外接超球法による最適設計 : 振動固有値最大化と重量最小化への応用

概要

論文の詳細を見る
A new formulation is proposed to determine the minimal objective function under inequality constraint conditions. Taylor-series expansion of the objective function with respect to design variables is employed for the approximation up to the quadratic terms by use of the Hessian matrix, while linear approximation is employed for the inequality constraint conditions. The objective function is standardized on the basis of the eigenvalue analysis of the Hessian matrix so as to form a hypersphere in the design variable space. The center of the hypersphere is used directly for the minimization in the case that it is contained inside the feasible domain. In the case that the center is outside the feasible domain, the minimal objective function is searched for as the contact point of the hypersphere and feasible domain. The numerical examples in problems of beam vibration show that the proposed method is straightforward and efficient to search for minimal objective function.
一般社団法人日本機械学会の論文
1992-10-25