A Numerical Approach for Static and Dynamic Analysis of Deformable Journal Bearings

Authors: D. Benasciutti, M. Gallina, M. Gh. Munteanu, F. Flumian

Abstract:

This paper presents a numerical approach for the static and dynamic analysis of hydrodynamic radial journal bearings. In the first part, the effect of shaft and housing deformability on pressure distribution within oil film is investigated. An iterative algorithm that couples Reynolds equation with a plane finite elements (FE) structural model is solved. Viscosity-to-pressure dependency (Vogel- Barus equation) is also included. The deformed lubrication gap and the overall stress state are obtained. Numerical results are presented with reference to a typical journal bearing configuration at two different inlet oil temperatures. Obtained results show the great influence of bearing components structural deformation on oil pressure distribution, compared with results for ideally rigid components. In the second part, a numerical approach based on perturbation method is used to compute stiffness and damping matrices, which characterize the journal bearing dynamic behavior.

Keywords: Journal bearing, finite elements, deformation, dynamic analysis

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1071650

References:

[1] J. Boyd, A. A. Raimondi, "Applying bearing theory to the analysis and design of journal bearings", J. Appl. Mech., Trans. ASME, vol. 73, pp. 298-309 (Part I), pp. 310-316 (Part II), 1951.
[2] A. A. Raimondi, J. Boyd, "A solution for the finite journal bearing and its application to the analysis and design", Trans. ASLE, vol. 1, no. 1, pp. 159-174 (Part I), pp. 175-193 (Part II), pp. 194-209 (Part III), April 1958.
[3] DIN 31652 (Part 1-3), Hydrodynamic plain journal bearings designed for operation under steady-state conditions, 1983.
[4] G. W. Stachowiak, A. W. Batchelor, Engineering Tribology (Third Edition), Elsevier Butterworth-Heinemann, Burlington, 2005.
[5] A. Z. Szeri, Fluid film lubrication Cambridge University Press, 2011 (2nd ed.).
[6] ASM Handbook (Vol. 2) Properties and selection: nonferrous alloys and special-purpose materials. ASM International, 1990
[7] J. Frene, D. Nicolas, B. Berthe, M. Godet, Hydrodynamic lubrication, Elsevier, 1990.