局部非协调网格在高拱坝应力分析中的应用

在局部不协调网格界面上，以网格尺度较大单元所包含的界面上的节点作为基本节点，而界面上与网格尺度较小单元相应的节点作为从节点，建立了从节点与基本节点的线性插值关系，从而导出了以基本节点位移作为求解变量的局部非协调网格协调位移解法。该方法应用于地基上复杂结构的受力分析，可使得结构网格较密，而地基网格稀疏，从而达到不失计算精度，提高求解效率的目的。以某拱坝为例，探讨了局部不协调网格的处理方法对计算结果的影响，并验证了所提方法的正确性。

Application of locally incompatible meshes to stress analysis of high arch dams

On the interface of locally incompatible meshes, nodes belonging to large elements are regarded as basic nodes, and nodes belonging to small elements are regarded as subordinate nodes. The linear interpolation relation between basic nodes and subordinate nodes is developed to meet the requirement of the compatible displacement method for treatment of the locally incompatible mesh, in which the displacement of basic nodes is taken as a variable to be solved. This method can be used for stress analysis of complicated structures on the foundations. By setting of dense structure meshes and sparse foundation meshes, the method improves the efficiency of calculation, while does not decrease the accuracy of calculation. With an arch dam as an example, the effect is discussed of the locally incompatible mesh treatment method on the calculated result, and the method is verified to be reasonable.