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"Humanities and Science University Journal" №13 (Physical and mathematical, biological and technical science), 2015

Adjoint Method for the Reynolds Equation of Fluid Film Lubrication

B. S. Grigor’ev
Price: 50 руб.
 sensitivity analysis of fluid bearings to variation of design parameters. New formulas for sensitivity coeffi cients have been derived. Within the sensitivity analysis new formulas for stiffness and damping coefficients of the lubricating film have been obtained. The resulting formulas are more effective in relation to necessary computational work than the previous ones. As a practical example a tilting pad journal bearing is considered.
Keywords: adjoint method, Reynolds equation, fl uid fi lm lubrication, sensitivity
analysis, stiffness and damping coeffi cients.
1. Pupko, V.Ya., Zrodnikov, A.V., & Lichatschov, U.I. Adjoint method in engineering
and physics research (In Russian). 1984, Moscow: Energoatomizdat.
2. Grigor’ev, B.S. Adjoint method for non-stationary problems of gas lubrication
(In Russian). Adjoint method for problems of mathematical physics, 1990, Moscow:
Numerical Mathematic Department, Academy of Sciences of the USSR, pp. 47–63.
3. Giles, M.B., & Pierce, N.A. An Introduction to the adjoint approach to design.
Flow, Turbulence and Combustion, 2000, 65, 393–415.
4. Dimond, T., Younan, A., & Allaire, P. A Review of Tilting Pad Bearing Theory.
International Journal of Rotating Machinery, 2011, Vol. 2011, Article ID 908469.
5. Dmochowski, W.M., Conlon, M.J., Dadouche, A., & Fillon, M. Dynamic
Characteristics of Fluid Film Bearings. Encyclopedia of Tribology, 2013, SpringerVerlag, 801-808.
Price: 50 рублей
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