An efficient shape parameterization concept for structural optimization

This paper describes a shape parameterization concept that may be used efficiently in structural shape optimization. A relies on the assumption that the finite element mesh is defined as a convective mesh, following automatically the shape changes of a conveniently parameterized body. Suitable parameterization of the body is achieved by combining the design element technique and a convenient design element. The design element in turn is defined as a, rational (tensor-product) Bezier body. It represents a general-purpose design element, serving as the geometrical data provider for the response and sensitivity analysis for virtually any finite element type.