Математическая модель напряженно-деформированного состояния реторт в процессе восстановления тетрахлорида титана
Journal Title: Математичне моделювання - Year 2017, Vol 1, Issue 2
Abstract
MATHEMATICAL MODEL OF STRESS-STRAIN STATE OF THE RETORT IN THE REDUCTION PROCESS OF TITANIUM TETRACHLORIDE Evseeva N.O., Mishchenko V.G., Bagriichuk O.S. Abstract Global titanium sponge manufacturers face a serious problem – distortion of reactors during the process of producing titanium sponge by magnesium-thermal method. Under the influence of such process reactors are early removed from service and production costs are increased. Solving this problem can significantly improve the efficiency of the titanium industry enterprises. Analysis of reactors in stress-strained state was carried out with regard to operating conditions and physical and mechanical properties of materials. Deformation of reactors is caused by variety of negative factors: uneven heating of reactors in furnace; effect of gauge argon steam pressure MPa on a side wall in reduction reaction zone; act of axial strain on flange by reactor vessel and reacting mass N depending on the type of reactor. The character of strain and hogging of reactors shows the necessity of consideration of nonlinear processes (plastic flow and fluidity) when constructing their physical-mathematical model. The purpose of the work is the stress-strain state analyze of the retort, taking into account the conditions of their operation and the physical properties of the materials. For the calculation it is necessary to use the temperature dependences of the reactor material coefficients in the system of equations. Thus as a material was chosen widely used steel AISI 321. Simulation of the process showed, that reactor wall deformation is caused mainly by thermal expansion of the material under the effect of an inhomogeneous temperature field. References [1] Mischenko V.G. Razvitie razrusheniya apparatov vosstanovleniya i primesi v gubchatom titane / V.G. Mi-schenko, S.V. Tverdohleb, O.S. Omelchenko // Visnik dvigunobuduvannya, 2004. – no 3, pp. 135 – 137. (in Russian). [2] Putina O.A. Vliyanie razlichnyih faktorov na srok sluzhbyi retort apparatov magnietermicheskogo proiz-vodstva titana / O.A. Putina, A.A. Putin, A.I. Gulyakin // Tsvetnyie metallyi, 1979. – no 9, pp. 71 – 72. (in Russian). [3] Putina O.A. Stoykost i zaschita konstruktsionnyih materialov v sredah magnietermicheskogo proizvodstva gubchatogo titana / O.A. Putina, A.A Putin, N.P. Nechaev // Tsvetnyie metallyi, 1988. – no 2, pp. 287 – 291. (in Russian). [4] Gallager R. Metod konechnyih elementov. Osnovyi / R. Gallager. – M.: Mir, 1984. – 428 p. (in Russian). [5] Segermind L. Primenenie metoda konechnyih elementov / L. Segermind. – M. : Mir, 1979. – 392 p. (in Russian). [6] Rumyantsev A.V. Metod konechnyih elementov v zadachah teploprovodnosti. / A.V. Rumyantsev. – Kaliningradskiy Gos. Univ-r, 1995. – 170 p. (in Russian). [7] Kozdoba L.A. Metodyi resheniya nelineynyih zadach teploprovodnosti. / L.A Kozdoba – M.: Nauka, 1975. – 228p. (in Russian).
Authors and Affiliations
Н. А. Евсеева, В. Г. Мищенко, А. С. Багрийчук
Keywords
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