弹性地基上薄拱坝壳体理论差分法的计算

A Finite Difference Method of Shell Theory For Calculation of Thin Arch Dam on Elastic Foundation

本文采用伏格特假定来考虑地基变形的影响,用壳体理论差分法,借助坝基虚结点实现弹性地基边界条件的影响,推导了弹性固结边界和设置底缝边界条件下实结点和虚结点变位平衡方程式。通过实例用上述原理进行了计算,并通过模型试验予以验证,符合较好。而且该法计算简便,精度满足工程要求。

In this paper, by using F. Vogt assumption and the finite difference method of shell theory, the equations for nodal displacements of arch dam with elastic fixed edges and horizontal foundation joints are derived. The concept of virtual nodes lying outside the dam by finite difference method are used to consider the influences of rock deformations. Several examples are given to compare with model test. The computational results are well agreed with the experimental data. The advantages of the method presented is that the computation is simpler and the accuracy is higher.