Solving the Incompressible and Isothermal Problem in Elastohydrodynamic Lubrication Through an Integral Equation

[+] Author and Article Information
K. Herrebrugh

Laboratory of Machine Components, University of Technology, Delft, The Netherlands

J. of Lubrication Tech 90(1), 262-270 (Jan 01, 1968) (9 pages) doi:10.1115/1.3601545 History: Received November 09, 1966; Online August 23, 2011


It will be shown that the hydrodynamic and elasticity equations in elastohydrodynamic lubrication can be coupled to one single integral equation of the following form:

H(x) = f(x)
   − T ab K(x, ξ)F{H(ξ)}dξ
in which f(x) and K(x, ξ) are both known analytic functions inside [a, b], and F(H) is in general a nonlinear function of the dimensionless film thickness. A numerical solution of this integral equation for constant viscosity is presented for a large range of loading conditions.

Copyright © 1968 by ASME
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