中文摘要：

针对冷轧过程中常见的中浪板形缺陷,建立其产生全过程也即屈曲及后屈曲变形的解析计算的力学模型和求解方法,为了验证计算结果,在试验轧机上进行试验轧制研究。在试验中,通过设计不同的工作辊初始辊形轧制出各种不同大小的中浪浪形模态,并实测得到中浪浪形的几何参数和对应有关的轧制试验的设备与工艺参数以及轧件的规格与材质参数。运用所建立的解析计算模型和方法,针对试验轧制工况,通过基于能量原理的前屈曲应力场分析获得其临界屈曲条件,通过应用摄动变分方法的后屈曲路径求解得到后屈曲浪高并与轧制试验获得的浪高基本吻合。同时,再运用ANSYS有限元对试验轧制工况进行仿真分析,获得与试验轧制出的浪形基本一致的屈曲浪形模态,并得到此模态下的屈曲临界条件,既证明了有限元模型及计算结果的正确,也进一步验证了解析计算结果。

英文摘要：

The mechanism and deformation behavior of the thin strip central buckling are studied by using analytical and experimental methods.The analytical model of thin strip buckling and post buckling is established in order to verify the results of the analytical model,the rolling experiment is carried out in test rolling mill.In those experiments,a variety of different central buckling models are obtained by designing different roll-shaped curves for work roll,and the geometric parameters of the central buckling are measured.The corresponding parameters of rolling equipment and the aluminum sheet are also obtained.By using the analytical model,the critical central buckling stress for the conditions of rolling experiment is achieved on the basis of the principle of least work,the path generation of post buckling is found with perturbation-variational solution,and the model of the post buckling is in good agreement with the result of experiment.Simulation analysis for the conditions of rolling experiments is established by using ANSYS,the model of buckling is obtained,which is in good agreement with the experimental results,and the critical buckling stress of this buckling model is also achieved,thus proving the correctness of the finite element model and its calculation results,and further verifying the analytical calculation results.