弹性地基梁的修正刚度矩阵解法

提出一个分析弹性地基梁的修正刚度矩阵解法。在该法中，土的反力模型采用文克尔假定：将梁分成若干段，假定第段梁弹性线的函数形式，并以梁单元两结点的位移作为弹性线函数的参数；将土的反力表示成梁单元结点位移的函数，并作为分布荷载作用在梁单元上；利用梁位移解法的基本 建立土反力的结点力与结点位移的关系，并以矩阵形式表示，形成土反力矩阵；将土反力矩阵与梁单元刚度矩阵迭加，形成修正的梁单元刚度矩阵；最后，由梁单

Modifying stiffness matrix method of elastic foundation beam

In this paper, a new method - modifying stiffness matrix method is presented. In the method, the Winkler hypothesis is proposed, the parameters of elastic line function are determined with node displacements of beam element. According to Winkler hypothesis, the reaction of soil is described as a function of beam element node displacement, which is applied to beam element as distributive loads. By the fundamental solution of beam, the relationship between node forces and node displacement is developed in matrix form, which is called as the soil reaction matrix. The soil reaction matrix is added to beam element stiffness matrix, and modified beam element stiffness matrix is formed. At last, the matrix equation for analyzing elastic foundation beam is held up by the equilibrium of node forces.