Sage Journals: Discover world-class research

Abstract

This article studies the non-linear behaviour of a herringbone-grooved rigid rotor supported by a gas film bearing. A numerical method is employed to a time-dependent mathematical model for herringbone-grooved gas journal bearings. The finite difference method with successive over-relation method is employed to solve the Reynolds equation. The system state trajectory, Poincaré maps, power spectra, and bifurcation diagrams are used to analyse the dynamic behaviour of the rotor centre in the horizontal and vertical directions under different operating conditions. The analysis reveals a complex dynamic behaviour comprising periodic and quasi-periodic responses of the rotor centre. This article shows how the dynamic behaviour of this type of system varies with changes in rotor mass and bearing number. The results of this study contribute to a further understanding of the non-linear dynamics of aerodynamic-grooved journal bearing systems.

Keywords

herringbone-grooved Reynolds equation bifurcation

Get full access to this article

View all access options for this article.

References

Vohr

J. H.

Pan

C. H. T.

On the spiral-grooved, self-acting gas bearings, MTI technical report, MTI63TR52, 1963.

Vohr

J. H.

Chow

C. Y.

Characteristics of herringbone-grooved, gas-lubricated journal bearings. ASME J. Basic Eng., 1965, 87, 568–578.

Wildmann

On the behavior of grooved plate thrust bearings with compressible lubricant. ASME J. Lubric. Technol., 1968 90, 226–232.

Bonneau

Absi

Analysis of aerodynamic journal bearing with small number of herringbone grooves by finite element method. ASME J. Tribol., 1994, 116, 698–704.

Zang

Hatch

M. R.

Analysis of coupled journal and thrust hydrodynamic bearing using finite volume method. ASME Adv. Inf. Storage Process. Sys., 1995, 1, 71–79.

Zirkelback

San Andres

Finite element analysis of herringbone groove journal bearings: A parametric study. ASME J. Tribol., 1998, 120, 234–240.

Jang

G. H.

Kim

Y. J.

Calculation of dynamic coefficients in a hydrodynamic bearing considering five degrees of freedom for a general rotor-bearing system. ASME J. Tribol., 1999, 121 (3), 499–505.

Castelli

Elrod

H. G.

Solution of the stability problem for 360 degree self-acting, gas-lubricated bearing. ASME J. Basic Eng., 1961, 87, 199–212.

Ehrich

F. F.

Subharmonic vibration of rotors in bearing clearance, ASME paper no. 66-MD-1, 1966.

10.

Bently

D. E.

Forced subrotative speed dynamic action of rotating machinery, ASME paper no. 74-Pet-16, 1974.

11.

Botman

Experiments on oil film dampers for turbo-machinery. ASME J. Eng. Power, 1976, 98, 393–400.

12.

Holmes

A. G.

Ettles

C. M.

Mayes

I. W.

Aperiodic behavior of a rigid shaft in short journal bearings. Int. J. Numer. Meth. Eng., 1978, 12, 695–702.

13.

Sykes

J. E. H.

Holmes

The effect of bearing misalignment on the non-linear vibration of aeroengine rotor-damper assemblies. Proc. Instn Mech. Engrs, 1990, 204, 83–99.

14.

Sundararajan

Noah

S. T.

Dynamics of forced nonlinear systems using shooting/arc-length continuation method - application to rotor systems. ASME J. Vibr. Acoust., 1997, 119, 9–20.

15.

Lee

Y. H.

Performance analysis of high speed spindle aerostatic bearing. MSc Dissertation, National Cheng Chung University, 2001.

16.

Saha

Majumdar

B. C.

Stability of gas lubricated externally pressurized two-layered porous journal bearings. International Symposium of Stability Control of Rotating Machinery-2, Gadansk, Poland, 4–8 August 2003.

Analysis of an aerodynamic grooved journal bearing with plain sleeve

Abstract

Abstract

Keywords

Get full access to this article

References