Generalized method for calculating the durability of sliding bearings with technological out-of-roundness of details

Chernets, M. V.; Chernets, Ju

doi:10.1177/1350650114554242

Cited by 22 publications

(27 citation statements)

References 10 publications

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“…The approximate solution of the equation ( 1) is achieved by the collocation method. The function of contact pressures p is presented in the form of [12][13][14][15][16]:…”

Section: Solution Methodsmentioning

confidence: 99%

Study of Contact Pressures in Total Hip Replacement

Czerniec¹,

Zubrzycki²

2020

Preprint

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Total hip arthroplasty is a complex procedure. The achievements of implantology enabled the development of a faithful representation of hip joint physiology as well as the production of materials that can successfully replace damaged natural tissues. A very important issue is the correct selection of the geometry of the endoprosthesis adequate to the load of the joint. Materials used for endoprosthesis are a metal head and a polymer cup (e.g. PE-UHMW). The main interactions in the endoprosthesis are friction and surface pressure, which must be limited, exceeding them causes the destruction of the biomechanical system - plastic deformation of the polymer and the formation of too large and unacceptable radial clearances. Based on the author's developed calculation method of hip joint endoprosthesis contact parameters, the impact on maximum contact pressure and the angle of contact of the joint load was estimated depending on the diameter of the endoprosthesis and radial clearance. The correctness of changing the values of maximum contact pressure from the mentioned parameters was determined. Correspondingly: an increase in joint load causes a linear increase in the maximum contact pressure; increasing the diameter of the endoprosthesis head - their non-linear decrease, and increasing radial clearance - their increase

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“…The approximate solution of the equation ( 1) is achieved by the collocation method. The function of contact pressures p is presented in the form of [12][13][14][15][16]:…”

Section: Solution Methodsmentioning

confidence: 99%

Study of Contact Pressures in Total Hip Replacement

Czerniec¹,

Zubrzycki²

2020

Preprint

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“…This research is dedicated to solve this pressing problem. For this purpose, the correct analytical methods [21,22] for calculating the wear of sliding bearings with metallic contacting elements, including the small non-circularity of shaft and bushing contours [22][23][24][25][26], were used. They are based on the methodology of the wear kinetics study at sliding friction as a process of friction -fatigue destruction of the surface layers of materials of tribosystem elements [21,27].…”

Section: Research Conditionsmentioning

confidence: 99%

“…where f is the coefficient of friction; p is the contact pressure calculated by the methods of elasticity theory [5-9, etc. ], in particular in this model by the methods given in [5,22,[25][26][27][28].…”

Section: Mathematical Model Of the Wear Kinetics At Sliding Frictionmentioning

confidence: 99%

Methodology of Calculation of Metal-polymer Sliding Bearings for Contact Strength, Durability and Wear

Chernets¹,

Chernets²,

Kindrachuk³

et al. 2020

Tribol. Ind.

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“…Compare equation (5), with respect to equation (33). Considering the importance of function K(') in term (28), the boundary conditions (29) and (30), then after integration of equation (28) in the h direction, the equation for the pressure function can be written as…”

Section: Hydrodynamic Journal Bearing With the Influence Of Hydrophilmentioning

confidence: 99%

Numerical analysis and simulations of the magnetic field and hydrophobicity effect on the journal bearing dynamics

Fialová

Pochylý

Malenovský

2016

Proceedings of the Institution of Mechanical Engineers, Part J:

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The article contains mathematical models of Reynolds equation with the effects of hydrophobicity of surface and magnetic field. The first section provides a new mathematical model of the solution of the generalized Reynolds equation and its application for a hydrophilic surface. It also derives a new boundary condition for the contact of a flowing liquid with a hydrophobic surface. This wettability condition is defined in dependence on the adhesion coefficient k. The second part presents mathematical models of Reynolds equation including the effect of hydrophobia and magnetic field. For all problems, the solutions are shown and the definitions of the stiffness and damping matrices of the liquid layer are outlined. From the results, it can be deduced that hydrophobic surface significantly affects the velocity profile of the liquid. It leads to a higher effect of the Lorentz force and thus of the magnetic field in comparison with a hydrophilic surface of the bearing lining.

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Generalized method for calculating the durability of sliding bearings with technological out-of-roundness of details

Cited by 22 publications

References 10 publications

Study of Contact Pressures in Total Hip Replacement

Study of Contact Pressures in Total Hip Replacement

Methodology of Calculation of Metal-polymer Sliding Bearings for Contact Strength, Durability and Wear

Numerical analysis and simulations of the magnetic field and hydrophobicity effect on the journal bearing dynamics

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