Topology Optimization Scheme Research Articles

Structural design using cellular automata

This paper presents a shape and topology optimization scheme for structures by using the concept of a cellular automaton (CA). A design domain domain is divided into small square cells and then the thicknesses of the individual cells are taken as the design variables. Considering the cells as the finite elements, the stress analysis is performed by the finite element method. The design variables are modified by applying a local rule to the stress states of the cell and its neighbouring cells. The present scheme is applied to a two-dimensional elastic problem in order to confirm its validity.

Topology and Shape Optimization of Continuum Structures by Genetic Algorithm.

In this paper, we discuss the topology and shape optimization scheme of continuum structures by using genetic algorithm (GA). The profiles of the structures are defined by the cross-section between the 3 D spline function surface and the 2 D plane. The genetic representation of the structure is defined by the series of the coordinates of the control points. Then, the genetic operations are applied for determining the profile of the structure satisfying the design objectives. The present scheme is applied to minimum weight design of two dimensional elastic problems in order to confirm its validity.