Method of solving the inverse problem in the process of panel stretch-forming
Modeling of the stretch-forming technology on a die for manufacturing of double curvature sheaths is presented. The precision of the part shape obtained depends on the accuracy of the computed and manufactured form of the tool (punch), which determines the anticipatory shape of the panel. The anticipatory shape should provide the given residual curvature of the panel after its release from the force tool. The problem of determining this form of the tool for a given residual curvature of the panel is an inverse problem. Mathematical models and numerical methods for solving inverse problems of shaping monolithic panels by stretch-forming on a die have been developed. The algorithms implemented in MSC.Marc allow to calculate the required punch shape. The results of iterative methods convergence for solving inverse problems are considered.