Elastohydrodynamic squeeze problem of two rotating cylinders is analyzed under the conditions of both flooded and starved lubrication in this paper. The Reynolds equation and an elastic equation are solved simultaneously by the Newton-Raphson method and their solutions show that the approaching velocity decreases with a decrease of the film thickness for a certain rolling velocity and load capacity, and an entrapment appears in the film profile for a large approaching velocity. Under the condition of starved lubrication, it is made clear that the load capacity and the frictional force for a certain film thickness and rolling velocity under a small approaching velocity decrease largely when the inlet coordinate comes closer to the contact center and that the effect of the inlet coordinate on them is small under a large approaching velocity.
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Wada et al. (1981) studied this question.