CAD与CAE集成的等几何分析  

Isogeometric Analysis Toward Integration of CAD and CAE

作　　者：傅晓锦[1,2] 

机构地区：[1]上海电机学院机械学院,上海200245 [2]绍兴文理学院工学院,浙江绍兴312000

出　　处：《上海电机学院学报》2011年第6期376-380,共5页Journal of Shanghai Dianji University

基　　金：国家自然科学基金项目资助(50675206);浙江省自然科学基金项目资助(Y106847;Y1090153);上海市教育委员会重点学科资助(J51902);上海电机学院重点培育项目(10C102);上海电机学院科研启动经费项目资助(10C431)

摘　　要：提出了基于等几何分析的CAD和CAE集成方法,该方法能与现有的有限元分析法兼容,保持了原有单元的形式与算法。基于B样条的等几何分析既能准确表达几何形状,又可以光滑几何边界。推导了等几何分析算法,得出该方法与常规的有限元分析形式上一致,建立了等几何灵敏度分析的计算方法和形状优化模型,通过几个典型实例表明所用方法的有效性。Integration of CAD and CAE is described based on an isogeometric analysis that can be easily incorporated into the existing finite element codes without changing the element form and assembly algorithms. The isogeometric analysis approach is based on non-uniform rational Bsplines（NURBS）. The analysis model represents the structural geometry exactly. Furthermore, NURBS enables efficient geometry control together with smooth boundaries. We have derived the algorithm of isogeometric analysis, which is predicated in the environment of finite element analysis and the NURBS-based isogeometric analysis. A model of structural shape optimization is estab lished, and the calculation algorithm for sensitivity developed. Some representative examples demonstrate validity of the method.

关 键 词：等几何分析 计算机辅助设计 B样条 形状优化 有限元分析 

分 类 号：O241.82[理学—计算数学] TH122[理学—数学]