车-桥耦合振动系统的响应分析+文献综述
关键词 车-桥耦合系统 动态响应 车桥模型 纽马克方法
毕业设计说明书（论文）外文摘要
Title The analysis of the vehicle-bridge coupling vibration response
Abstract
In recent years, the transportation industry is developing rapidly, and
all kinds of Bridges is more and more,the safety and reliability of bridge
traffic and transportation have gradually become a field of study which
people are interested in. When Vehicles go through the bridge,the vibration
of the bridge is caused,the bridge is not only affected by static function,
meanwhile has dynamic response, therefore,to study the safety of the
bridge,a system analysis of the dynamic response of the vehicle-bridge
caused by vehicles through the bridge is necessary.This paper is aimed at
a simplified vehicle-bridge model .In the study,c + + programming language
and matlab numerical analysis software were used. Specific contents
basically include: 1、Establish a vehicle-bridge model,and derived the
motion differential equations of the system. 2、Use the c + + programming
language to write programs by the newmark method, and get the numerical
solution of the response.3、Lead the numerical results into matlab and draw
images. 4、Change the system parameters to get some group results.Compare
the results and draw a conclusion.
Keywords The bridge-vehicle coupling system Dynamic response Vehicle-bridge model Newmark Method
目 次
1 绪论1
1．1 车桥耦合振动问题概述„ 1
1．2 车桥耦合振动问题研究的发展历程„ 1
1． 3 主要车桥模型 2
1．4 车桥耦合振动研究方法的发展情况„ 5
1．5 本文的主要工作„ 7
2 模型选取„ 7
3 数学模型„8
3．1 梁的弯曲振动8
3．2 将集中力化为分布力„12
3．3 振型函数的正交性13
3．4 运动方程的推导„14
4 求解方程„19
4．1 纽马克方法简述„19
4．2 纽马克方法计算步骤„20
4．3 参数选取21
5 结果分析„21
5．1 桥上同一点在不同车速下的振动情况21
5．2 桥上不同点在同一车速下的振动情况31
结论 „36
致谢 37
参考文献38 1 绪论
1．1 车桥耦合振动问题概述
随着车辆（汽车、火车等）行驶速度的不断提高，交通密度的不断增加，以及交
通结构（桥梁、隧道等）所承受载荷的不断加重，车辆与结构的动力相互作用问题越