Isogeometric Analysis Toward Integration of CAD and CAE

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 B-splines(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 established,and the calculation algorithm for sensitivity developed.Some representative examples demonstrate validity of the method.