신뢰성 해석에 기초한 구조부재의 형상 최적화에 관한 연구

This study is concerned with the shape optimization of structural members using the isogeometry analysis concept. Isogeometry analysis is well known to be the very efficient way to integrate the geometric modeling (CAD) and computational analysis (CAE). This can be accomplished by directly using the geometric modeling by NURBS (Non-Uniform Rational Basis Spline). That is, CAD information can be directly used in the finite element modeling. The present isogeometric analysis procedure has been integrated with the optimization procedure. Coordinates of control points in NURBS and plate thickness are selected as design variables to get minimum volume of structural members. A constraint that calculated safety level is greater than the prescribed level is adopted as a safety constraint. Reliability analysis procedure is also involved in the present optimization procedure to get the reliability index as the safety level. The present procedure has been applied to three models to illustrate the usefulness of the present optimization procedure.