Iterational method for the solution of inverse problems of optimization

This paper discusses a solution method for inverse problems of optimization with respect to the stability of structurally orthotropic shells for one-factor loads under conditions of significant indeterminacy in design variables. The compensation for the indeterminacy is effected by aggregating part of the variables and constructing recursive formulas using them as a basis. The realization of the design space is presented and the effect of variation of the independent variables on the optimality criteria is studied. The possibility of realizing conditional and unconditional minimums for the quality function is analyzed, and the corresponding optimal parameters are determined. The reasoning is substantiated and the effectiveness of synthesis of the shell with relative change in the geometric characteristics of the orthogonal cross sections is demonstrated.