Buckling and Post-buckling Analysis of Flatness Deflects in High-strength automotive sheet

Abstract

Shape defect is a common problem in the production of automobile plate. But, the wave type function used by previous scholars can not reflect the actual situation of the site well. To solve this problem, high-order trigonometric functions are used to describe wave patterns, it expresses the fact that the wave pattern does not cover the whole width. Based on the buckling theory of plates, the shape defect was investigated in this paper. Using S.Timoshenko principle of least work, a new mechanical model of longitudinal buckling was established. And the mathematic mode of critical buckling was achieved by Galerkin’s principle of virtual displacement, the path generation of post-buckling was found with Perturbation-Variational Method, and the mode of post-bucking was achieved. The rolling experiment was carried out in test rolling mill. In this experiment, variety of different shape defect model were obtained by designing different roll-shaped curves for work roll, and the mode was good in according to the analytical and numerical results.