Multiscaling analysis of a nonlinear boundary value problem in lubrication theory

• Autorzy: Aliu E. , Shepherd J. J. , Connell H. J.
• Języki publikacji: EN

Abstrakty

EN

The method of multiple scales, a long standing alternative to the method of matched expansions, is applied to the nonlinear boundary value problem modelling the operation of a one-dimensional gas lubricated slider bearing, at large values of the bearing number. Approximate expansions for the pressure profile, load bearing capacity and the location of the centre of pressure are obtained, and compared with the results of applying matched expansions and numerical techniques.

Słowa kluczowe

EN

bearing; lubrication; multiscaling; perturbations

PL

smarowanie; łożysko ślizgowe; technika numeryczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2004
• Tom: Vol. 9, no 3
• Strony: 455--470
• Opis fizyczny: Bibliogr. 12 poz., wykr.

Twórcy

autor

Aliu E.

• Applied and Numerical Modelling Group, Department of Mathematics Royal Melbourne Institute of Technology, Melbourne, 3000, AUSTRALIA

autor

Shepherd J. J.

• Applied and Numerical Modelling Group, Department of Mathematics Royal Melbourne Institute of Technology, Melbourne, 3000, AUSTRALIA

autor

Connell H. J.

• Applied and Numerical Modelling Group, Department of Mathematics Royal Melbourne Institute of Technology, Melbourne, 3000, AUSTRALIA

Bibliografia

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• [4] DiPrima R.C. (1969): Higher order approximations in the asymptotic solution of the Reynolds eąuation for slider bearings at high bearing numbers. - J. Lub. Tech., Trans. ASME Series F, vol.91, No.l, pp.45-51.
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• [6] Habets P. (1978): A singular boundary value problem in gas lubrication theory. - Seminaire de Mathematiąue Appliąuee et Mecaniąue, Report No. 19, Institut de Mathematiąue Pure et Appliąuee, Universite, Catholiąue du Louvain.
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• [8] PDEase (1993): Finite Element Analysis for Partial Differential Eąuations. - Version 2.5 Reference Manuał, Macsyma Inc.
• [9] Sereny A. and Castelli V. (1978): Perturbation solution ofthe 1-D Reynolds eąuation with slip boundary conditions. - ASME J. Lub. Tech., vol.l00, pp.70-73.
• [10] Shepherd J.J. (1978): On the asymptotic solution ofthe Reynolds eąuation. - SIAM J. Appl. Math., vol.34, No.4, pp.774-791.
• [11] Steinmetz W.J. (1974): On a nonlinear singular perturbation boundary problem in gas lubrication theory. - SIAM J. Appl. Math., vol.26, No.4, pp.816-826.
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