Abstract
This paper is concerned with the solution of isothermal, isoviscous, elastohydrodynamic lubrication of a rigid cylinder rolling or sliding on an elastic strip of finite thickness. The strip may be attached to a rigid foundation (bonded) or resting on a rigid foundation (unbonded). Both the pressure and the displacement are expressed in terms of Chebyshev polynomials of the first kind, T n ( x), and a numerical scheme is developed to obtain a convergent solution. Results are presented for a wide range of the elasticity parameter g 3, the depth parameter γ = a t (ratio of contact halfwidth to depth) and Poisson's ratio v. Results for a bonded strip with v = 0.5 showed good agreement with those reported by Hooke, and these were used to generate an approximate formula for the prediction of the minimum film thickness.
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