Zare-Mehrjardi, M., Rahmatabadi, A., Fazel, M. (2008). Differential Quadrature Method for the Analysis of Hydrodynamic Thrust Bearings. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 1(2), 59-68.
M. Zare-Mehrjardi; A.D. Rahmatabadi; M.R. Fazel. "Differential Quadrature Method for the Analysis of Hydrodynamic Thrust Bearings". Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 1, 2, 2008, 59-68.
Zare-Mehrjardi, M., Rahmatabadi, A., Fazel, M. (2008). 'Differential Quadrature Method for the Analysis of Hydrodynamic Thrust Bearings', Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 1(2), pp. 59-68.
Zare-Mehrjardi, M., Rahmatabadi, A., Fazel, M. Differential Quadrature Method for the Analysis of Hydrodynamic Thrust Bearings. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2008; 1(2): 59-68.
Differential Quadrature Method for the Analysis of Hydrodynamic Thrust Bearings
1M.Sc. Student, Yazd University, Mechanical Engineering Department
2Assistant Professor, Yazd University, Mechanical Engineering Department
3Lecturer, Yazd University, Mechanical Engineering Department
Abstract
This paper presents the application of the method of generalized differential quadrature (GDQ) for the analysis of hydrodynamic thrust bearings. GDQ is a simple, efficient, high-order numerical technique and it uses the information on all grid points to approach the derivatives of the unknown function. The effectiveness of the solution technique is verified by comparing the GDQ computed results with the results of analytical solutions, FEM and FDM results from the published literature. It's seen from the results that GDQ method can easily compete with the existing methods of solution of lubrication problems in respect to its analytical simplicity, smaller computer storage requirements and capability of producing accurate results with very high computational efficiency.
[1] Raimondi A A. and Boyd J., A solution for the finite journal bearing and its application to analysis and design, ASLE Trans, Vol.1, 1959, pp.159-209.
[2] Raimondi A A., A numerical solution for the gas lubricated full journal bearing of finite length, ASLE Trans, Vol.4, 1961, pp.131-155
[3] Reddi M M., Finite Element Solution for Incompressible Lubrication Problem, ASME J. Lubrication Technology, Vol. 91, 1969, pp. 524-533
[4] Kato T. and Hori Y., A Fast Method for Calculating Dynamic Coefficients of a Finite Width Journal Bearing With Quasi Reynolds Boundary Condition, ASME J. Tribology, Vol.110, 1988, pp.387-393
[5] Sharma R.K. and Pandey R.K., 2008, Influence of surface profile on slider bearing performance,In. J. Surface Science and Engineering, Vol. 2, No. 34, pp. 265 – 280.
[6] Bellman R. and Casti J., 1971, Differential quadrature and long –term integration, J. Math Anal Appl 34, pp.235-238
[7] Mingle J., The method of Differential Quadrature for transient non-linear diffusion, J. Math Anal Appl , Vol.60, 1977, pp.559-569
[8] Bert CW., Jang SK., Striz AG., Two New Approximate Methods for Analyzing Free Vibration of Structural Components, AIAA J.26, 1988, , pp.612-618
[9] Shu C., Richards B E., Application of Generalized Differential Quadrature to Solve Two-dimensional Incompressible Navier-stokes Equation, Int. J. Numer Methods Fluids,Vol. 15, 1992, pp.791-798
[10] Malik M., Bert C W., Differential quadrature solution for steady-state incompressible and compressible lubrication problems, J. Tribology, Vol.116, 1994, pp.296-302
[11] Zhang Q., Guo G., Winoto S H., Analysis of Hydrodynamic Journal Bearing With GDQ Method, Magnetic Recording Conference, TU06, 2002, pp.1-2
[12] Shu C., Richards B E., Parallel Simulation of Incompressible Viscose Flows by Generalized Differential Quadrature, Compute System in Eng. Vol. 3, 1992,, pp.271-281
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