基于锥体理论的三维拱坝无限地基SBFEM模型

Scaled Boundary Finite Element Method Model of Three-dimensional Unbounded Foundation of Arch Dams Based on Cone(Theory)

基于锥体动力学理论,提出一种合理的三维拱坝无限地基SBFEM模型,利用具有马鞍面为表面的半无限空间代替拱坝无限地基。经算例验证,该模型精度可靠,能够方便高效地解决拱坝—无限地基的相互作用问题,从而拓展了SBFEM的应用范围。

The Scaled Boundary Finite Element Method(SBFEM) was mainly applied to structure-unbounded foundation interaction problems.It is dominant in solving the three-dimensional large-scale problem because of the advantage that only the boundary of the domain should be discretized.But,this method can't simulate the foundation with complicated geometrical shape(for example the three-dimensional unbounded foundation of arch dam) expediently owing to the inherent similarity,therefore,its engineering application is restricted. In this paper,based on the dynamic cone theory developed by Meek and Wolf,a reasonable three-dimensional SBFEM model for unbounded foundation of arch dams is proposed.The unbounded foundation of arch dam is substituted by a half unbounded space with saddle surface.Numerical examples show that this model is simple,effective and appropriate for large-scale practical engineering purpose as arch dam unbounded interaction problem.The applied field of SBFEM is extended accordingly.