固定网格中基于边界描述的CAD模型快速分析方法

The fixed grid technique avoids the complicated meshing process along the boundary of the structure, showing great advantages in the analysis of complex geometric structure. Modeling accuracy and analysis accuracy are two major problems in structural analysis using the fixed grid. To enhance the modeling accuracy in the fixed grid, a fast transformation method from the CAD model to the analytic model is proposed. Firstly, the CAD model is described by the boundary representation, and then the ray intersection method is developed to distinguish the elements in the fixed grid. The boundary elements are subdivided by the quatree/octree technique. Finally, the weighted B-spline finite cell method is used to guarantee the analysis accuracy of the CAD model. In this paper, a new design flow from the structural CAD model to simulation analysis in the fixed grid is established. Numerical examples demonstrate the validity and efficiency of the proposed method.