CAJ | 학술논문

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。
제출료기우등궤하분석적CAD화CAE집성방법，해방법능여현유적유한원분석법겸용，보지료원유단원적형식여산법。기우B양조적등궤하분석기능준학표체궤하형상，우가이광활궤하변계。추도료등궤하분석산법，득출해방법여상규적유한원분석형식상일치，건립료등궤하령민도분석적계산방법화형상우화모형，통과궤개전형실례표명소용방법적유효성。
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.