Formulae for the squeeze film between a rigid cylinder and a thin elastic layer with sinusoidal waviness

A set of formulae for the variation of the film thickness with time when a rigid cylinder approaching a thin elastic layer with sinusoidal waviness is derived. The shapes of the solids are assumed to be the same as the elastically deformed surfaces under dry conditions. Two geometrical configurations are investigated. First, the layer is resting without friction on a rigid substrate (unbonded layer). Second, the layer is attached firmly to a rigid substrate (bonded layer). The obtained results showed a good agreement with those reported for a smooth bonded layer.