基于拉格朗日键合图梁-多自由度耦合系统模态分析  

Modal analysis of a beam carrying any number of spring-damping-mass based on lagrangian bond graph

作　　者：薛晓鹏[1] 樊久铭[1] 盖秉政[1] 

机构地区：[1]哈尔滨工业大学,哈尔滨150001

出　　处：《应用力学学报》2010年第2期239-242,共4页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(50478030/E080509)

摘　　要：基于拉格朗日键合图建立了梁-多自由度耦合系统的离散模型,考虑子结构与梁间的相互影响,得到了系统振动的数学模型。以一个固支梁联接三个弹簧-质量的耦合系统为例进行了建模仿真,得到的模态分析结果与文献一致,表明该方法对此类耦合系统进行模态分析是正确的。The present work studies the discrete model of a coupled beam-multiple degree of freedom system based on the Lagrangian bond graph approach.With the bond graph,the interaction between the sub-structures and the beam is considered,leading to a mathematical model of the system vibration.Simulation results of a clamped beam coupled with three spring-mass sub-structures match those from the literature.This demonstrates that the Lagrangian bond graph approach is valid for the modal analysis of such coupling systems and is also feasible.

关 键 词：拉格朗日键合图 模态分析 梁 耦合系统 

分 类 号：O326[理学—一般力学与力学基础]