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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,假定每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解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,由梁单元结点力平衡建立分析弹性地基梁的矩阵方程。
A modified stiffness matrix solution to analyze the elastic foundation beam is proposed. In this method, the soil reaction force model adopts the Winkel assumption that the beam is divided into several sections, assuming the function form of the elastic line of each beam and taking the displacement of two nodes of the beam element as the parameters of the elastic line function; Of the reaction force expressed as a beam unit node displacement function and as a distributed load on the beam element; the use of beam displacement solution of the basic solution to establish the relationship between the soil reaction force and node displacement, and expressed in matrix form And form the soil reaction matrix. The superposition of the soil reaction matrix and the stiffness matrix of the beam element forms a modified stiffness matrix of the beam element. Finally, the matrix equation of the elastic foundation beam is established by the force balance of the beam element node.