资料简介： AN IMPORVED PRECISE COMPUTATION METHOD FOR DYNAMIC RESPONSE OF BRIDGES UNDER MOVING LOADSH. Yu, D. J. Wu, H. F. Xiang
Bridge Engineering Department, Tongji University, Shanghai 200092, ChinaAbstract: In this paper, an improved precise-time step integration method is used to solve the dynamic equation of bridges under moving loads. The characteristic of moving load is simulated as a set of equivalent joint loads in terms of Hermite function. The Duhamel integration format of moving load during a time interval is derived, including all the possible relative positions of moving load at the start time and an the end time: on the same element, neighboring elements, or non-neighboring elements. The numerical example shows that the solution by the proposed method is consistent with the analytical solution and the accuracy is independent of time interval. Accurate solution of bridges under multiple moving loads from the proposed method can be obtained by only one integration step and the computing time is relatively short.
Keyword: precise time-step integration method, hermite function, moving load, time step, duhamel Integration.
计算桥梁在移动荷载作用下动力响应的改进的计算方法H. Yu, D. J. Wu, H. F. Xiang 桥梁工程系
摘要：本文提出了一种改进的精确时间步骤积分法求解桥梁在移动荷载作用下的动力方程。按照艾尔米特函数，移动荷载的特性是模拟成一组等效节点荷载。推导出了在一个时间间隔内，移动荷载的杜哈姆积分公式，包括了所有在开始时和结束时移动荷载可能的相对位置：在相同的单元，相邻的单元，或不相邻的单元。算例表明，用该方法所得的解答是和解析解一致的，精度是与时间间隔独立的。通过提出的方法可以得到桥梁在多个移动荷载作用下的精确解，只要通过一次积分步骤，计算时间相对较短。
关键词：精确的时程积分法；艾尔米特函数；移动荷载；时间步长；杜哈姆积分
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