This paper concerns the derivation of the stochastic modified Reynolds equations describing the hydrodynamic pressure for non-Newtonian, viscoelastic, lubricant inside the curvilinear orthogonal (spherical, conical, cylindrical, parabolic ) slide bearing. Non- isothermal, unsteady and random flow conditions and thermal deformations of the bearing and its bearing sleeve are taken into account. This problem finds application in ship power plants, electric locomotive designing, and precision engineering. In particular case are determined pressure and capacity distributions in spherical bearing.
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