基于T样条网格局部细化的等几何分析研究  

Research on Isogeometric Analysis Based on Local Refinement of T-splines Mesh

作　　者：王辉明[1] 乐风江[1] 

机构地区：[1]新疆大学建筑工程学院,乌鲁木齐830047

出　　处：《太原理工大学学报》2014年第4期537-541,共5页Journal of Taiyuan University of Technology

基　　金：国家自然科学基金资助项目(11362022)

摘　　要：基于非均匀有理B样条的等几何分析是近年来新出现的一种数值计算方法。为了有效处理该方法难以支持局部网格细化、不能保证水密性等不足,基于T样条网格局部细化方法对1个基准测试样例进行了等几何分析,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,T样条控制点网格生成和局部细化过程更为简单,易与CAD模型集成,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,为自适应网格划分和高效数值计算提供了新的选择。The isogeometric analysis based on NURBS technology is a new type of numerical method of rapid development in recent years.In order to effectively deal with some limitations such as the isogeometric analysis cannot permit local mesh refinement and cannot ensure watertight merging of patches,by means of the isogeometric analysis with T-splines basis function that represents an extension of NURBS technology,this paper analyzes a benchmarks problem based on local refinement of T-splines mesh and compare with the conventional FEM.The study indicates T-splines control mesh is easier to set up and local refinement with superior accuracy.The isogeometric analysis based on T-splines technology would represent important advances in removing the engineering design-to-analysis bottleneck in current industry operating pattern and provides a new selection for adaptive mesh generation and high efficient numerical computation.

关 键 词：等几何分析 有限元法 非均匀有理B样条 T样条 CAD模型 

分 类 号：O241.8[理学—计算数学]