中文摘要：

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。

英文摘要：

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.