Differential Quadrature Method for the Analysis of Hydrodynamic Thrust Bearings

الموضوعات : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیک

مهدی زارع مهرجردی ¹ (دانشجوی کارشناسی ارشد، مهندسی مکانیک، دانشگاه یزد.)
اصغر دشتی رحمت آبادی ² (استادیار، دانشکده مکانیک، دانشگاه یزد.)
محمدرضا فاضل ³ (مربی، دانشکده مکانیک دانشگاه یزد)

تاريخ الإرسال : 20 السبت , ذو الحجة, 1436 تاريخ التأكيد : 20 السبت , ذو الحجة, 1436 تاريخ الإصدار : 17 السبت , جمادى الثانية, 1429

الکلمات المفتاحية: GDQ Method, Numerical Solution, Hydrodynamic Lubrication, Thrust Bearing,

ملخص المقالة :

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.

المصادر:

[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

[13]    Constantinescu V.N., Sliding Bearing, New York: Allerton Press, 1985, Ch.2.