A novel structural optimization technique via uniform design method

Abstract

The uniform design method was adopted and developed to take structural optimization. A novel algorithm based on number theory, named residual table, was established to decide the optimal direction in process of optimization. The maximum of function was studied to verify its feasibility. The computed results with the developed method show the optimization solution is independent on initial iteration point and is the best solution within the whole variable range. The constructed method was applied to optimize the stiffness of a continue beam with varied height. Compared with the solution via complex variable differential method, the established method here gives more accurate result. All these show that the developed method is efficient to tackle structural optimization.