Моделирование формоизменения металла в вытяжных калибрах системы «овал - круг»
Journal Title: Математичне моделювання - Year 2017, Vol 1, Issue 2
Abstract
THE SIMULATION OF STRAINED CONDITION METALL IN OVAL - ROUND PASSES Shtoda M.N. Abstract In the present paper, it is proposed to use the variational principles of continuum mechanics based on the minimum properties of the actual velocity field when solving the problem of metal forming during rolling in calibers. The most developed are the two methods for solving the variational problems of metal forming now - the finite element method and the Ritz method. The commercial finite-element method programs is associated with a significant cost, herewith highly qualified specialists are attracted for modeling, researching and processing the data obtained what requires additional costs. On the other hand, optimization of the production process on the basis of only experimental studies is associated with significant time and financial costs, and therefore also ineffective. So at present, high-speed, simplified computer packages for the automated design of new and improving working calibrations for rolling different profiles are becoming relevant. The object of this paper is design of the universal mathematical model of metal forming during rolling in oval - round passes. Before determined the shape change of metal during rolling in system from oval - round caliberes, the profile of the bar and the caliber contour are replaced by equivalent rectangular cross-sections by the method of the corresponding bar. Then the variational problem is solved by the method of Ritz. And the elongation coefficient is found as result. The width and the shape of side surface bar after rolling is determined wich based on the area of the finished profile obtained as a result of solving the variational task. The program was elaborate for determining shape change of bar during rolling in round and oval calibers on base of proposed universal mathematical model of the rolling process of simple profiles in the oval - round passes. The program allows to build a contour of bar and a caliber filled with metal. The mathematical model can be used for researching shape change of metal during rolling on bar and wire rod mills in system from oval - round calibers. Also, this model is recommended for use as a calculation module in determining the deformation of the bar during rolling in high-speed wire rod blocks with a common drive. References [1] Solod V.S., Kulagin R.Y., Beygelzimer Y.Y. Universalnaya matematicheskaya model formoizmeneniya metalla v vytyazhnykh kalibrakh [Universal mathematical model of metal shaping in exhaust calibers]. Stal,. 2006, no. 8, pp. 16-18. (In Russ.) [2] Händemark M. “Improved roll pass design for long products with WICON,” MILLENNIUM STEEL, 2011, pp. 144-151. (references) [3] Händemark M. “Improved roll pass design for long products with WICON” Available at: http://www.morgardshammar.se/pdf/wicon.pdf. [4] Solod V. S., Benetskiy A.G., Mamayev A.N. Modelirovaniye protsessa sortovoy prokatki s pomoshchyu programmnogo kompleksa «Sort-pro» [Modeling of the process shape rolling with the help of the software complex "Sort-pro"] Obrabotka materialov davleniyem. Sbornik nauchnykh trudov Donbasskaya gosudarstvennaya mashinostroitelnaya akademiya, 2010, no. 3 (24), pp. 60-63. (In Russ.) [5] Ilyukovich B. M., Izmaylova M.K., Nekhayev N.Y. Teoreticheskiye osnovy mekhaniki deformiruyemoy sploshnoy sredy [Theoretical Foundations of Mechanics of a Deformable Continuous Medium], vol 2, 2007, 306 p. (In Russ.)
Authors and Affiliations
М. Н. Штода
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