Shape variable definition with C0 , C1 and C2 continuity functions

Published in Comput. Methods Appl. Mech. Engrg., Vol. 188, pp. 727-742, 2000
doi: 10.1016/S0045-7825(99)00358-8

Abstract

The present paper proposes a new technique for the definition of the shape design variables in 2D and 3D optimisation problems. It can be applied to the discrete model of the analysed structure or to the original geometry without any previous knowledge of the analytical expression of the CAD defining surfaces. The proposed technique allows the surface continuity to be preserved during the geometry modification process to be de®ned a priori. This capability allows for the definition of shape variables suitable for every kind of discipline involved in the optimisation process (structural analysis, fluid-dynamic analysis, crash analysis, aerodynamic analysis, etc.)