解超静定刚架的链式坐标法

本文在梁的奇异函数法基础上,介绍解超静定梁的链式坐标法.该法首先写出刚架所有杆的用多余约束反力表示的结点变形表达式,然后将这些表达式代入结构谐调变形条件,从而可求出一组变形谐调方程.由这些方程解出全部多余约束力,最后可得到刚架内力和变形对于链式坐标的连续函数。利用这些函数式可简便地计算刚架上任一点的内力和变形值.

Chains-Coordinate-methods for Stat ically Indeterminate Rigid Frames

Chains-coordinate-methods for statically indeterminate rigid frames are introduced in this article, which is based on the singulnrity function-me- thods for beams.these methods being applied, the expressions for the node-deformations of all the bars of a frame are first written in terms of the redundents, and then a set of equations of consistent deformation may be obtained hy substitution these expressions into the conditions of conistent defortations of the structure.when the equations are solved for all the redunients, the internal forces and deformations of the frame can be finally given as continuour fnuctions of chain-coordinate. By these function the interns forces and deformations at any given points on the frame can be evaluated in a simple way.