结构综合的曲线寻优近似解析方法

本文首次在结构优化领域应用曲线寻优近似解析方法，数值实验表明本文方法的效率较高

APPROXIMATE ANALYTICAL METHOD OF CURVILINEAR SEARCH FOR STRUCTURAL SYNTHESIS

in this paper the approximate analytical method is applied to structural optimizations for the first time. Adopting an approximate problem of the separable variables' programming to approach the primal problem of structural optimizations, we establish ordinary differential equations describing the curve of ascending the dual objective function. Based on the second order Taylor's expansion, the approximate curve of dual variables is obtained analyticallyt in which the one dimensional search is performed. Numerical experiments show that the method has higher computational efficiency than various methods of structural optimization.