For an incompressible lubricant in the bearing sliding surfaces of the spherical segments with the adjusted surfaces

Oleg Zavyalov,S Bratan,S Roshchupkin,S Leonov,S Gorbatyuk

doi:10.1051/matecconf/201822402005

Oleg Zavyalov, S Bratan + Show 3 more

Open Access

https://doi.org/10.1051/matecconf/201822402005

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Abstract

A mechanism consisting of a deformable surface and a gear unit with a curve is considered. An incompressible viscous liquid is applied to the surface. The gear unit rotates or moves along the surface. Under the influence of the load, the gear unit can deform the surface. Such a mechanism can be considered as a sliding bearing. Using the tensor analysis apparatus, it is proved that in all cases a thin layer of incompressible lubricant is formed. The results of the following studies are presented: The effect of the lubricant with harmonic oscillations of the gear unit is normal to the surface. With the harmonic oscillations of the gear unit, the velocity distribution of the liquid in a thin liquid layer depends only on the dimensionless amplitude of the oscillations. The incompressible fluid flows out beyond the edges of the gear unit when the thickness of the layer (the movement of the tooth to the surface) decreases between it and the surface and flows from outside with the increasing thickness (removing the tooth from the surface). The appearance of the bearing capacity of such a mechanism is associated with the forces of friction and inertia inside the fluid.

Highlights

An important contribution to the development of the hydrodynamic lubrication theory was made by A
A number of studies have examined the effect of forces of inertia of liquid on the characteristics of the hydrodynamic layer
Stodola (1925), who considered the movement of the shaft on the lubrication layer, the Subsequent work on the sliding supports can be divided into two groups

Summary

Statement of the problem

An important contribution to the development of the hydrodynamic lubrication theory was made by A. In these works, the use of viscous liquids and gases as a lubricant was considered. Stodola (1925), who considered the movement of the shaft on the lubrication layer, the Subsequent work on the sliding supports can be divided into two groups. In the works of the first group, the study of the dynamics of the shaft in the sliding bearing was studied by direct integration of the equations of motion. In the works of the second group in the equations of motion of the disk laid in addition to the characteristics of lubrication, and the elastic parameters of the surface. The diversity of structures and the continuous growth of speeds in mechanical engineering and instrument-making led to the further development of the hydrodynamic lubrication theory and the account of non-stationary processes in the lubricant layer

Equations and mathematics

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