TOPOLOGY OPTIMIZATION DESIGN FOR DISCRETE STRUCTURES USING GENETIC ALGORITHM

Genetic Algorithm (GA) is applied to solve the topological design optimization problems of discrete structures including truss structures and frame structures. On the basis of GA, a uniform mathematical model for topology optimization design of discrete structures subject to strength, stability, and displacement constraints under multiple loading conditions is presented by introducing topological design variables and modifying material elastic moduli of those inexistent bars. The given mathematical model is applicable to truss structures as well as frame structures, and singular optimization problems of discrete structures can also be resolved by using this model. A GA-based optimization method for the topological design of discrete structures with the uniform mathematical model is proposed. Several examples are given to demonstrate the effectiveness and the convenience of the proposed optimization method for the topological design of discrete structures including truss structures and frame structures.