Abstract
A numerical iterative method is given for the solution of the Reynolds equation subject to separable boundary conditions. The iteration error for a given eigenfunction is sixth order in the step size. The method has been tested in the case of the finite exponential bearing pad for which exact analytical solutions are available. The dimensionless load capacity per unit width, W, can be calculated to ∼0.1% accuracy if ten terms are used in the sum for W. Only the first five terms need be calculated using the iteration, thereafter, analytical approximations given in the article may be used. Not more than twenty steps are needed in any given iteration to obtain the accuracy stated above. Calculations of the dimensionless load capacities of plane bearings show that the method is at least one order of magnitude faster than the method based on a two-dimensional rectangular array of points. The superiority is even more marked when calculations are made for a family of plane bearings having the same inclination but different breadth/length ratios.
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