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Research Papers: Hydrodynamic Lubrication

Three-Dimensional Dynamic Model of TEHD Tilting-Pad Journal Bearing—Part I: Theoretical Modeling

[+] Author and Article Information
Junho Suh

Mem. ASME
Department of Mechanical Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: junhosuh77@gmail.com

Alan Palazzolo

Mem. ASME
Department of Mechanical Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: a-palazzolo@tamu.edu

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received May 9, 2014; final manuscript received February 10, 2015; published online May 11, 2015. Assoc. Editor: Mihai Arghir.

J. Tribol 137(4), 041703 (May 11, 2015) (11 pages) Paper No: TRIB-14-1107; doi: 10.1115/1.4030020 History: Received May 09, 2014

This paper is focused on a new modeling method of three-dimensional (3D) thermo-elasto-hydro-dynamic (TEHD) cylindrical pivot tilting-pad journal bearing (TPJB). Varying viscosity Reynolds equation and 3D energy equation are coupled via lubricant temperature and viscosity relationship. Three-dimensional finite element method (FEM) is adopted for the analysis of: (1) heat conduction in shaft and bearing pad, (2) thermal deformation of shaft and pad, (3) flexible bearing pad dynamic behavior, and (4) heat conduction, convection, and viscous shearing in thin lubricant film. For the computational efficiency, modal coordinate transformation is utilized in the flexible pad dynamic model, and pad dynamic behavior is represented only by means of modal coordinate. Fluid film thickness is calculated by a newly developed node based method, where pad arbitrary thermal and elastic deformation and journal thermal expansion are taken into account simultaneously. The main goal of this research is to provide more accurate numerical TPJB model than developed before so that the designers of rotating machinery are able to understand the bearing dynamic behavior and avoid unpredicted problem by selection of physical parameters.

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References

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Figures

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Fig. 1

Pad dynamic model with flexible pivot

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Fig. 2

Nodal constraints of cylindrical pivot tilting-pad dynamic model: (a) FE pad model, (b) x–y plane, and (c) x–z plane

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Fig. 3

Cylindrical pivot: (a) Tilting motion and (b) pitch motion

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Fig. 4

Cylindrical pivot model with oval contact: (a) Tilting motion and (b) pitch motion

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Fig. 5

Secant (kP)S and tangent (kP)T pivot stiffness

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Fig. 6

3D TPJB system FE model: (a) Journal and pads FE model on x–y plane, (b) journal and pads FE model on x–z plane, and (c) 3D shaft and pads FE model

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Fig. 7

Heat conduction model of bearing and shaft

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Fig. 8

Nodal constraints of pad thermal deformation model: (a) x–y plane and (b) x–z plane

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Fig. 9

Constraints for 3D shaft thermal expansion model

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Fig. 10

Journal and pad 3D motion: (a) x–y plane and (b) journal 3D motion

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Fig. 11

Nodal film thickness with flexible pad

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Fig. 12

3D energy equation FE model

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Fig. 13

Temperature and heat flux boundary condition

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Fig. 15

Static equilibrium condition of variables

Tables

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