计算机绘制三铰拱桥结构的影响线

Drawing Influential Lines of Three-hinged Arch By Maple

提出了用计算机绘制三铰拱桥结构影响线的方法。用手工绘制三铰拱结构的影响线需要采用叠加法,计算复杂,工作量大。本文给出约束力和内力的分段解析函数,用Maple编程可以直接绘出三铰拱桥结构的影响线。给出了绘制三铰拱桥结构,在竖向移动载荷作用下,对水平支座约束力,垂直支座约束力,任意截面上弯矩,剪力和轴力影响线的实例,用Maple编程求解三铰拱结构的力学问题,精确性高,可操作性强,快速、便捷,大大提高了计算效率。

This paper presents a method of drawing influential lines of the three-hinged arch structure by computer. To draw influential lines manually using the superposition method makes the calculation complex, and involves a lot of workload. In this paper, piecewise analytic functions of the constraits and the internal forces are studied. By Maple programming, the influential lines of the arch structure can be drawn directely. A given example shows that the Maple program can draw the ~nfluencial lines of the constraint force of the horizontal bearing binding, of the constraint force of the vertical bearing binding, of the bending moment, of the shearing force and of the axial force of the three-hinged arch structure under the vertical load. The method is efficient, and reliable, fast and simple for the mechanical analysis of arch structures. The computing efficiency is much more improved.