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| DIFFERENTIAL EQUATION OF TENSION FOR VARYING STRIP SECTION AND MATHEMATICAL MODEL FOR DYNAMIC DIGITAL SIMULATION OF COLD TANDEM ROLLING |
| Zhang Shutang and Liu Yurong (Central Iron and Steel Research Institute; Minstry of Metallurgical Industry) |
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Cite this article:
Zhang Shutang and Liu Yurong (Central Iron and Steel Research Institute; Minstry of Metallurgical Industry). DIFFERENTIAL EQUATION OF TENSION FOR VARYING STRIP SECTION AND MATHEMATICAL MODEL FOR DYNAMIC DIGITAL SIMULATION OF COLD TANDEM ROLLING. Acta Metall Sin, 1981, 17(2): 206-212.
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Abstract The simplified Phillips' differential equation of tension which derived from Hooke's law on the assumption of uniform strip section is conventionally used up to date for the computation of cold tandem rolling. However, the strip operated through the stands in rolling practice is not uniform in section. An improved empirical differential equation of tension especially for varying strip section has been proposed as:dt_(fi)=E/h_i(l_1/h_i+l_2/H_(i+1))(v_(b(i+1))-v_(fi)dτ under the consideration of influence of step disturbance or dynamic gage change. Based mainly upon this equation, it was made of a mathematical model for dynamic digital simulation to trace the position of the stepped section. Certain examples of the simulation computation on digital computer showed such marked error as it is still calculated by the equation of equal section. While a satisfactory representation of the dynamic process may be resulted by the equation aforementioned.
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Received: 18 February 1981
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