应用p-s曲线分析非线弹性地基上的欧拉——伯努利梁

摘要

在较大外荷载下,搁置在地基上的Bernoulli-Euler 梁下部的土体会发生塑性变形.在使用有限筹分法离散了文克勒地基梁(Winkler)的控制方程后,形成了线性代数方程组,然后调用计算机Fortran 程序进行了求解.利用p-s 曲线,通过迭代,使用有限差分法求解了考虑土体塑性的变基床系数的Winkler 地基梁的位移.计算结果表明:通过p-s 曲线和变基床系数的Winkler 地基梁模型,可近似分析出地基在外荷载作用下是进入弹性阶段还是弹塑性阶段,并给出较为合适的地基沉降值.最后,讨沦了算法的应用范围.%Under large load, plastic deformations occur in foundation soil below Bernoulli-Euler girder. Linear algebra equations were derived after the Winkler foundation beam governing equations were discretized with Finite Difference Method.Computer program Fortran was called to solve these equations. Then by p-s curve through iterative computations, beam deflection considering subgrade reaction coefficient variation with Load was obtained with Finite Difference Method. Results indicate that by p-s curve and Winkler foundation beam model considering subgrade reaction coefficicnt variation with load, one can approximately judge whether supporting ground soil is in elastic stage or elastoplastic stage, and the deflection can be determined relatively properly. At last. the application scope of this method is discussed.