Investigation of Pressure Distribution in Hydrodynamic Radial Journal Bearings with Finite Difference Method
Abstract
As the most important performance parameter of
journal bearings, which are widely used in industry, load carrying capacity is
directly related to pressure occurred between shaft and bearing house. Occurred
pressure is obtained with numerical solving under different boundary
conditions. There are three different boundary conditions which are Sommerfeld,
Half-Sommerfeld and Reynolds. In this study, pressure distribution of journal
bearings are obtained and compared with each other under mentioned boundary conditions.
First, Reynolds equation defining Cartesian coordinate system is rewritten in
polar coordinate system and then the equation is made non-dimensional. The
non-dimensional equation is adapted to finite difference method and made proper
for iterative solution. Pressure distribution and load carrying capacity are
obtained for different parameters by a generated MATLAB program. Obtained
pressure distribution is validated with a previous study.
References
- Bonneau D., Fatu A., Souchet D. (2014) Mixed Lubrication in Hydrodynamic Bearings, Wiley, New Jersey, ABD.
- Concli F. (2016) Pressure distribution in small hydrodynamic journal bearings considering cavitation: a numerical approach based on the opensource CFD code OpenFOAM®, Lubrication Science, 28(6) pp. 329-347. doi: 10.1002/ls.1334
- D. Benasciutti, M. Gallina, M. Gh. Munteanu F. Flumian (2012) A numerical approach for the analysis of deformable journal bearings. Frattura ed Integrità Strutturale: Annals 2012 pp.37-45. doi: 10.3221/IGF-ESIS.21.05
- Gengyuan G., Zhongwei Y., Dan J., Xiuli Z. (2015) CFD analysis of load-carrying capacity of hydrodynamic lubrication on a water-lubricated journal bearing, Industrial Lubrication and Tribology, 67(1) pp. 30-37. doi: 10.1108/ ilt-03-2013-0028
- Grabon´ W, Smykla J. (2012) Computer program for simulation of pressure distribution in the hydrodynamic radial bearing. Artif Intell Driven Solut Bus Eng Prob, pp. 176–186 ISBN: 978-954-16-0060-3
- Güllü, E. (1987). Kaymalı Yatakların Elastohidrodinamik analizi ve yatak deformasyonunun performans karakteristiklerine etkisi, Doktora Tezi, İ.T.Ü Fen Bilimleri Enstitüsü, İstanbul.
- Hori, Y. (2006) Hydrodynamic Lubrication, Springer-Verlag, Tokyo, Japan.
- Meng F., Chen Y. (2015) Analysis of elasto-hydrodynamic lubrication of journal bearing based on different numerical methods. Industrial Lubrication and Tribology, 67(5) pp. 486-497. doi: 10.1108/ILT-03-2015-0026
- Montazeri H. (2008) Numerical analysis of hydrodynamic journal bearings lubricated with ferrofluid, Proc. IMechE Vol. 222 Part J: J. Engineering Tribology, pp.51-60. doi: 10.1243/13506501JET314
- Nicoletti R. (2013) Comparison Between a Meshless Method and the Finite Difference Method for Solving the Reynolds Equation in Finite Bearings. Journal of Tribology, 135(4) pp. 044501-1-9. doi: 10.1115/1.4024752
- Stachowiak G. W., Batchelor A.W. (2014) Engineering Tribology, Butterworth-Heinemann, ABD.
- Syfris D., Chasalevris A. (2012) An exact analytical solution of the Reynolds equation for the finite journal Bearing. Tribology International. 55(1), pp. 46-58. doi:10.1016/j.triboint.2012.05.011
- Tiwari, P., Kumar, W. (2012) Analysis Of Hydrodynamic Journal Bearing: A Review. International Journal of Engineering Research & Technology, 1(7), pp. 1-7. ISSN: 2278-0181
- Wang Y., Yin Z., Jiang D., Gao G., Zhang X. (2016) Study of the lubrication performance of water-lubricated journal bearings with CFD and FSI method. Industrial Lubrication and Tribology, 68(3) pp. 341-348. doi: 10.1108/ILT-04-2015-0053
Abstract
Endüstride yaygın bir şekilde kullanılan bir makine elemanı olan kaymalı
yatakların en önemli performans parametresi olan yük taşıma kapasitesi yatak
ile mil arasında meydana gelen basınç değerleri ile doğrudan ilişkilidir.
Oluşan bu basınçlar Reynolds denkleminin çeşitli sınır şartları altında nümerik
çözümü ile elde edilmektedir. Reynolds denkleminin çözümünde üç farklı sınır
şartı bulunmaktadır. Bunlar, Sommerfeld, Yarı-Sommerfeld ve Reynolds sınır
şartlarıdır. Bu çalışmada hidrodinamik
kaymalı yataklardaki basınç dağılımı bahsedilen üç sınır şartında sonlu farklar
metodu kullanılarak elde edilmiş ve karşılaştırılmıştır. Buna göre; öncelikle
Kartezyen koordinatlarda ifade edilen Reynolds denklemi polar koordinat
sistemine göre yazılmış daha sonra denklem boyutsuzlaştırılmıştır. Boyutsuz
hale getirilen denklem sonlu farklara göre ifade edilmiş ve iteratif çözüme
uygun hale getirilmiştir. MATLAB programında modellenen denklemler vasıtasıyla
farklı parametreler için basınç dağılımına ve yük taşıma kapasitesine
ulaşılmıştır. Elde edilen basınç dağılımı literatürdeki bir çalışma ile
doğrulanmıştır.
References
- Bonneau D., Fatu A., Souchet D. (2014) Mixed Lubrication in Hydrodynamic Bearings, Wiley, New Jersey, ABD.
- Concli F. (2016) Pressure distribution in small hydrodynamic journal bearings considering cavitation: a numerical approach based on the opensource CFD code OpenFOAM®, Lubrication Science, 28(6) pp. 329-347. doi: 10.1002/ls.1334
- D. Benasciutti, M. Gallina, M. Gh. Munteanu F. Flumian (2012) A numerical approach for the analysis of deformable journal bearings. Frattura ed Integrità Strutturale: Annals 2012 pp.37-45. doi: 10.3221/IGF-ESIS.21.05
- Gengyuan G., Zhongwei Y., Dan J., Xiuli Z. (2015) CFD analysis of load-carrying capacity of hydrodynamic lubrication on a water-lubricated journal bearing, Industrial Lubrication and Tribology, 67(1) pp. 30-37. doi: 10.1108/ ilt-03-2013-0028
- Grabon´ W, Smykla J. (2012) Computer program for simulation of pressure distribution in the hydrodynamic radial bearing. Artif Intell Driven Solut Bus Eng Prob, pp. 176–186 ISBN: 978-954-16-0060-3
- Güllü, E. (1987). Kaymalı Yatakların Elastohidrodinamik analizi ve yatak deformasyonunun performans karakteristiklerine etkisi, Doktora Tezi, İ.T.Ü Fen Bilimleri Enstitüsü, İstanbul.
- Hori, Y. (2006) Hydrodynamic Lubrication, Springer-Verlag, Tokyo, Japan.
- Meng F., Chen Y. (2015) Analysis of elasto-hydrodynamic lubrication of journal bearing based on different numerical methods. Industrial Lubrication and Tribology, 67(5) pp. 486-497. doi: 10.1108/ILT-03-2015-0026
- Montazeri H. (2008) Numerical analysis of hydrodynamic journal bearings lubricated with ferrofluid, Proc. IMechE Vol. 222 Part J: J. Engineering Tribology, pp.51-60. doi: 10.1243/13506501JET314
- Nicoletti R. (2013) Comparison Between a Meshless Method and the Finite Difference Method for Solving the Reynolds Equation in Finite Bearings. Journal of Tribology, 135(4) pp. 044501-1-9. doi: 10.1115/1.4024752
- Stachowiak G. W., Batchelor A.W. (2014) Engineering Tribology, Butterworth-Heinemann, ABD.
- Syfris D., Chasalevris A. (2012) An exact analytical solution of the Reynolds equation for the finite journal Bearing. Tribology International. 55(1), pp. 46-58. doi:10.1016/j.triboint.2012.05.011
- Tiwari, P., Kumar, W. (2012) Analysis Of Hydrodynamic Journal Bearing: A Review. International Journal of Engineering Research & Technology, 1(7), pp. 1-7. ISSN: 2278-0181
- Wang Y., Yin Z., Jiang D., Gao G., Zhang X. (2016) Study of the lubrication performance of water-lubricated journal bearings with CFD and FSI method. Industrial Lubrication and Tribology, 68(3) pp. 341-348. doi: 10.1108/ILT-04-2015-0053
Details
| Primary Language | Turkish |
|---|---|
| Subjects | Engineering |
| Journal Section | Research Articles |
| Authors | |
| Publication Date | December 31, 2018 |
| Submission Date | August 12, 2016 |
| Acceptance Date | October 5, 2018 |
| Published in Issue | Year 2018 Volume: 23 Issue: 3 |
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