Numerical Modelization for Equilibrium Position of a Static Loaded Hydrodynamic Bearing
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Abstract
This paper presents a numerical simulation of hydrodynamic journal bearing lubrication by using finite element method to solve Reynolds equation in static load condition. Reynolds boundary condition is applied in this research in order to yield oil film pressure distribution at a given oil supply hole position. When the pressure distribution is obtained, the equilibrium position of the housing bearing can be determined by using Newton-Raphson method applied on the equilibrium equation of the charge. The equilibrium positions are simulated in different parameters of the journal speed and the applied load. The results show that at the different sections of bearing, the starting disruption positions are different and the middle section along the axial direction shows the maximum pressure and gradually decreases toward two ends of bearing. On the other hand, the more loads applied, the distance from the calculated equilibrium position to the journal center gets farther. The faster journal rotation speed makes the balance point closer to the journal center.
Keywords
Hydrodynamic journal bearing, Cavitation, Equilibrium position, Reynold boundary condition, Static load
Article Details
References
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[11] Jack,F.B., Stephen B. Finite element analysis of elastic engine bearing lubrication: theory (2001).
[12] Biswas, N., Chakraborti, P., Saha, A., & Biswas, S. Performance & stability analysis of a three-lobe journal bearing with varying parameters: Experiments and analysis (2016).
[13] Frêne Jean, Daniel Nicolas, Bernard Degueurce, Daniel Berthe, Maurice Godet, Préfacede Gilbert Riollet., Paris 1990, Lubrification hydrodinamique Paliers et butées, 151-163
[2] Dowson D., A Generalized Reynolds Equation for Fluid-Film Lubrication, Elsevier publication, IJMSPPL. Vol. 4 (1962) pp. 159-170.
[3] Swift, H. W., The Stability of Lubricating Films in Journal Bearings, Proc.-Inst. Civ. Eng., 233, (1932) 267–288.
[4] Stieber W., Das Schwimmlager, Verein Deuutscher Ingenieure, Berlin (1993).
[5] Vohr J. H., Numerical Methods in Hydro-dynamic Lubrication, CRC Handbook of Lubrication Vol. 2 (1983) 93-104.
[6] Chen, Chen-Hain, and Chen, Chato-Kuang, The Influence of Fluid Inertia on the Operating Characteristics of Finite Journal Bearings, Wear, 131 (1989) 229–240.
[7] Banerjee, M. B., Shandil, R. G., Katyal, S. P., Dube, G. S., Pal, T. S., and Banerjee, K., 1986, A Nonlinear Theory of Hydrodynamic Lubrication, J. Math. Anal. Appl., 117, (1986) 48–56.
[8] Pai, R. and B.C. Majumdar, Stability analysis of flexible supported rough submerged oil journal bearings. Tribol. T., 40(3) (1991) 437-444.
[9] Raghunandana, K., and Majumdar, B. C., Stability of Journal Bearing Systems Using Non-Newtonian Lubricants: A Non-Linear Transient Analysis, Tribol. Int., 32, (1999) pp. 179–184.
[10] Kakoty, S.K. and B.C. Majumdar. Effect of fluid inertia on stability of oil journal bearings. ASME J. Tribol., 122 (2000) 741-745.
[11] Jack,F.B., Stephen B. Finite element analysis of elastic engine bearing lubrication: theory (2001).
[12] Biswas, N., Chakraborti, P., Saha, A., & Biswas, S. Performance & stability analysis of a three-lobe journal bearing with varying parameters: Experiments and analysis (2016).
[13] Frêne Jean, Daniel Nicolas, Bernard Degueurce, Daniel Berthe, Maurice Godet, Préfacede Gilbert Riollet., Paris 1990, Lubrification hydrodinamique Paliers et butées, 151-163