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윤활유 부족 상태에서의 볼 베어링 유막 두께 변화에 대한 연구

A Study on the Change in the Film Thickness of Ball Bearing in Starved EHL

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주제분류기계공학

초록

In this study, we perform a numerical analysis to predict the film thickness and lubrication regions for a thrust ball bearing under different operating conditions. Film thinning and replenishment affect the film thickness in starved lubrication. As the inlet meniscus position is brought to the edge of the Hertz contact, the thin film thickness is calculated as starved equation. We use a film replenishment model to determine the recovery film thickness between rolling elements. We use a hydrodynamic model to describe film recovery, that results from the effects of surface tension. In this model, we consider the surface tension gradient in fluid depression as the driving force for fluid recovery. We use Fourier transform method to determine the time-dependent depth of depressed oil. We calculate the change in the central film thickness graphically by using the recovery equation in starved elastohydrodynamic lubrication(EHL) under operating conditions that include numbers of balls, sliding velocity, applied force, and ambient film thickness. We evaluate the degree of starvation by using the distance from the center of the contact area to the meniscus position. Parched lubrication, a phenomenon where the film thickness decreases consistently, occurs at the severe condition. We determine optimal values with respect to the numbers of balls, and sliding velocity. The investigation can contribute to the design operating conditions for proper lubrication.

Abstract

In this study, we perform a numerical analysis to predict the film thickness and lubrication regions for a thrust ball bearing under different operating conditions. Film thinning and replenishment affect the film thickness in starved lubrication. As the inlet meniscus position is brought to the edge of the Hertz contact, the thin film thickness is calculated as starved equation. We use a film replenishment model to determine the recovery film thickness between rolling elements. We use a hydrodynamic model to describe film recovery, that results from the effects of surface tension. In this model, we consider the surface tension gradient in fluid depression as the driving force for fluid recovery. We use Fourier transform method to determine the time-dependent depth of depressed oil. We calculate the change in the central film thickness graphically by using the recovery equation in starved elastohydrodynamic lubrication(EHL) under operating conditions that include numbers of balls, sliding velocity, applied force, and ambient film thickness. We evaluate the degree of starvation by using the distance from the center of the contact area to the meniscus position. Parched lubrication, a phenomenon where the film thickness decreases consistently, occurs at the severe condition. We determine optimal values with respect to the numbers of balls, and sliding velocity. The investigation can contribute to the design operating conditions for proper lubrication.

참고문헌 (16)

  1. Hamrock, Bernard, J., "Fundamentals of fluid film lubrication" (2004), CRC press
  2. Johnson, K. L., "Contact mechanics", pp.84~ (1985), Cambridge University Press
  3. Wedeven, L. D., "Optical analysis of ball bearing starvation", Journal of Lubrication Technology (1970)
  4. Chiu, Y. P., "An analysis and prediction of lubricant film starvation in rolling contact systems", ASLE Transactions, 17(1), pp.22~35 (1974)
  5. Pemberton, J., "A mechanism of fluid replenishment in elastohydrodynamic contacts", Wear, 37(1), pp.185~190 (1976)
  6. Kingsbury, E., "Parched elastohydrodynamic lubrication", Journal of Tribology, 107(2), pp.229~232 (1985)
  7. Guangteng, G., "A study of parched lubrication", Wear, 153(1), pp.91~105 (1992)
  8. Liu, Jianhai, "Fully flooded, starved and parched lubrication at a point contact system", Wear, 159(1), pp.135~140 (1992)
  9. Chevalier, F., "Film thickness in starved EHL point contacts", ~ (1998)
  10. Cann, Philippa, "An analysis of the mechanisms of grease lubrication in rolling element bearings", Lubrication Science, 11(3), pp.227~245 (1999)
  11. Cann, P. M. E., "Thin-film grease lubrication", Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 213(5), pp.405~416 (1999)
  12. Cann, P. M. E., "The transition between fully flooded and starved regimes in EHL", Tribology International, 37(10), pp.859~864 (2004)
  13. Chen, Jing, "Experimental study of starvation and flow behavior in grease-Lubricated EHD contact", Tribology Online, 10(1), pp.48~55 (2015)
  14. Nogi, Takashi, "An analysis of starved EHL Point contacts with reflow", Tribology Online, 10(1), pp.64~75 (2015)
  15. Nogi, Takashi, "Film thickness and rolling resistance in starved elastohydrodynamic lubrication of point contacts with reflow", Journal of Tribology, 137(4), pp.041502~ (2015)
  16. Maruyama, Taisuke, "Relationship between supplied oil flow rates and oil film thicknesses under starved elastohydrodynamic lubrication", Lubricants, 3(2), pp.365~380 (2015)

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