doi: 10.17586/2226-1494-2017-17-3-525-542


MATHEMATICAL AND NUMERICAL MODELING OF FREE TURNING SEGMENTS OF SELF-REGULATED STATIC-DYNAMIC GAS BEARING

V. N. Beschastnyh, M. P. Bulat, I. A. Volobuev, A. A. Gorbachev


Read the full article  ';
Article in Russian

For citation: Beschastnyh V.N., Bulat M.P., Gorbachev A.A., Volobuev I.A. Mathematical and numerical modeling of free turning segments of self-regulated static-dynamic gas bearing. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2017, vol. 17, no. 3, pp. 525–542 (in Russian). doi: 10.17586/2226-1494-2017-17-3-525-542

Abstract

Subject of Research.The paper deals with the study of a self-regulating radial gas-dynamic bearing. Methodology for its calculation and design is presented. We have developed the modeling methods for the bearing surface rotational segments stable in angle of rotation, load and rotor speed. We have also developed a numerical method for the segment position determining when the zero moments are acting on it and the method of the segment stability analyzing in this position. Main Results. A technique for determining the stable equilibrium position of a segment was described. For different values of the lubricating layer average thickness and the speed of the shaft, the values and direction of the torque on the segment and the resultant forces acting on the segment were determined. The pressure plots in the lubricating layer of the segment were obtained. Parametric dependences of the design characteristics of the bearing on the load on the segment and on the rotational speed of the shaft were defined. Practical Relevance. The developed calculation technique can be used in the design of hybrid air bearings during the selection of the segment rotation axis position. The rotation of the segments enables to extend the range of self-regulation of air bearings and, within certain limits, to parry the overloads that occur on the shaft.


Keywords: numerical simulation, self-regulating radial static-dynamic gas bearing, segment steady position, net force

Acknowledgements. This work was supported by the Ministry of Education and Science of the Russian Federation (agreement No. 14.578.21.0203, ID RFMEFI57816X0203 for Applied Scientific Research).

References
1.     Smirnova O.S., Bulat P.V., Prodan N.V. Application of the guided gazo- and hydrostatical bearings in the turbopump aggregates of multiple combined LRE. Fundamental'nye Issledovaniya, 2013, no. 4–2, pp. 335–339. (In Russian)
2.     Sheinberg S.A. Zhed' V.P. Shisheev M.D. Sliding Bearings with Gas Lubrication. Moscow, Mashinostroenie Publ., 1969, 336 p. (In Russian)
3.     Constantinescu V.N. Lubrificatia Cu Gaze. Bucuresti, 1963, 633 p.
4.     Rippel H.C. Cast Bronze Hydrostatic Bearing Design Manual. Cleveland, 1963.
5.     Gas Lubricated Bearing. Eds. N.S. Grassam, J.W. Powell. London, Butterworth, 1964.
6.     Kotlyar Ya.M. Asymptotic solutions of the Reynolds equation. Mekhanika Zhidkosti i Gaza, 1967, no. 1, pp. 161–165. (In Russian)
7.     Zablotskii N.D., Karyakin V.E., Spienkov I.E. Spherical gas bearing with forced supercharged. Mekhanika Zhidkosti i Gaza, 1970, no. 3, pp. 147–154. (In Russian)
8.     Loitsyanskii L.G., Stepanyants L.G. Hydrodynamic theory of spherical suspension. Trudy LPI, 1958, no. 198, pp. 89–98. (In Russian)
9.     Zablotskii N.D. Linearization of boundary conditions in the theory of air suspensions. Trudy LPI, 1961, no. 217, pp. 127–132. (In Russian)
10.  Stepanyants L.G. Some methods of the gasdynamic theory of lubrication. Trudy LPI, 1967, no. 280, pp. 27–43. (In Russian)
11.  Bulat M.P., Bulat P.V. Basic classification of the gas-lubricated bearing. World Applied Sciences Journal, 2013, vol. 28, no. 10, pp. 1444–1448. doi: 10.5829/idosi.wasj.2013.28.10.13924
12.  Uskov V.N., Bulat P.V. On the investigation of the vibrational motion of the gas suspension rotor and expander Turbo-refrigerating machines. Part I. Statement of the problem. Vestnik of International Academy of Refrigeration, 2012, no. 3, pp. 3–7. (In Russian)
13.  Uskov V.N., Bulat P.V. About research of an oscillating motion gas subweight of a rotor of turbo-refrigerator and detanderny cars. Part II. Pressure fluctuations in nozzles of the feeding systems on a supercritical operating mode. Vestnik of International Academy of Refrigeration, 2013, no. 1, pp. 57–60. (In Russian)
14.  Bulat P.V. Practice of gas bearings designing for refrigerating machines. Part I. Overview of gas bearings.Kholodilnaya Tekhnika, 2015, no. 7, pp. 17–21. (In Russian)
15.  Beschastnykh V.N., Bulat P.V. Practice of gas bearings designing for refrigerating machines. Part II. Design and methodology of hybrid bearings calculation. Kholodilnaya Tekhnika, 2015, no. 8, pp. 31–35. (In Russian)
16.  Reynolds O. On the theory of lubrication and its application to Mr. Beauchamp Tower's experiments, including an experimental determination of the viscosity of olive oil'. Royal Society, Phil. Trans., 1886, Pt. 1, 114 p.
17.  Beschastnykh V.N. Development of a Calculation Method and Experimental Determination of the Characteristics of Radial Segmented Gas Bearings for Heavy Rotors of a Gas Turbine Engine. PhD Thesis. Moscow, 2011, 144 p. (In Russian)
18.  Beschastnykh V. N., Ravikovich Y. A., Sokolov A. N. Evaluation of static bearing strength for a tilting-pad hydrostatic gas bearing. Vestnik Moskovskogo Aviatsionnogo Instituta, 2009, vol. 16, no. 1, pp. 84–94. (In Russian)
19.  Beschastnykh M.S., Il'ina T.E. Experience of designing bearings with gas lubrication. Aktual'nye Voprosy Sovremennykh Fiziko-Matematicheskikh i Estestvennykh Nauk. Moscow, 2015, pp. 29–47. (In Russian)
20.  Sternliht B. Gas cylindrical sliding bearings of finite length. Prikladnaya Mekhanika, 1961, vol. 28, no. 4, pp. 62–70.
21.  Raimondi A.A. Numerical solution for the gas lubricated full bearing of finite length. ASLE Transaction, 1961, vol. 4, no. 1, pp. 131–135. doi: 10.1080/05698196108972427
22.  Kotlyar Ya.M. Flow of a viscous gas in the gap between two coaxial cylinders. Izv. AN SSSR. Otdelenie tekhn. nauk, 1957, no. 10, pp. 12–18. (In Russian)
23.  Kotlyar Ya.M. To the theory of air suspension of spherical type. Izv. AN SSSR. Otdelenie tekhn. nauk, 1959, no. 6, pp. 21–26. (In Russian)


Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Copyright 2001-2024 ©
Scientific and Technical Journal
of Information Technologies, Mechanics and Optics.
All rights reserved.

Яндекс.Метрика