Application of Genetic Algorithm in Truss Optimization with Interval Variables

Abstract

The optimal design of the structure is often based on the determined parameters. However, due to the limitation of standardization or process, the parameters of the final product may not be based on the calculated optimal design value. A new method for solving the optimal solution interval of truss structure is proposed, and the range and boundary of the optimal solution are given. Assuming that the structure is uncertain, the uncertain design variables are expressed as interval parameters. Using interval method, a mathematical model of interval optimization design is given. The interval optimization problem is equivalently transformed into a deterministic one. Genetic algorithm is applied to solve this optimization problem, and finally the optimal solutions and the corresponding interval values are obtained. The interval optimization method is applied to a truss structure, which proves the effectiveness of the method.