2001
DOI: 10.1115/1.1388302
|View full text |Cite
|
Sign up to set email alerts
|

Bifurcation Analysis of Self-Acting Gas Journal Bearings

Abstract: This paper studies the bifurcation of a rigid rotor supported by a gas film bearing. A time-dependent mathematical model for gas journal bearings is presented. The finite differences method and the Successive Over Relation (S.O.R) method are employed to solve the Reynolds’ equation. The system state trajectory, Poincare´ maps, power spectra, and bifurcation diagrams are used to analyze the dynamic behavior of the rotor center in the horizontal and vertical directions under different operating conditions. The a… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
5

Citation Types

0
35
0

Year Published

2006
2006
2023
2023

Publication Types

Select...
4
2
2

Relationship

0
8

Authors

Journals

citations
Cited by 65 publications
(35 citation statements)
references
References 13 publications
0
35
0
Order By: Relevance
“…With regards to the first aspect of the problem, as discussed in [1,2], in the case of compressible fluid bearings the RE is a state equation since it includes time as an independent variable [3][4][5][6][7][8]. The use of Finite Difference (FD)/Finite Element (FE)/Control Volume methods [3][4][5][6][7][8][9] to discretize the RE over the air film, creates a grid of points representing the pressure field, turning the RE into a set of first order ordinary differential equations (ODEs) with time as the independent variable (state equations) [1,2].…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…With regards to the first aspect of the problem, as discussed in [1,2], in the case of compressible fluid bearings the RE is a state equation since it includes time as an independent variable [3][4][5][6][7][8]. The use of Finite Difference (FD)/Finite Element (FE)/Control Volume methods [3][4][5][6][7][8][9] to discretize the RE over the air film, creates a grid of points representing the pressure field, turning the RE into a set of first order ordinary differential equations (ODEs) with time as the independent variable (state equations) [1,2].…”
Section: Introductionmentioning
confidence: 99%
“…The use of Finite Difference (FD)/Finite Element (FE)/Control Volume methods [3][4][5][6][7][8][9] to discretize the RE over the air film, creates a grid of points representing the pressure field, turning the RE into a set of first order ordinary differential equations (ODEs) with time as the independent variable (state equations) [1,2]. Additionally, the air film gap at a given location is a function of the foil deformation there, apart from the journal displacement.…”
Section: Introductionmentioning
confidence: 99%
“…As observed in [1,2], due to the computational burden so introduced, the simultaneous solution of the state equations of the air film, foil and rotor has typically been avoided. In works such as [3][4][5][6][7][8] the air-film ODEs are uncoupled from the foil and rotor ODEs and approximated as algebraic equations; these latter equations were solved iteratively for the current pressure distribution using the rotor state variables at the previous time step [1,2].…”
Section: Introductionmentioning
confidence: 99%
“…The use of Finite Difference (FD)/Finite Element (FE)/Control Volume methods [3][4][5][6][7][8][9] to discretize the RE over the air film, creates a grid of points representing the pressure field, turning the RE into a set of first order ordinary differential equations (ODEs) with time as the independent variable (state equations). As observed in [1,2], due to the computational burden so introduced, the simultaneous solution of the state equations of the air film, foil and rotor has typically been avoided.…”
Section: Introductionmentioning
confidence: 99%
“…When subjected to the influence of external factors, the rotor will perform random movement with the change of load in the center of axis. The dynamic characteristic coefficients reflect to the internal relations between the displacement and velocity when the rotor is subjected to external loads variation [5,6], and it can be characterized by the dynamic stiffness and dynamic damping of the micro film and analyzed the rotor's unbalance response, critical speed & stability [7,8]. Based on the axis orbit, the working condition of the gas bearing can be obtained, and the minimum gas film thickness and the rotation accuracy of the bearing can be obtained, and the stability of the bearing is also determined [9,10,11,12].…”
Section: Introductionmentioning
confidence: 99%