基于Duhamel积分的车桥耦合动力分析方法

乔宏; 夏禾; 杜宪亭

doi:10.3969/j.issn.0258-2724.2014.05.004

基于Duhamel积分的车桥耦合动力分析方法

doi: 10.3969/j.issn.0258-2724.2014.05.004

基金项目:

国家973计划资助项目（2013CB036203）

国家自然科学基金资助项目（51208027）

中央高校基本科研业务费专项资金资助项目（2013JBM011）

详细信息

通讯作者:
夏禾（1951-），男，教授，硕士，博士生导师，研究方向为桥梁振动及控制，E-mail：hxia88@163.com

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出版历程
- 收稿日期: 2014-01-03
- 刊出日期: 2014-10-25

Analytical Method for Calculating Dynamic Response of Coupled Train-Bridge System Based on Duhamel Integral

摘要

摘要: 为了缩短求解车桥耦合系统动力响应的计算时间，利用振型分解法对车桥耦合系统的桥梁子系统和车辆子系统解耦，假定在每一时间步长内车桥相互作用力线性变化，借助Duhamel积分解析解，通过迭代得到系统的动力响应，提出了一种新型的车桥耦合动力分析方法.以一节四轴客车匀速通过32 m简支梁为例进行了实验研究，结果表明：本文方法得到的车桥耦合系统的动力响应结果与Newmark-β方法的结果接近，各极值点相对误差均不超过1%；在保证相同的计算精度前提下，本文方法将积分步长提高至原来的5~10倍，提高了求解速度.
- 车桥耦合系统 /
- 动力分析 /
- 振型分解法 /
- Duhamel积分 /
- Newmark-β方法
Abstract: In order to shorten the computation time of solving the dynamic response of a coupled train-bridge system, the modal decomposition method is used to decompose the train subsystem and bridge subsystem in the coupled system. Assuming that the vehicle-bridge interaction forces change linearly within each time step, the dynamic response of the system during this period is obtained by Duhamel integral. Based on this theory, a new method is proposed to analyze the dynamic response of the coupled train-bridge system. The proposed method is then used to analyze a 4-axle train passing through a 32 m simply-supported beam at a constant speed. The results show that the dynamic responses obtained by the proposed method for the coupled train-bridge system are very close to those obtained by the Newmark-β method, and the relative error at every extreme points is less than 1%. Compared with the Newmark-β method, the proposed method can increase the time interval of integration by at least 5-10 times while ensuring the precision.
- coupled train-bridge system /
- dynamic analysis /
- modal decomposition method /
- Duhamel integral /
- Newmark-β method

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参考文献(16)

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