The implementation of stable micro-EHL lubrication of friction bearing assemblies according to the results of mathematical modeling are achieved due to the increase in the thickness of the lubricating layer according to its distribution in the central and minimum contact zones, taking into account the change in the ellipticity of the contact shape under the dominant influence of the rolling speed and dynamic viscosity of the lubricant. Empirical equations were established based on the results of modeling of the estimation of the minimum thickness hmin at the exit from the contact and the thickness of the lubricating layer in the central micro-EHL zone of the contact h0, as a function of dimensionless variable parameters: speed U, load W, materials G and the ellipticity parameter k, which are recorded in dimensional coordinates (μm) in the form: \({\text{h}}_{\text{min}}=3.37\cdot {\text{U}}^{0.67}\cdot {\text{W}}^{-0.076}\cdot {\text{G}}^{0.48}\cdot \left(1-{\text{e}}^{-0.59\text{k}}\right)\cdot {\text{R}}_{\text{x}};\) \({\text{h}}_{0}=2.43\cdot {\text{U}}^{0.66}\cdot {\text{W}}^{-0.059}\cdot {\text{G}}^{0.55}\cdot \left(1-\text{0,65}\cdot {\text{e}}^{-0.49\text{k}}\right)\cdot {\text{R}}_{\text{x}},\) made taking into account the change in the type of lubricant and the ellipticity of the contact shape.

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Modeling of the Micro-EHL Assessment of Lubrication Taking into Account the Change in Ellipticity Forms of Friction Bearing Contact Forms

  • Oleksandr Milanenko,
  • Ivan Bohdanov,
  • Nadiia Reznik

摘要

The implementation of stable micro-EHL lubrication of friction bearing assemblies according to the results of mathematical modeling are achieved due to the increase in the thickness of the lubricating layer according to its distribution in the central and minimum contact zones, taking into account the change in the ellipticity of the contact shape under the dominant influence of the rolling speed and dynamic viscosity of the lubricant. Empirical equations were established based on the results of modeling of the estimation of the minimum thickness hmin at the exit from the contact and the thickness of the lubricating layer in the central micro-EHL zone of the contact h0, as a function of dimensionless variable parameters: speed U, load W, materials G and the ellipticity parameter k, which are recorded in dimensional coordinates (μm) in the form: \({\text{h}}_{\text{min}}=3.37\cdot {\text{U}}^{0.67}\cdot {\text{W}}^{-0.076}\cdot {\text{G}}^{0.48}\cdot \left(1-{\text{e}}^{-0.59\text{k}}\right)\cdot {\text{R}}_{\text{x}};\) \({\text{h}}_{0}=2.43\cdot {\text{U}}^{0.66}\cdot {\text{W}}^{-0.059}\cdot {\text{G}}^{0.55}\cdot \left(1-\text{0,65}\cdot {\text{e}}^{-0.49\text{k}}\right)\cdot {\text{R}}_{\text{x}},\) made taking into account the change in the type of lubricant and the ellipticity of the contact shape.