The Quasi-Newton method has proven to be the most effective optimization method. The purpose of this paper is to apply this numerical procedure for optimization problems as well as large deflection analysis and animation. A FORTRAN program developed to calculate constrained problems is used as the basic code within an iterative nonlinear adaptive analysis. The new numerical procedure calculates the displacements of an elastic structure due to given loading conditions. Then the displacements are added to the joint coordinates. In the deformed position the degrees of freedom of the structure are supported and the negative displacements are applied as loadings, to move the structure back to the old undeformed position. The difference of the reaction forces in both positions specifies the geometric nonlinear adaptive loading conditions. These additional forces are applied in an iteration procedure, until equilibrium is achieved. The software ME-BANK (Mechanical Engineering Program-Bank), written in C-language, was developed, to execute MSC-NASTRAN and a constrained optimization FORTRAN-code via the SYSTEM-function within an iteration procedure.

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