Finite element analysis of multirecess hybrid spherical journal bearing system

Abstract

The present work deals with finite element method analysis of a multirecess hybrid spherical journal bearing system. The governing equations have been discretized using Galerkin’s technique and are solved simultaneously using a suitable iterative technique. The effect of span angle on the static and dynamic behavior of a hybrid spherical journal bearing compensated with membrane restrictor is investigated in the present work. Numerical results indicate that larger values of span angle provide enhanced value of minimum fluid-film thickness $({\bar{h}}_{min})$ , reduced lubricant flow requirement $(\bar{Q})$ , and higher value of frictional torque $({\bar{T}}_{f})$ . Further, the results have been compared with a correspondingly similar capillary-compensated bearing. The comparison of numerically results demonstrates that the value of direct fluid-film stiffness coefficient $({\bar{S}}_{xx})$ could be 45.90% higher than that of correspondingly similar capillary-compensated bearing. The numerical results presented in this work may be useful as design guidelines for a recessed hybrid spherical journal bearing.

Keywords

Multirecess hybrid spherical journal bearing finite element method restrictor span angle Reynolds equation

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References

Chiang

Malanoski

Pan

. Spherical squeeze-film hybrid bearing with small steady-state radial displacement. J Lubricat Technol 1967; 89: 254–262.

Goenka

Booker

. Spherical bearings: static and dynamic analysis via the finite element method. J Lubricat Technol 1980; 102: 308–318.

Dowson

Taylor

. Fluid-inertia effects in spherical hydrostatic thrust bearings. ASLE Trans 1967; 10: 316–324.

Avan

Spencer

Dwyer-Joyce

, et al. Experimental and numerical investigations of oil film formation and friction in a piston ring–liner contact. Proc IMechE, Part J: J Engineering Tribology 2013; 227: 126–140.

Rowe

Stout

. Design data and a manufacturing technique for spherical hydrostatic bearings in machine tool applications. Int J Mach Tool Des Res 1971; 11: 293–307.

Spencer

Avan

Almqvist

, et al. An experimental and numerical investigation of frictional losses and film thickness for four cylinder liner variants for a heavy duty diesel engine. Proc IMechE, Part J: J Engineering Tribology 2013; 227: 1319–1333.

de Boer

Almqvist

. On the two-scale modelling of elastohydrodynamic lubrication in tilted-pad bearings. Lubricants 2018; 6: 78–78.

San Andres

. Dynamic force response of spherical hydrostatic journal bearings for cryogenic applications. Tribol Trans 1994; 37: 463–470.

Hannon

Braun

Hariharan

. Generalized universal Reynolds equation for variable properties fluid-film lubrication and variable geometry self-acting bearings. Tribol Trans 2004; 47: 171–181.

10.

Jiang

. Analysis of the static characteristics of a self-compensation hydrostatic spherical hinge. J Tribol 2015; 137: 044503–044503.

11.

O’Donoghue

. Design of fitted spherical hydrostatic bearings. Tribology 1971; 4: 158–163.

12.

Gupta

Deheri

. Effect of roughness on the behavior of squeeze film in a spherical bearing. Tribol Trans 1996; 39: 99–102.

13.

Leung

Craighead

Wilkinson

. An analysis of the steady state and dynamic characteristics of a spherical hydrodynamic journal bearing. J Tribol 1989; 111: 459–467.

14.

Yacout

Ismaeel

Kassab

. The combined effects of the centripetal inertia and the surface roughness on the hydrostatic thrust spherical bearings performance. Tribol Int 2007; 40: 522–532.

15.

Mohsin M. The use of controlled restrictors for compensating hydrostatic bearings. In: 3rd International Conference on Machine Tool Design and Research, 1963, pp.429–442. Oxford: Pergamon.

16.

DeGast J. A new type of controlled restrictor (MDR) for double film hydrostatic bearings and its application to high-precision machine tools. In: Proceedings of 7th International Machine Tool Design and Research Conference Part I, 1966, pp.273–298. Oxford: Pergamon Press.

17.

Cusano

. Characteristics of externally pressurized journal bearing with membrane-type variable-flow restrictors as compensating elements. Inst Mech Eng Lond 1974; 188: 52–74.

18.

Morsi

. Passively and actively controlled externally pressurized oil-film bearings. J Lubricat Technol 1972; 94: 56–63.

19.

Zhang Y, Yu S, Lu C, et al. An improved lumped parameter method for calculating static characteristics of multi-recess hydrostatic journal bearings. Proc IMechE, Part J: J Engineering Tribology. Epub ahead of print 5 June 2019. DOI: 10.1177/1350650119855242.

20.

Arafa

Osman

. Hydrostatic bearings with multiport viscous pumps. Proc IMechE, Part J: J Engineering Tribology 2003; 217: 333–342.

21.

Mohsin

Morsi

. The dynamic stiffness of controlled hydrostatic bearings. J Lubricat Technol 1969; 91: 597–608.

22.

Kang

Shen

P-C

Chang

Y-P

, et al. Modified predictions of restriction coefficient and flow resistance for membrane-type restrictors in hydrostatic bearing by using regression. Tribol Int 2007; 40: 1369–1380.

23.

Gohara

Somaya

Miyatake

, et al. Static characteristics of a water-lubricated hydrostatic thrust bearing using a membrane restrictor. Tribol Int 2014; 75: 111–116.

24.

Bassani

Piccigallo

. Hydrostatic lubrication, Amsterdam, Netherlands: Elsevier, 1992.

25.

Metman

Muijderman

Van Heijningen

, et al. Load capacity of multi-recess hydrostatic journal bearings at high eccentricities. Tribol Int 1986; 19: 29–34.

26.

Sharma

Jamwal

Awasthi

. Enhancement of steady state performance of hydrodynamic journal bearing using chevron-shaped surface texture. Proc IMechE, Part J: J Engineering Tribology 2019; 233: 1833–1843.

27.

Sharma S, Jamwal G and Awasthi R. Numerical study on steady state performance enhancement of partial textured hydrodynamic journal bearing. Indus Lubricat Tribol. Epub ahead of print June 2019. DOI: 10.1108/ILT-03-2019-0083.