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1 61771 DOI:101850/ ,,, - -, -,, -,,, -,, -, - -50, - :, -,, -,, , :,,,,,, -50, (),, - (), - [1], - - [],,,, -,, D, d, k, - 1, -, - ( 1 ) ( 1 ) (0;d), 1 (;D), -, 1 k, 1 1) wwwvesnikmaguru 61

2 y ab b a b ab sin b k, a1cos b Dd () 1 : ; ; ; ; ; - cos y x a bx a d (1) a 0, b 0 y 0 d, y D, acos b ad D y x ab sin bx, y k ab sin b k y 0 0,, y x 0 0, ab sin bx0 0 x0 b -, -,, : y ab bx cos 0 x, - b b () D d a, () 1 cos a () Dd 1 cos sin k (4) c 1 cos sin c g, k c D d (4) (5) () [ 0, 0 +r] (6) 1 1 max, (7), r 0 0 [, 4] (5) im, (8) n n n n1, n 1,, (9)

3 c 1cos sin - (5) 0 1, 0 1 r 0 0 4, ,14k 0, - 0D d40, 1,6 0,86 0 5,4, r 0,75, - [, 4] -, (5) - (9), n n n 1, n1,, 1 b, b, () a - (1), y ax bx cx d, -, : y 0 d, y D, y0 0, y k y ax bx c y 0 0, c 0 y ax bx d, d, y a b k, a b : a b k, a bdd : k Dd a, kdd b wwwvesnikmaguru 6 b x a k Dd x k Dd b x a k Dd x k Dd 4,1, 0,14 k 0,1, 50 d 90, 60 D 10 d D : 0; D 84, d 60, k 0,1, - 0, , - 88, ,1 00-, - 86, , - - Quick Basic - [1], ) -50 ()

4 ( ) , - - 1,, - :, ,, - - // :, :, Yuri F Kurmachev, Rusan E Sokoov, Denis S Voroshiov, Vadim M Bespaov, Vadimir V Moscvichev The anayica dependence of he fiing bies vaue o a given reaive degree of deformaion during cod roing of ubes // Journa of Siberian Federa Universiy 01 5 (7) // : -, : ;, , : -, :, INFORMATION ABOUT THE PAPER IN ENGLISH GAUGE IDLE ZONE PROFILE IN COLD ROLLING PIPE MILLS Yuri F Kurmachev PhD (Eng), Associae Professor Siberian Federa Universiy, Krasnoyarsk, Russia E-mai: kurmach@mairu DOI:101850/ Absrac Probem Saemen (Reevance): This paper deas wih a probem of buiding a smooh curve connecing he beginning and he end of he gauge ide zone under predefined iniia condiions Theoreicay, here can be an unimied number of ways o connec he wo poins Eemenary funcions, which have heir infecion poin in he ide zone, offer he easies ways of buiding such a curve The reevance of his paper incudes improved kinemaics of a machine-oo used for gauge reamen, which is subjec o he greaes oad when passing he infecion poin Objecives: The objecives of his work incude a minimized derivaive of he seeced funcion in he infecion poin and minimizing he greaes vaue of he funcion when i approaches he poin where he working area sars Mehods Appied: This paper is based on mahemaica mehods, incuding he ieraion mehod appied for cacuaing he parameers of he arge curve The paper is aso based on he Liphiz heorem saing ha his probem can ony have one unique souion Cosinusoid was chosen for he arge curve The second curve ha connecs he poins concerned is a cubic paraboa The paper ooks a he maximum veociy wih which he funcion increases in he ide zone, which sees is greaes oad when he cam moves in he LZ-50 machine, as we as a he peak poins of boh curves in he ide zone Findings: Foowing he findings and he resus of numerica experimens, he auhors finay chose o use he cubic paraboa, as i has a ower maximum vaue compared wih he cosinusoid and a ower vaue of he derivaive funcion in he infecion poin This appears o be he firs research effor ha was based on a concree funcion and a minimized oad presen in he ide zone in a gauge reamen operaion The mehod of cacuaing he ide zone gauge by connecing he working area sar and end poins in he form of a parabo

5 a under reevan iniia condiions, has found a successfu appicaion in he LZ-50 machine insaed a Krasnoyarsk Meaurgica Works Pracica Reevance: The pracica reevance of his paper incudes an exended ife of cosy machinery, ie he LZ-50 machine in his case Keywords: Pipe, cod roing of pipes, gauge ide zone, cosinusoid, paraboa, cacuaion, LZ-50 machine References 1 Kurmachev YuF, Skomoroshchenko SI, Shamraev VN Meodika proekirovaniya i izgooveniya ruchia kaibrov sanov KhPT Tekhnoogicheskaya rekomendasiya [The mehod of designing and manufacuring die grooves for cod pipe mis Technica recommendaions] Moscow: VILS, 1985, 1 p (In Russ) Perakov YuV, Pasechnik VA, Marynov NA Designing CNC machine oo pahs for he cod pipe mi groove grinding operaion Vosochno-evropeyskiy zhurna peredovykh ekhnoogiy [Easern European journa of advanced echnoogy] 008, no 6 Vokov EA Chisennye meody [Numerica mehods] Moscow: Nauka, 198, 54 p (In Russ) 4 D'yachenko VF Osnovnye ponyaiya vychisienoy maemaiki [Basic conceps of numerica mahemaics] M: Nauka, 1977, 16 p (In Russ) 5 Yuri F Kurmachev, Rusan E Sokoov, Denis S Voroshiov, Vadim M Bespaov, Vadimir V Moscvichev The anayica dependence of he fiing bies vaue o a given reaive degree of deformaion during cod roing of ubes Journa of Siberian Federa Universiy 01 5(7), pp Orov GA Ways of opimising cod pipe mi oo caibraion Sa [See], no 1, 004, pp 8 85 (In Russ) 7 Teerin PK Teoriya periodicheskoy prokaki [The heory of cod piger mi echnoogy] Moscow: Meaurgiya, 1978 (In Russ) 8 Osada YaE Osnovnye voprosy khoodnoy prokaki rub: Avoref disserasii kand ekhn nauk [The fundamena probems of cod pipe mi echnoogy Exended absrac of PhD disseraion] Dneproperovsk; Moscow: 1947 (In Russ) 9 Tseikov AI, Grishkov AI Teoriya prokaki [The heory of roing] Moscow: Meaurgiya, 1970 (In Russ) 10 Gubkin SI Pasicheskaya deformasiya meaov [Pasic deformaion of meas] Moscow: Meaurgizda, 1961 (In Russ) Received 1/05/15 // doi:101850/ Kurmachev YuF Gauge ide zone profie in cod roing pipe mis Vesnik Magniogorskogo Gosudarsvennogo Tekhnicheskogo Universiea im GI Nosova [Vesnik of Nosov Magniogorsk Sae Technica Universiy] 016, vo 14, no 4, pp doi:101850/ wwwvesnikmaguru 65