Theoretical analysis on conical whirl instability of unloaded submerged oil journal bearings

R. Pai, B. C. Majumdar

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A nonlinear transient method is used to analyse the stability characteristics of an unloaded rigid rotor supported in submerged oil journal bearings undergoing conical whirl. The rotor has two degrees of freedom of motion in a self-excited conical whirl. The analysis considers cavitation effects, takes account of the oil film history and assumes that antisymmetry is maintained in the conical mode of vibration. The time-dependent form of the Reynolds equation (with the journal in the misaligned position) is solved by a finite-difference method with a successive over-relaxation scheme to obtain the moment components. Using these moment components, the equations of motion are solved by a fourth-order Runge-Kutta method, to predict the transient behaviour of the rotor. Journal centre trajectories in orthogonal coordinates are obtained for different operating conditions, using a high-speed digital computer and graphics.

Original languageEnglish
Pages (from-to)309-316
Number of pages8
JournalWear
Volume152
Issue number2
DOIs
Publication statusPublished - 31-01-1992

Fingerprint

rotary stability
journal bearings
Journal bearings
rotors
Oils
Rotors
oils
Rigid rotors
antisymmetry
moments
Reynolds equation
rigid rotors
Runge-Kutta method
digital computers
Runge Kutta methods
Digital computers
cavitation flow
Cavitation
Finite difference method
Equations of motion

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Materials Chemistry

Cite this

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abstract = "A nonlinear transient method is used to analyse the stability characteristics of an unloaded rigid rotor supported in submerged oil journal bearings undergoing conical whirl. The rotor has two degrees of freedom of motion in a self-excited conical whirl. The analysis considers cavitation effects, takes account of the oil film history and assumes that antisymmetry is maintained in the conical mode of vibration. The time-dependent form of the Reynolds equation (with the journal in the misaligned position) is solved by a finite-difference method with a successive over-relaxation scheme to obtain the moment components. Using these moment components, the equations of motion are solved by a fourth-order Runge-Kutta method, to predict the transient behaviour of the rotor. Journal centre trajectories in orthogonal coordinates are obtained for different operating conditions, using a high-speed digital computer and graphics.",
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Theoretical analysis on conical whirl instability of unloaded submerged oil journal bearings. / Pai, R.; Majumdar, B. C.

In: Wear, Vol. 152, No. 2, 31.01.1992, p. 309-316.

Research output: Contribution to journalArticle

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AU - Majumdar, B. C.

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