Study of the adaptive optimal design method based on design variables space

Based on a study of optimization design method and distribution of design variables space, an adaptive optimal design method of the design variable space is established, and the problem about design variable spatial extent choice is solved. In this method, the conception of aggregation is built, which is used to describe the statistical distribution rule of the design variables spaces. This rule is used to adjust the design variables spaces automatically and to reconstruct the design variable during the optimization. The design variable space extent is adapted during the optimization by this method. Optimal solutions for requirements are got in a larger spatial scale, at the same time the efficiency is improved by reconstruction of design variables. In this paper, the optimal design problems of NACA0012 and NLF(1)0416 airfoils are solved by the adaptive optimal design method of the design variable space, the optimal design results demonstrate the optimal design method is feasible. At the same time, in comparison with the stable optimal design method of the design variable space, the results demonstrate that this optimization method can search the optimal solutions in a larger spatial scale and in a higher ability.