Computer Aided Design of Civil Structures - Topology Optimization in Statics and Dynamics

Abstract

The objective of the paper is structural topology optimization in statics and dynamics. The topology is defined on the base of the material distribution in elements of the structure. The optimal topology design is defined as an optimization problem. The objective is the maximum stiffness of the structure in statics and maximal natural frequency in dynamics of the structure. The constraints of the optimization problem are related to the mass of the structure and to the loading and boundary conditions of the structure. The evolutionary method - genetic algorithm is applied for optimization problem solution. Examples on optimal topology of structures in statics and dynamics are presented. The obtained results are comparable with results based on experience of civil engineers. The structural topology optimization does not use experience from structural evolution and it is applicable for design of new structures - prototypes.