JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
Print ISSN : 0914-8825
Matrix Form of Reynolds Equation : Expansion of Pressure by Orthogonal Functions
Takahisa KATOYukio HORI
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1988 Volume 31 Issue 2 Pages 444-450

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Abstract
This paper presents a general approach for solving the Reynolds equation, in which the Reynolds equation is reduced analytically without approximation to infinite dimensional linear equations (matrix form) with unknowns related to eigenvalues of operator R=∇·[(h3/6η)∇]. The paper presents applications of the method to journal bearing problems under a quasi-Reynolds boundary condition in which the trailing boundary line is given by a straight line and the bulk flow across this line is ensured to be continuous. It is shown that the present method requires much less computational time than ordinary FDM for obtaining accurate predictions.
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© The Japan Society of Mechanical Engineers
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