Shape optimal design of structures: an efficient shape representation concept

This paper describes a shape representation concept that may be used in general shape optimization procedures. It relies on the assumption that the nite element mesh is de ned 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 is de ned as a rational B ezier body. It represents a general-purpose design element that may serve as the geometrical data provider for the response and sensitivity analysis for virtually any nite element type. Practical implementation of the proposed approach for space frame structures is discussed in detail. The validity of the proposed approach as well as the use of a body-like design elements are illustrated by three numerical examples.