空间刚架结构的广义逆力法

在结构计算中，根据算法中所采用的基本未知量的不同．结构分析方法可以分为力法、位移法和混合法。其中位移法由于适宜计算机处理而在结构计算领域得到了广泛的应用．经典力法相比之下应用就远不如位移法普遍，虽然力法本身在力学上有其独特的优势。广义逆矩阵做为一种较新的数学工具，自二十世纪五十年代诞生以来正日益表现出越来越旺盛的生命力。广义逆力法就是一种基于力法和广义逆矩阵理论的新的迭代算法。这种算法是一种完全适合计算机处理的力法方法。该算法的思路以及对于求解线弹性空间刚架结构问题的具体公式均在文中给出并给出了算例。从算例计算结果可以看到广义逆力法有着较好的计算效率和计算精度。该算法的提出为力法在计算机计算领域的应用开拓了新的发展空间。该算法在材料非线性问题和结构并行计算方面也有着较好的应用前景。

Generalized Inverse Force Method for Spacial Rigid Frame

In structural computation the basic structural analytical methods can be divided into force method, displacement method, and mixed method, which depend on the different basic unknowns. Since the displacement method, however, is more suitable to computational operation the force method, even it has many advantages, is not so popular for computation. Since 50's of the last century the generalized inverse matrix theory has been showing more strong vitality. The General Inverse Force Method (GIM) is a new iterative method based on the force method and the generalized inverse matrix theory, which is very suitable for computational operation. In the present paper, the algorithm of this new method and the formulae for the special rigid linear elastic frames are introduced and some example is also given. From the calculated results it is shown that the new method has higher efficiency and accuracy. It seems that the new method has opened a wide new space for force method application, and it may bring a bright future for considering material nonlinearity and structural parallel computing.