具有初始翘曲缺陷冷轧薄带钢板形瓢曲变形行为研究
ANALYSIS OF BUCKLING DEFORMATION FOR THIN COLD-ROLLED STRIP WITH INITIAL WARPING DEFECT
-
摘要: 针对薄带钢冷轧生产过程中出现的翘曲复合瓢曲板形缺陷,应用扁壳理论和伽辽金虚位移原理,建立了非均匀载荷作用下屈曲变形解析计算模型,求解获得了具有初始翘曲缺陷的带钢再发生瓢曲变形的屈曲临界载荷和临界波长,讨论分析了初始翘曲对瓢曲变形的影响规律。计算结果表明,随着带钢翘曲程度的增大,瓢曲变形的屈曲临界载荷增大,即越难出现瓢曲缺陷;当翘曲为C翘缺陷时,中浪型瓢曲的屈曲临界波长随翘曲值的增大而增大,边浪型瓢曲的屈曲波长则随翘曲值的增大而减小;当翘曲为L翘和四角翘时,中浪和边浪型瓢曲的临界波长随着翘曲值的增大而减小。在实验轧机上进行轧制实验研究,通过设计工况在铝板轧制中获得了翘曲复合瓢曲的板形缺陷模态,验证了解析计算方法的正确性。同时,运用ANSYS有限元法对实验轧制工况进行仿真分析,获得了与实验结果基本一致的翘曲复合瓢曲的板形缺陷模态,和与解析计算结果吻合良好的屈曲临界条件,进一步证明了解析计算结果的准确性。Abstract: The mechanism and deformation behavior of warping composite buckling defects in a thin cold-rolled strip were studied. Based on the theory of shallow shells and Galerkin’s virtual displacement principle, the analytical model of buckling for the strip with an initial warping defect was established, the critical buckling load and critical wavelength were obtained, and the influence rules of buckling affected by a warping defect were analyzed. The results show that the critical buckling load increases with the increase of the warping value. Under C warping, the critical wavelength of center buckling increases with the increase of the warping value, but the critical wavelength of edge buckling decreases with the increase of the warping value. Under L warping and C-L composite warping, the critical wavelength of center buckling and edge buckling decrease with the increase of the warping value. The mode of warping composite-buckling defects was obtained by designing cold-rolling experiments in a test mill, which proved the correctness of the analytical model. The simulation analysis for the conditions of rolling experiments was established by using ANSYS, the model of buckling was obtained, which was in a good agreement with the experimental results, and the critical buckling conditions of this buckling model were also achieved, which further verified the analytical calculation results.