平面杆系任意截面内力算法构造及其应用

摘要

This paper dealt with the technique of internal force analysis of plane skeletal structures un der arbitrary concentrated force, concentrated couple and linearly distributed force. The investigation of all the characteristic points of lateral load and axial load of an element led to the lateral load array and axial load array of the element. Based on this, the section method and recursion method based on characteristic points for internal force computation were constructed and analyzed. The algorithm developed can be directly applied to computer programming of internal force analysis of plane skeletal structure.%讨论了受任意集中力、集中力偶和线性分布力作用的平面杆系结构内力分析技术.遍历单元的轴向和横向荷载特征点,生成该单元的“轴向荷载教组”和“横向荷载数组”,以此为基础,构造内力计算的“特征点截面法”和“特征点递推算法”,并进行了分析.分析结果表明:两种算法适合包含梯形分布的复杂荷载组合,是一种实用的平面杆系内力计算技术,可直接用于平面杆系内力分析计算机编程.