A Pseudo-Linearization Method for Shape and Topology Optimization

Abstract

This paper presents a numerical solution technique for topology and shape optimization including shearing deformation in plane. This technique is composed of the following three : (1) an efficient pseudo- linearization method instead of incremental calculation for the shearing deformation, (2) an asteroid type of structuring element for executing effectively the (1), and (3) an accurate layout of void elements for producing the structure shapes with minimum weight and high stiffness. The validity of the technique is confirmed from the optimum topological shapes of two-dimensional finite element models.