Simulation of non-steady contact in rolling bearings

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This article deals with the problem of non-steady hydrodynamic contact of a roller with finite size elastic plate. The lubricant viscosity coefficient is assumed to be exponential function of the pressure. For this problem, an iterative numerical method was elaborated to solve the 2-D Reynolds’ equation consistently with the integral equation of relationship between the surface deflection and pressure distribution in the lubrication layer. A normal motion of the roller causes additional pressure enhancement in the lubrication layer, which is proportional to the normal velocity. Coefficient of proportionality is called as damping coefficient. Carrying capacity and damping coefficient are determined from numerical solution as functions of minimal distance between the roller and plate. The obtained functions were used for modeling of the roller oscillations due to sudden variations of the external loading. Characteristic relaxation time and temporal variations of the pressure maximum are determined. Dependence of the pressure maximum on a special piezo-coefficient was investigated, which is a parameter of the exponential function approximating relationship between viscosity and pressure. Higher values of the piezo-coefficient yield larger values of the pressure maximum in the lubrication layer during the relaxation period. However, deflection of the body surfaces makes an opposite effect on the pressure. Therefore behavior of the pressure maximum is determined by two opposite factors related to the viscosity piezo-effect and surface deformations. From numerical simulations, a critical value of the piezo-coefficient is found when the influence of the piezo-coefficient is compensated by that of deformation of the elastic plate.

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Transient mode, contact interaction, lubricant layer

Короткий адрес: https://sciup.org/148177456

IDR: 148177456

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