FEATURES OF FUNCTIONING OF THE CORE MECHANISM OF DEDUCTION OF AUTOMATIC MANDREL MILL, TAKING INTO ACCOUNT THE VARIABILITY OF SYSTEM MASS

The dynamics of a system sleeve (pipe) – mandrel – rod of an automatic mill of the pipe-rolling unit was considered. The differential equation of the movement of a mandrel rod of an automatic mill was worked out taking into account the mass of mechanical system changing in time. The dynamic processes in mechanical system sleeve (pipe) – mandrel – rod is presented by coeffi cient of movement dynamism of a mandrel with a core. The features of functioning of rod system of the deduction mechanism of an automatic mill mandrel were established and parameters of dynamism of mechanical system were determined according to the change in time of mass of the rolled pipe. It is shown that at the instant appendix from the center of deformation of constant force in elastic system of mechanisms of the output part possessing a variable in time weight, the maximum dynamism coefficient isn’t equal to two. Its values monotonously change and increase during the fl uctuations of system with the increasing weight. By modeling of dynamic processes in system sleeve (pipe) – mandrel – rod taking into account the change in time of mechanical system mass, the need of stabilization of dynamism of a mandrel with a core to the level of admissible sizes was revealed for the equipment of the output part of an automatic mill.

1. Danchenko V.N., Kolikov A.P., Romantsev B.A., Samusev S.V. Tekhnologiya trubnogo proizvodstva. Uchebnik dlya vuzov [Technology of pipe production. Manual for higher educational institutions]. Moscow: Inter. Inzheniring, 2002, 640 p. (In Russ.).

2. Rozov N.V. Proizvodstvo trub. Spravochnik [Pipe production. Reference book]. Moscow: Metallurgiya, 1974, 598 p. (In Russ.).

3. Oklei L.N. Kachestvo goryachekatanykh trub [Quality of hot-rolled pipes]. Moscow: Metallurgiya, 1986, 144 p. (In Russ.).

4. Sulukhiya T.M. Adamiya R.Sh., Oklei L.N., Lomsadze D.M Working out of measures on the prevention of a mandrel bending of TPA 140 automill. In: Trudy Gruzinskogo politekhnicheskogo instituta. 1976, рр. 98–102.

5. Meshcherskii I.V. Raboty po mekhanike tel peremennoi massy [Works on the variable mass mechanics]. Moscow: GITL, 1952, 252 p. (In Russ.).

6. Bessonov A.P. Osnovy dinamiki mekhanizmov s peremennoi massoi zven’ev [Basis of mechanism dynamics with link variable mass]. Moscow: Nauka, 1967, 279 p. (In Russ.).

7. Ol’shanskii V.P., Ol’shanskii S.V. Free vertical vibration of oscilator with linear variable mass. Free oscillation of an oscillator of a linevariable mass. Vibratsiya v tekhnike i tekhnologiyakh. 2013. Issue 1 (69). pp. 37–41. (In Russ.).

8. Cveticanin L. Dynamics of Machines with Variable Mass. Taylor & Francis Ltd, 1998. 300 p.

9. Ol’shanskii V.P., Ol’shanskii S.V. Oscillator vibration modeling of a line-variable mass at impulsive loading. Vіsnik NTU “KhPІ”: Matematichne modelyuvannya v tekhnіtsі ta tekhnologіyakh. 2013, no. 37 (1010), pp. 125–130. (In Russ.).

10. Obraztsov I.F., Nerubailo B.V., Andrianov I.V. Asimptoticheskie metody v mekhanike tonkostennykh konstruktsii [Asymptotic methods in the mechanics of a thin-slab structure]. Moscow: Mashinostroenie, 1991, 416 p. (In Russ.).

11. Eugene Jahnke, Fritz Emde, Friedrich Lö sch. Tafeln höherer Funktion – Tables of higher functions, with 189 fi gures. Stuttgart 1960. (Russ.ed.: Jahnke E., Emde F., Lö sch F. Special functions. Formuly, grafi ki, tablitsy. Moscow: Nauka, 1977. 344 p.).

12. Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables. M. Abramowitz and I. A. Stegun eds. National Bureau of Standards. Applied Mathematics Series – 55, Issued June 1964. (Russ.ed.: Spravochnik po spetsial’nym funk tsiyam s formulami, grafi kami i matematicheskimi tablitsami. Abramowitz M.,Stegun I.A. eds. Moscow: Nauka, 1979. 832 p.)