论文部分内容阅读
等几何分析(IGA)中非均匀有理B样条(NURBS)被同时用作计算机辅助设计(CAD)中的建模工具以及有限元分析(FEA)中的逼近函数。NURBS模型中常见的缝隙和重叠问题使得分析变得困难。基于Mindlin板理论,对含有缝隙与重叠部分的NURBS模型进行等几何分析,采用Nitsche方法处理模型交界面上的非协调问题,并通过标准数值仿真算例的计算结果与解析解对比验证方法的可行性。研究结果表明:基于Nitsche的等几何方法可以用来对含局部缝隙与重叠特征的非协调Mindlin板模型进行分析;NURBS次数越高,等几何分析计算结果越精确,并且收敛速度越快。
Non-uniform rational B-splines (NURBS) in isoserial geometric analysis (IGA) are also used as modeling tools in computer-aided design (CAD) and approximation functions in finite element analysis (FEA). Slit and overlap problems common in NURBS models make analysis difficult. Based on the Mindlin plate theory, the NURBS model with gap and overlap is analyzed by the isometric method. The Nitsche method is used to deal with the non-coordination problem at the interface of the model. The calculation results of the numerical simulation are compared with the analytical solutions Sex. The results show that the isometric method based on Nitsche can be used to analyze the nonconforming Mindlin plate model with local gaps and overlapping features. The higher NURBS times, the more accurate the geometric analysis results and the faster the convergence rate.