Mathematical model of a radial bearing with a low-melting metal coating of design models of hydrodynamic viscoelastic lubricant formed by melting the surface of a bearing bush coated with a metallic low-melting coating

Abstract

Abstract The work is based on equations of motion of viscoelastic lubricant (Maxwell fluid) for the case of “thin layer”, continuity and the formula of the rate of dissipation of mechanical energy. We found asymptotic solution to the degrees of small parameter K, characterizing the rate of dissipation of mechanical energy. This allows determining the molten surface of the bearing sleeve covered with a fusible metal melt, taking into account the dependence of the viscosity of the lubricant and the shear modulus of pressure in the adiabatic process. For zero approximation under adiabatic process conditions, i.e. without taking into account the melt surface, and a solution for the first approximation, i.e., taking into account the melt surface of the bearing sleeve covered with a fusible metal melt, the exact self-similar solution of the problem with incomplete (pre-emergency) filling of the working gap with a lubricant having viscoelastic properties is found.. On the basis of the results obtained for the zero and first approximation, the bearing capacity and friction force are found at incomplete filling of the working gap with a lubricant. In addition, for verification calculations of the obtained theoretical models, a numerical calculation was carried out and as a result, graphs showing a decrease in the friction coefficient by about 20% were constructed.