THE INVESTIGATION OF THE MAXIMUM POSITION IN CONTACT NORMAL STRESSES RELATIVE TO THE NEUTRAL PLANE BY THE COLD ROLLING
https://doi.org/10.17073/0368-0797-2014-4-21-24
Abstract
Ascertained data as to the character of the contact stresses distribution have been obtained thanks to the application of the ascertained solution for the differential equation of longitudinal forces’ balance by the cold rolling. The mentioned solution takes into account the kinematics particularities of a deformation zone. These data have been used to determine the position of the maximum in contact of normal stresses relative to the neutral plane. It has been established that the section of the maximum in contact normal stresses is always situated in the backward slip zone and is substantially behind the neutral plane. This fact corroborates conclusions about the discrepancy of these two sections made earlier by A. Nadai, A.A. Korolyov and A.I. Tselikov. It represents the answer to one of the least studied questions in the up-to-date theory of the thin-sheet (cold) rolling. The qualitative data about the influence of technological parameters of the cold rolling process without tension upon the situation of the maximum for epures of the contact normal stresses relative to the neutral plane have been presented in the paper as well as their analytical treatment.
About the Authors
Ya. D. Vasilev
Ukrainian National Metallurgical Academy (Dnepropetrovsk, Dnepropetrovsk region, Ukraine)
Ukraine
Dr. Eng., Professor
Ukraine
Dr. Eng., Professor
M. I. Zavgorodniy
Ukrainian National Metallurgical Academy (Dnepropetrovsk, Dnepropetrovsk region, Ukraine)
Ukraine
Postgraduate
Ukraine
Postgraduate
D. N. Samokish
Ukrainian National Metallurgical Academy (Dnepropetrovsk, Dnepropetrovsk region, Ukraine)
Ukraine
Ukraine
Postgraduate
References
1. Tselikov A.I. Osnovi teorii prokatki (Fundamentals of the rollings’ theory). Moscow: Metallurgiya, 1965. 247 p.
2. Tselikov A.I., Nikitin G.S., Rokotyan S.E. Teoriya prodol’noy prokatki (Theory of longitudinal rolling). Moscow: Met-allurgiya, 1980. 318 p.
3. Nadai A. Journal Applied Mechanics. № 6 (1939). Pp. 21 – 23.
4. Korolev A.A. Novie issledovaniya deformatsii metalla pri pro-katke (New metal deformations’ researches during rolling). Mos-cow: Mashgiz, 1953. 266 p.
5. Vasilev Ya.D. Izv. vuz. Chernaya metallurgiya. № 5, 2001. Pp. 19 – 23.
6. Vasilev Ya.D., Minaev A.A. Teoriya prodol’noy prokatki. Uchebnik dlya magistrantov VUZov (Theory of longitudinal rolling. Tutorial for graduate universities). Donetsk: UNITEKh, 2010. 456 p.
7. Vasilev Ya.D., Konovodov D.V., Dementienko A.V. V kn.: Udoskonalennya protsesіv і obladnannya obrobki tiskom v metalurgії і mashinobuduvannі: Tematichniy zb. nauk. prats’ (Improving processes and equipment fabrication metallurgy and mechanical engineering: Thematic collection sciences works). Kramators’k: DGMA, 2002: Pp. 277 – 283.
8. Vasilev Ya.D., Konovodov D.V., Zavgorodniy M.I. i dr. Metallurgicheskaya i gornorudnaya promyshlennost’. № 7, 2012. Pp. 218 – 222.
9. Bakhvalov N.S. Chislennye metody (Numerical methods). Moscow: Nauka, 1973. 632 p.
10. Korolev A.A. Konstruktsii i raschet mashin i mekhanizmov pro-katnykh stanov. 2-e izd., pererab. i dop. (Constructions and payment machinery mills. 2nd ed., Rev. and add.) Moscow: Metallurgiya, 1985. 376 p.
11. Tret‘yakov A.V. Teoriya, raschet i issledovaniya stanov kholodnoy prokatki (Theory, research and calculation of cold rolling mills). Moscow: Metallurgiya, 1966. 255 p.
12. Polukhin P.I., Nikolaev V.A., Polukhin V.P. i dr. Kontaktnoe vzaimodeystvie metalla i instrumenta pri prokatke (Con-tactability metal interaction and instruments during rolling). Moscow: Metallurgiya, 1974. 200 p.
13.
Review
For citations:
Vasilev Ya.D., Zavgorodniy M.I., Samokish D.N. THE INVESTIGATION OF THE MAXIMUM POSITION IN CONTACT NORMAL STRESSES RELATIVE TO THE NEUTRAL PLANE BY THE COLD ROLLING. Izvestiya. Ferrous Metallurgy. 2014;57(4):21-24. (In Russ.) https://doi.org/10.17073/0368-0797-2014-4-21-24
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