COMPARISON OF ANALYTICAL AND EXPERIMENTAL DETERMINATION AND OPTIMIZATION OF BENDING FORCE

<p style="text-align: justify;">Analytical solutions to a problem are a combination of natural laws, mathematical rules and approximations. The only way to <br />determine whether analytical solutions correspond to reality is experimental verification. In this paper, approximate analytical <br />solutions of the purely plastic bending force with and without strain hardening of the material are analyzed. The experiment was performed under production conditions according to the rules of the experimental plan, where the input parameters are the thickness and width of the sheet, and the output is the bending force. It was found that the experimental results are close to the analytical solution without strain hardening of the material, i.e. that the hardening of the material is negligible. Based on the experimental plan, an adequate nonlinear mathematical model was obtained, suitable for optimization. The obtained optimal solutions provide the input parameters for the minimum and maximum bending force. It was found that the maximum and minimum bending force are obtained for approximately the same thickness, but for different sheet widths.</p>