一种修改的力矩分配法

AN IMPROVED MOMENT DISTRIBUTION METHOD

本文首先证明一般的力矩分配法的数学本质就是赛德尔迭代法。然后利用迭代法的优点,对力矩分配法稍做改进。在不增加运算工作量以及基本上不改变力矩分配法运算步骤的情况下,可使力矩分配法具有迭代法自动修正运算错误的特点,并且可以使迭代法中加速收敛的各种手段用于力矩分配法。

In this paper first of all it is proved that the mathematical nature of the ordinary moment distribution method is the Seidel iterative method. Then the moment distribution method is slightly improved by means of the advantage of the iterative method. Without any increase in calculation or change in the basic procedure, the improved moment distribution method possesses the character of automat ically modifying errors in calculation and can also characteristic accelerate the convergence of the iterative method by various means.