面向CAD/CAE集成的等几何分析

Isogeometric analysis toward CAD/CAE integration

为有效处理有限元方法中对复杂构件曲线或曲面形状不能精确表示、CAE和CAD系统模型异构问题,采用一种新的数值计算方法——等几何分析方法,对1个基准测试样例进行了分析计算,并和有限元方法进行了比较,结果表明在网格划分密度相近的情况下,等几何分析计算精度高于有限元方法,并且其控制点网格生成和细化过程更为简单,易与CAD模型集成和统一,能够改进当前产品设计和分析环节相互独立、整体工作效率较低的行业模式,供工程技术人员参考.

In order to effectively deal with the problems of the curve or surface shape of complex structure cannot be represented exactly and CAE and CAD system have heterogeneous model in finite element method, this research work adopts the isogeometric analysis method that is a new type of numerical method of rapid development in recent years. With this method, the paper analyzes a benchmarks problem and compares with the conventional FEM. The study indicates that superior accuracy can be achieved in isogeometric analysis in comparison with FEM; and control point mesh is easier to set up and refinement. By means of isogeometric analysis, a tighter integration of design and analysis process is likely to make a significantly impact on current industry operating pattern.