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Abstract

A theoretical analysis has been carried out to study the stability of a flexible rotor supported on two symmetrical finite porous oil journal bearings at the two ends. The rotor is modelled by Timoshenko beam theory. An investigation of stability has been carried out using a non-linear transient method. This analysis enables to trace the journal centre locus at different locations of the rotor, however, only the bearing location rotor centre trajectories are taken up in this work and subsynchronous critical parameters are estimated. Several trajectories of the journal centre have been obtained for different operating conditions. The stability curves have been drawn for different eccentricity ratios. This work has been carried out in non-dimensional form and the effects of bearing feeding parameter, slenderness ratio, and material properties of the beam on stability are investigated.

Keywords

Timoshenko beam porous bearing stability non-linear analysis flexible rotor

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References

Ruhl

R. L.

Dynamics of distributed parameter rotor systems: transfer matrix and finite element techniques. PhD Thesis, Cornell University, 1970.

Ruhl

R. L.

Booker

J. F.

A finite-element model for distributed parameter turbo rotor systems. J. Eng. Ind. Trans. ASME, 1972, 94, 128–132.

Nelson

H. D.

McVaugh

J. M.

The dynamics of rotor-bearing systems using finite elements. J. Eng. Ind. Trans. ASME, 1976, 98, 593–600.

Nelson

H. D.

A finite rotating shaft element using Timoshenko beam theory. J. Mech. Des. Trans. ASME, 1980, 102, 793–803.

Dokainish

M. A.

Subbaraj

A survey of direct time-integration methods in computational structural dynamics—I. Explicit methods. Comput. Struct., 1989, 32(6), 1371–1386.

Subbaraj

Dokainish

M. A.

A survey of direct time-integration methods in computational structural dynamics—II. Implicit methods. Comput. Struct., 1989, 32(6), 1387–1401.

Chen

L. W.

D. M.

Finite-element analysis of natural whirl speeds of rotating shafts. Comput. Struct., 1991, 40(3), 741–747.

Kakoty

S. K.

Kalita

Stability of rotors supported on fluid film bearings. In Proceedings of the 2nd International Conference on Vibration Engineering and Technology of Machinery, (VETOMAC-2), Mumbai, India, 16-18 December 2002.

Kalita

Kakoty

S. K.

Regarding stability study of circular and non-circular bearings supporting rigid and flexible rotors. Adv. Vib. Eng., 2007, 6(4), 371–381.

10.

Kalita

Dynamic characteristics and stability analysis of rotors mounted on fluid film bearings. PhD Thesis, IIT Guwahati, 2005.

11.

Rao

J. S.

Conditions for backward synchronous whirl of a flexible rotor in hydrodynamic bearings. Mech. Mach. Theory, 1982, 17(2), 143–152.

12.

Cai-Wan

C. J.

Chen

C. K.

Non-linear analysis of a flexible rotor supported by micropolar fluid film journal bearings. Int. J. Eng. Sci., 2006, 44, 1050–1070.

13.

Zhao

Meng

Zhu

Stability and response analysis of symmetrical single-disk flexible rotor-bearing system. Tribol. Int., 2005, 38, 749–756.

14.

Ping

J. J.

Guang

SongBo

On the non-linear dynamic behavior of a rotor—bearing system. J. Sound Vibr., 2004, 274, 1031–1044.

15.

Kumar

Rao

N. S.

Steady state performance of finite hydrodynamic porous journal bearings in turbulent regimes. Wear, 1993, 167, 121–126.

16.

Chattopadhyay

A. K.

Majumdar

B. C.

On the stability of a rigid rotor in finite porous bearingsin with slip. Trans. ASME, 1986, 108, 190–194.

17.

Guha

S. K.

Study of conical whirl instability of hydro-dynamic porous oil journal bearings with tangential velocity slip. Tribol. Int., 1986, 19(2), 72–78.

18.

Raghunandana

Majumdar

B. C.

Stability of journal bearing systems using non-Newtonian lubricants: A non-linear transient analysis. Tribol. Int., 1999, 32, 179–184.

19.

Christopherson

D. G.

A new mathematical model for solution of film lubrication problems. Proc. Instn Mech. Engrs, 1942, 146, 126–135.

Stability analysis of a flexible rotor supported on finite hydrodynamic porous journal bearing using a non-linear transient method

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