Stability of four-axial and six-axial grooved water-lubricated journal bearings under dynamic load

Rammohan S. Pai, R. Pai

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

The non-linear transient analysis of water-lubricated journal bearings having four-axial and six-axial grooves is studied theoretically. The time-dependent form of the generalized Reynolds equation has been written as the governing equation in non-dimensional form. The Reynolds equation is solved by a finite-difference technique with a successive over-relaxation scheme, satisfying the Jakobsson-Floberg-Olsson boundary conditions. A non-linear time-transient analysis is carried out and the stability of journal is studied. The equations of motion are solved by the fourth-order Runge-Kutta method to obtain the eccentricity ratio, attitude angle, and their derivatives for the next time step. This study is performed for unidirectional constant load, unidirectional periodic load, and variable rotating load. The journal locus is plotted from the values of eccentricity ratio and attitude angle, and it helps in predicting the status of the system.

Original languageEnglish
Pages (from-to)683-691
Number of pages9
JournalProceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology
Volume222
Issue number5
DOIs
Publication statusPublished - 01-08-2008

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journal bearings
dynamic loads
Reynolds equation
Journal bearings
Dynamic loads
Transient analysis
eccentricity
Runge Kutta methods
Water
water
Equations of motion
Runge-Kutta method
Boundary conditions
loci
Derivatives
grooves
equations of motion
boundary conditions

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Surfaces, Coatings and Films
  • Surfaces and Interfaces

Cite this

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abstract = "The non-linear transient analysis of water-lubricated journal bearings having four-axial and six-axial grooves is studied theoretically. The time-dependent form of the generalized Reynolds equation has been written as the governing equation in non-dimensional form. The Reynolds equation is solved by a finite-difference technique with a successive over-relaxation scheme, satisfying the Jakobsson-Floberg-Olsson boundary conditions. A non-linear time-transient analysis is carried out and the stability of journal is studied. The equations of motion are solved by the fourth-order Runge-Kutta method to obtain the eccentricity ratio, attitude angle, and their derivatives for the next time step. This study is performed for unidirectional constant load, unidirectional periodic load, and variable rotating load. The journal locus is plotted from the values of eccentricity ratio and attitude angle, and it helps in predicting the status of the system.",
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N2 - The non-linear transient analysis of water-lubricated journal bearings having four-axial and six-axial grooves is studied theoretically. The time-dependent form of the generalized Reynolds equation has been written as the governing equation in non-dimensional form. The Reynolds equation is solved by a finite-difference technique with a successive over-relaxation scheme, satisfying the Jakobsson-Floberg-Olsson boundary conditions. A non-linear time-transient analysis is carried out and the stability of journal is studied. The equations of motion are solved by the fourth-order Runge-Kutta method to obtain the eccentricity ratio, attitude angle, and their derivatives for the next time step. This study is performed for unidirectional constant load, unidirectional periodic load, and variable rotating load. The journal locus is plotted from the values of eccentricity ratio and attitude angle, and it helps in predicting the status of the system.

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