Mathematical model of the simple process of rolling under the conditions of the hypothesis of flat sections
- 27 Downloads
The article presents a mathematical model of the process of plastic deformation of a strip in the simple process of rolling under conditions of uniform deformation, The model contains a description of the components of the three-dimensional field of the speeds of displacement of the deformed metal, it takes into account the vectorial nature of the frictional forces on the contact surface of the metal with the roll, and the article shows how to calculate the components of the equation of energy balance, spread, draft, the coefficients of distribution of deformation and forward slip. On the basis of an analysis of the results of computer calculation and their comparison with the experimental data the article makes suggestions for the optimization of the simple process of rolling.
KeywordsExperimental Data Mathematical Model Plastic Deformation Energy Balance Contact Surface
Unable to display preview. Download preview PDF.
- 1.V. N. Vidrin, “25 years of the department of rolling of the Chelyabinsk Polytechnic Institute,” in: Theory and Technology of Rolling, Issue 230, Chelyabinskii Polyteknicheskii Institut, Chelyabinsk (1979), pp. 4–12.Google Scholar
- 2.I. Ya. Tarnovskii, “Variational methods in the theory of metal forming,” in: Metal Forming, Issue 122, Ural'skii Politekhnicheskii Institut, Sverdlovsk (1961), pp. 234–242.Google Scholar
- 3.A. V. Chus, L. P. Trusan, M. M. Ibragimov, and A. L. Viktorov, “Experimental investigation of the deformation of the strip in simple rolling” [in Russian], Deposited at the Institute Cheremetinformatisya, March 15, 1983, No. 1929 ChM-D83, Dnepropetrovsk (1982).Google Scholar
- 4.B. E. Khaikin, “Determination of the free boundaries of the center of deformation in variational problems of stationary change of shape,” Izv. Vyssh. Uchebn. Zaved., Chernaya Metallurgiya, No. 7, 82–86 (1987).Google Scholar
- 5.V. A. Evstratov, Theory of Metal Forming [in Russian], Vyshcha Shkola, Kharkov (1981).Google Scholar
- 6.A. I. Tselikov, G. S. Nikitin, and S. E. Rokotyan, Theory of Longitudinal Rolling [in Russian], Metallurgiya, Moscow (1980).Google Scholar
- 7.V. I. Zyuzin and A. V. Tret'yakov, ed., Theory of Rolling: Handbook [in Russian], Metallurgiya, Moscow (1982).Google Scholar
- 8.A. V. Chus and A. I. Chekmarev, “Analysis of the state of stress of the metal and indices of the frictional forces under conditions of maximal nip in rolling,” Izv. Vyssh. Uchebn. Zaved., Chernaya Metallurgiya, No. 9, 131–132 (1987).Google Scholar