# Construction of a model for the distribution of radial load among the bearing's rolling bodies

## Authors

• Anatoly Gaydamaka National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002, Ukraine
• Viktor Klitnoy National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002, Ukraine
• Yuriy Muzikin National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002, Ukraine
• Vladimir Tat'kov National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002, Ukraine
• Iryna Hrechka National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002, Ukraine

## Keywords:

load distribution model, bearing's rolling bodies, forcesalong rings'rolling tracks

## Abstract

We have proposed analytical and computer models related to the distribution of radial load among the rolling bodies in a single-row radial bearing.We have analyzed patternsin the geometry and deformation of parts, as well as gaps in the bearing without taking into consideration the different positions of centers of the inner and outer rings. The latter can significantly affect the distribution of radial load among rolling bodies and cause the slippage of rolling bodies on rings.

The present study aims to refine the estimated value of load distribution among the bearing's rolling bodies. The closer the result of calculation of load distribution, especially, on the central rolling body, to the actual value, the more accurately the resourceis determined. That largely defines the reliability of a machine, as well as the cost of repair and replacement of bearings. It is equally important when determining the fatigue strength and durability of the separator to know as accurately as possible the magnitudes and directions of action of radial forces on the rolling bodies at the edges of the bearing's loading zone. It is these forces that determine the loads acting on the separator.

We have constructed geometrical equations that link the radial encounters of rings, physical equations that relate the encounters of rings and rolling bodies to forces, a condition for equilibrium of the inner ring taking into consideration the different positions of centers of the outer and inner rings of the bearing. We have identified tangential forces along the rings'rolling tracks, which cause the slippage of rolling bodies in the bearing's loading zone;a formula for determining their values has been derived. The calculation of distribution of load among thebearing's rolling bodies based on the constructed analytical model demonstrates a 5 % decrease in radial forces that act on the central rolling body, and a 3 % increase in radial forces that act on rollers at the edges of thebearing's loading zone compared to known model. That improves the estimated resource of the bearing in terms of contact-fatigue damage to rings and rolling bodies by 18.6 %.

The new analytical model for the distribution of radial load could be applied in the theory of calculation of resource for bearings ofincreased lift capacityin terms of contact-fatigue damage to rings and rolling bodies considering the structure of the separator

## Author Biographies

### Anatoly Gaydamaka, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Professor

Department of machine parts and mechatronic systems

### Viktor Klitnoy, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, Associate Professor

Department of machine parts and mechatronic systems

### Yuriy Muzikin, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, ProfessorDepartment of machine parts and mechatronic systems

### Iryna Hrechka, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, Associate Professor

Department of theory and computer aided design of mechanisms and machines

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2018-12-10

## How to Cite

Gaydamaka, A., Klitnoy, V., Muzikin, Y., Tat’kov, V., & Hrechka, I. (2018). Construction of a model for the distribution of radial load among the bearing’s rolling bodies. Eastern-European Journal of Enterprise Technologies, 6(7 (96), 39–44. https://doi.org/10.15587/1729-4061.2018.149964

## Section

Applied mechanics