双层隔振系统动力学建模和响应计算  

Modeling and Calculating on Two Stage Isolation System

作　　者：贺华[1] 冯奇[1] 

机构地区：[1]同济大学固体力学教育部重点实验室,上海200092

出　　处：《同济大学学报（自然科学版）》2004年第12期1578-1582,共5页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目 (10 0 72 0 40 )

摘　　要：研究了由多刚体组成的双层隔振系统 ,以空间多刚体一般运动理论为基础 ,导出适用于刚体之间或刚体与基础之间具有 6个相对运动自由度的运动微分方程组 ;分别用模态分析法和摄动法得到线性和非线性方程组的响应 ,计算结果与龙格 -库塔法的结果一致 .最后以MTU公司的一个柴油机隔振系统为例 ,从定性和定量的角度分析非线性项和弹簧长度对系统频率和响应的影响 ;指出在正常工作情况下 ,弱非线性对系统的影响不大 ,在工程设计时可以忽略 ,而在部分隔振器损坏的情况下则不可忽略 .This paper deals with vibration properties of a two stage isolation systems which is composed of rigid bodies.Differential equations are deduced by applying the multi-body dynamics theory.Mode superposition method and perturbation method are used to obtain the responses of linear and nonlinear systems respectively.And the results coincide with those obtained by Runge-Kutta method.Quantitative and qualitative analyses are applied to estimate the effect of small nonlinearity and height of isolators on a MTU diesel engine isolation system.It is revealed that the contribution of small nonlinearity can be omitted under operational environment,but that can not be left out if some isolators are broken.

关 键 词：双层隔振 多体系统 弱非线性 

分 类 号：TU311.3[建筑科学—结构工程]