Abstract
Edge waves are the shape defects often encountered in the rolling process of automobile plates. The previous wave shape modal function cannot well reflect the situation that the on-site edge wave only occurs in a local area of the edge. In response to this problem, this article uses high-order trigonometric functions to describe the edge waves, and the obtained wave shape modes are consistent with the actual edge waves on site. On this basis, the energy method is used to calculate the critical buckling conditions of the edge waves. And using the perturbation method, the post-buckling path calculation model of the edge wave is established, and the post-buckling path of the edge wave is obtained. In order to verify the accuracy of the analytical calculation model, a finite element method is used to establish a simulation calculation model of the edge wave, and the buckling mode consistent with the scene was obtained. At the same time, the critical conditions of buckling are basically consistent with the analytical calculation results, reflecting the correctness of the analytical calculation model.
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