多拱梁位移法

多拱梁法是把拱坝离散为一系列水平向的拱和竖直向的梁。一般是用分载法求解,即以拱或梁分担的荷载为未知数,以节点处的位移相等为条件。建立方程求解。本文放弃分载的概念。以节点(拱梁交点)位移为未知数,以节点平衡为条件,建立方程求解。该法概念清楚、算法有规律,很适于计算机自动计算。本文推导了拱单元、梁单元、基础单元的单元刚度矩阵。推导了各种荷载的等效节点力。最后提供了一个计算实例,以资与多拱梁分载法比较

Displacement Method for Multr-Arch-Beam System

The method of multi-arch-beam. is to divide the arch dam into discrete horizontal arches and vertical beams, and get the solution of such system by load distribution method, in which the unknown numbers are the loads on arches or beams, the conditions are the compatibility of the node displacements. The writer gives up the idea of load distribution and suggests that the solution of the multi-arch-beam be found with the matrix displacement method, in which the unknown numbers are the nodes (the joint points of arches and beams) displacements, and the conditions are the equilibrium of nodes. The algorithm of this method is very regular, so that it is suitable for automatic computation with computers. In this paper, the writer has derived the element stiffness matrixes. for arches, beams and fundaments, and also derived the equivalent node forces of various loads. At last, an example, for a comparison between the two methods, is given.