变截面桥梁在变速移动荷载作用下的动力响应  

Dynamic Responses Analysis for Non-uniform Beams Subjected to Moving Load with Non-uniform Velocity

作　　者：汪小超[1] 蒲军平[1,2] 

机构地区：[1]浙江工业大学浙西分校,浙江衢州324000 [2]浙江工业大学建筑工程学院,杭州310032

出　　处：《科技通报》2009年第2期147-152,共6页Bulletin of Science and Technology

摘　　要：为了模拟车辆/列车通过多跨变截面桥梁时的耦合动力响应,采用有限元法将移动车辆作为移动质量处理,使用Euler-Bernoulli变截面梁单元模拟桥梁结构,讨论了移动质量在梁桥模型上作匀变速运动下的有限元离散模式。在假定变截面模式的基础上,推导了梁高呈线性变化及抛物线性变化的矩形截面梁单元刚度矩阵和质量矩阵,并对多个变速移动荷载作用下的梁桥结构动力响应进行了数值模拟。运用该方法可以使变截面梁的分析简化,计算结果可作为工程设计和科学研究时的参考。In order to simulate the coupling dynamical response of a vehicle or train passed a multi-span supported bridge with non-uniform cross sections,a moving mass model had been utilized according to the Finite Element Method,using Euler-Bemoulli beam elements with variable cross-sectional properties,the finite element discretization form had been discussed for the moving mass on the bridge with a non-uniform velocity. Basing on presuming mode of a non-uniform rectangular section beams with both linear and parabolic variable heights in a plane, the stiffness and mass matrix were deducted. Dynamic response process of the bridge subjected to multi-moving load with non-uniform velocity had been simulated numerically. By applying the present element to analysis a non-uniform beam, the process can be simplified distinctly,the results can be regarded as a reference for engineering design and scientific research.

关 键 词：动力响应 移动质量 变截面梁 变速 

分 类 号：O327[理学—一般力学与力学基础]