum responses of each modes of the system were obtained with the definition of shock spectrum;last,the time-varying responses of the system were obtained with mode combination.The feasibility and effectiveness of the proposed method were confirmed with an example.
出处
《振动与冲击》
EI
CSCD
北大核心
2011年第4期127-130,共4页
Journal of Vibration and Shock
基金
国防预研项目(4010106010303)
关键词
冲击
多体系统
冲击响应谱分析法
传递矩阵方法
shock
multi-body systems
spectrum method for shock response analysis
transfer matrix method
