杆系机动分析的计算机方法

本文提出了一种杆系机动分析的计算机方法。用高斯消去法求解结构刚度方程,当对角元素被消成零值时,立即把该对角元素改成适当的正实数,使消元运算能按自然顺序继续下去。消元运算结束后,统计这种正实数的个数m,则杆系的自由度就是m。这种算法的原理同样适用于刚度方程的LDL~T等其他解法。用本文方法研究了蜂窝形三角锥平板网架的几何不变性问题,验证和补充了文的结论。

Practical Computer Method for Kinematic Analysis

This paper gives a computer method of analysis for the geometrical stability of structures. The stiffness equation is solved by means of the Gauss elimination method. If a diagonal element is reduced to zero we shall adda proper positive real number to it so that the Gauss elimination may be continued. Finally, if there are m positive read numbers added, the degree of freedom of the structure will be m and the rank of the stiffness matrix is r=n-m (n-its order). The procedure is adaptable to other methods for solving the stiffness equation.