Mathematical model of viscoplastic lubrication of friction bearing with deformable base

The analysis technique of the radial bearing with a deformable base on the ground of Reynolds equation analog for viscoplastic lubrication, and of Lame equation for ‘thin layer’ case is given. The technique permitting to form the accurate self-similar solution to the problem considered is offered. The obtained analytical dependences allow estimating the effects of the nondimensional plasticity parameter and the elastic hydrodynamic parameter on the bearing principle operation factors. The results show that the bearing capacity and the frictional force values grow with the increase of plasticity parameter and the elastic hydrodynamic parameter values. In the limiting case when the elastic hydrodynamic parameter goes to infinity, the bearing capacity value and the frictional force go to the proper values for the bearing with a rigid base. In the admitted approximation, the bearing capacity and the frictional force value are directly proportional to the plasticity parameter.