摘要桥梁振动是影响桥梁使用与安全的重要因素，随着社会的进步，公路运输业的发展也越来越快,桥梁的形式也越来越多，故大跨度桥梁在移动载荷作用下的变形与振动等问题就变得较受关注。特别是其强度、变形的计算及动态响应在道路、桥梁及机械设计中大受重视。73828

本文首先就奇异函数的定义以及常用的积分法则与微分法则进行了介绍，且简单介绍了Mathcad软件以及计算画图时需要经常使用的一些功能；其次以简支桥梁和双跨桥梁为例，应用奇异函数法，推导出其在移动载荷作用下的弯矩方程及响应方程；应用Mathcad软件求解方程，并绘制出给定时刻下桥梁在不同移动速度下的变形图，以此来研究桥梁静、动态变形的规律。

本文研究结果表明：在给定的时刻受不同移动速度作用时,简支桥梁的最大挠度呈先增后减趋势，而双跨桥梁的最大挠度的则呈先减后增趋势；简支桥梁的振动位移在给定时刻下，随移动速度的增加呈先增后减趋势，当移动速度为40km/h时，振动位移最大，移动荷载与简支桥梁产生共振。

该论文有有图28幅，表9个，参考文献36篇。

毕业论文关键词：奇异函数  Mathcad  桥梁变形  移动载荷

Study on Bending Deformation and Vibration of Bridge Under the Action of Moving Vehicle

Abstract Bridge vibration is an important factor affecting the use and safety of bridge, with the development of society, development of road transportation industry is becoming more and more quickly, form of the bridge is also more and more, so long-span bridges under moving load deformation and vibration problem becomes more concern. In particular, its strength, deformation and dynamic response of the road, bridge and mechanical design in great importance.

Firstly the definition of singular function and common quadrature rule and rule of differentiation were introduced, and a brief introduction of the drawing and calculation of Mathcad software to often use some function; secondly to simply supported bridge and double bridge as an example, by singular function method is derived whose moment equation under the action of moving loads and response equation; use of Mathcad software is used to solve the equations, and draw out the given time under the bridge at different speeds of movement of deformation maps, in order to study bridge girder static, dynamic deformation rules.

 In this paper, the research results show that at a given moment by the different mobile speed, the maximum deflection of simply supported bridge was first increased and then decreased, and the maximum deflection of two span bridge was first decreased and then increased; simply supported bridge displacement response under a given time, with movement speed increase first increased and then decreased, when the moving speed of 40km / h, in response to the maximum displacement, moving load and simply supported bridge resonance.

There are 28figures, 9tables and 36 references in this paper.

Key Words: Singular function  Mathcad  Bridge deformation  Moving load 

目录

摘要 I

Abstract II

目录 III

图清单 IV

表清单 V

变量注释表 V

1绪论 1

1.1 研究意义 1

1.2 国内研究现状 1

1.3 国外研究现状 4

1.4 研究内容与技术路线