Shape optimal design of structures: an efficient shape representation concept

This paper describes a shape representation concept that may be used in gen eral shape optimization procedures. It relies on the assumption that the fi nite element mesh is defined as a convective mesh following automatically t he shape changes of a conveniently parameterized body. Suitable parameteriz ation of the body is achieved by combining the design element technique and a convenient design element. The design element is defined as a rational B ezier body. It represents a general-purpose design element that may serve a s the geometrical data provider for the response and sensitivity analysis f or virtually any finite element type. Practical implementation of the propo sed approach For space frame structures is discussed in detail. The validit y of the proposed approach as well as the use of a body-like design element s are illustrated by three numerical examples. Copyright (C) 2000 John Wile y & Sons, Ltd.