Take the moving strip between two stands of some cold tandem rolling mill in rolling process as subject investigated, according to the Poisson-Kirchhoff sheet theory, the vibration model of the moving strip in the rolling process was established. Model of distributed stress was built based on rolling theory. And then, vibration model of moving strip with distributed stress was established. The partial differential equation was discreted by Galerkin truncation. The natural frequency and stability of the moving strip were investigated and simulation in time domain was made by numerical method. Take the moving strip between the second stand and third stand of some 1660 tandem mill as subject investigated, distributions of stress, natural frequencies and stability of moving strip were determined under six different rolling conditions which are “uniform distribution of stress”, “flat roll flat”(crown of entrance strip and crown of exit strip are all 0 at the second mill), “flat roll convex”(crown of entrance strip is 0 and crown of exit strip is 20μ), “flat roll concave”(crown of entrance strip is 0 and crown of exit strip is -20μ), “convex roll flat”(crown of entrance strip is 20μ and crown of exit strip is 0) and “concave roll flat”(crown of entrance strip is -20μ and crown of exit strip is 0). At last, three-dimension dynamic simulation was made, the moving law of the strip was determined. This model can be used to study the stability of moving strip, depress the shape wave of strip and develop new rolling technology from the aspect of dynamics theory.
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