拱坝应力分析中的有限元内力法

本文提出了拱坝应力分析的有限元内力法，该法首先按常规方法建立拱坝及地基在水压力，自重等荷载作用下的有限元平衡方程，求解结点位移和单位应力，然后将坝体分解为拱系和梁系，根据拱和梁的内力平衡条件求解指定截面上的约束内力，并进而求解应截面上的内力（弯矩、轴力、剪力等）和坝体内任一点的等效应力。文中推导出了相应的计算公式，并通过对典型的圆筒拱坝和拟建的某高拱坝的应力分析说明了该方法的正确性。

The method of finite element internal force for analysis of arch dam stresses

In this paper, the method of finite element internal force for analysis of arch dam stresses is presented. Based on the routine method, finite element balance equation of dam body and dam foundation under water pressure and body force is established to solve the nodal displacements and element stresses. Based on the condition of internal force balance of arch system and beam system, constraining internal forces of given section are solved by dividing the dam body into arch system and beam system. Further more, internal forces of given section(moment, axial force, shear etc.) and equivalent stresses of dam body any where are to be solved. Calculation formulas are derived, and some simple examples about typical cylindrical arch dam and multiple dome dam which is to be built prove that the method proposed in this paper is right.