基于数值积分的橡胶坝坝袋曲线计算与绘图程序研究

针对橡胶坝坝袋曲线的计算效率低、精度有限等问题,基于数值积分,应用梯形法、龙贝格算法求解第一、第二类椭圆积分并用于橡胶坝的坝袋计算。两种方法用来求解椭圆积分,在一定的内外压比和等分数等条件下,计算不完全椭圆积分,可以达到非常高的精度。通过AutoCAD Automation技术实现了坝袋曲线的自动绘制。计算结果给出了比相关规范更加精确的坝袋曲线。因此,数值积分为橡胶坝技术研究提供了更加准确的数值模型。

Research on Programing for Calculation and Drawing of Rubber Dam Bag Curve Based on Numerical Integration

The calculation of rubber dam bag is low in efficiency and limited in precision. For the limitation and shortage,this paper puts forward the calculation method of the rubber dam bag based on numerical integration,and uses two numerical integration methods to solve the first and second types of elliptic integral and apply them to the calculation of rubber dam bag. The two methods have achieved high precision. The program compiled by the algorithm can calculate the parameters and coordinates of dam bags accurately and quickly,and automatic drawing of rubber dam bag curve is realized by AutoCAD Automation technology. The research provides effective technical support for the technical research and comparison of rubber dam.