变速移动载荷作用下梁的动态响应数值模拟  

Numerical Analysis for Dynamic Responses of Beams Subjected to Moving Loads with Non-uniform Motion

作　　者：陈强[1] 杨国来[1] 王晓锋[1] 葛建立[1] 

机构地区：[1]南京理工大学机械工程学院,江苏南京210094

出　　处：《南京理工大学学报》2011年第2期204-208,共5页Journal of Nanjing University of Science and Technology

基　　金：国防'973'课题(61311603)

摘　　要：分析具有大速度、加速度或大质量的移动载荷作用下支撑梁的动力响应问题,采用有限元法和振型叠加法相结合的建模方法,推导出关于模态坐标的时变系数常微分方程组,并通过Newmark-β算法求解数值解。与文献算例和ABAQUS模型的结果对比验证了该文方法与现有方法的一致性。通过分析匀速、匀加速、匀减速3种典型运动状态移动载荷作用下的支撑梁响应情况可知,在移动载荷具有大速度、大加速度或大质量时,研究梁的动力响应问题均需考虑移动载荷惯性影响。To analyze the dynamic responses of supporting beams subjected to moving loads with large velocities,large accelerations or large mass,a modeling method combining the finite element method with the modal superposition method is derived.A system of ordinary differential equations about modes coordinates is deducted,which has time-varying coefficients and can be solved by applying Newmark-β algorithm.The method is proved equivalent to the present methods by comparing references and the ABAQUS model.Through analyzing dynamic responses of supporting beams subjected to moving loads with three motion styles（uniform,accelerated and decelerated）,this paper concludes that the moving loads＇ inertia effect is significant when a moving load has large mass,large velocity or large acceleration.

关 键 词：动态响应 有限元法 振型叠加 移动质量 变速运动 惯性影响 

分 类 号：O327[理学—一般力学与力学基础]