Applied principle of minimum potential energy in analyzing buckle phenomenon of cold rolled strip

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When solving buckling type based on minimum potential energy,it is first to make hypothesis for strip buckling type.Under the simple strain condition,buckling type and strain distribution have a certain similarity,so the hypothesis is reasonable comparatively.However,under the complicated strain condition,it is difficult to give more reasonable buckling type.Moreover,the existing algorithms usually ignore the effect which the transverse stress and the shear stress have on the buckling type.After assuming strip was only affected by shear stress for the edge wave and affected by both transverse stress and the shear stress for the center wave in the paper,the buckling form of strip under simple strain situation was calculated.It was seen from the calculating result that wave height and half wavelength were smaller than those of the existing algorithms,and the wave height and half wavelength of edge wave were all bigger than those of center wave in the same stress distribution.Secondly,a more reasonable hypothesis method of buckling type for the complicated stress distribution was put forward.After analyzing,the result showed that it was more reasonable by using the optimizing algorithm. When solving buckling type based on minimum potential energy, it is first to make hypothesis for strip buckling type. Under the simple strain condition, buckling type and strain distribution have certain similarity, so the hypothesis is reasonable comparatively. condition, it is difficult to give more reasonable buckling type.Moreover, the existing algorithms usually ignore the effect which the transverse stress and the shear stress have on the buckling type. After assuming strip was only affected by shear stress for the edge wave and affected by both transverse stress and the shear stress for the center wave in the paper, the buckling form of strip under simple strain situation was calculated. It was seen from the calculating result that wave height and half wavelength were smaller than those of the existing algorithms, and the wave height and half wavelength of edge wave were all bigger than those of center wave in the same stress distribution. Secondly, am ore reasonable hypothesis method of buckling type for the complicated stress distribution was put forward. After analyzing, the result showed that it was more reasonable by using the optimizing algorithm.
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