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Misalignment가 있는 유한한 선접촉 EHL 문제의 수치해석

Numerical Analysis of Misaligned Finite Line Contacts EHL Problem

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주제분류기계공학

초록

The rollers of cylindrical roller bearing are axially profiled to relieve high edge stress concentration caused by mainly their finite length and by misalignment. In this paper, a numerical analysis is carried to study the EHL of misaligned (tilted) rollers with axially profiled ends. Using a finite difference method with non-uniform grids and the Newton-Raphson method, the highly nonlinear EHL problems are systematically solved. Physically consistent solutions are obtained for moderate load, material parameters and very small misalignment. For different misalignment angles, contours and sectional plots of pressure and film shape near both edge regions are compared. The asymmetric pressure distributions and film shapes show that the EHL results of finite line contacts are highly dependent upon very small amounts of roller misalignment. Especially, the effect of misalignment on the EHL pressure distribution is much higher than the film shapes.

Abstract

The rollers of cylindrical roller bearing are axially profiled to relieve high edge stress concentration caused by mainly their finite length and by misalignment. In this paper, a numerical analysis is carried to study the EHL of misaligned (tilted) rollers with axially profiled ends. Using a finite difference method with non-uniform grids and the Newton-Raphson method, the highly nonlinear EHL problems are systematically solved. Physically consistent solutions are obtained for moderate load, material parameters and very small misalignment. For different misalignment angles, contours and sectional plots of pressure and film shape near both edge regions are compared. The asymmetric pressure distributions and film shapes show that the EHL results of finite line contacts are highly dependent upon very small amounts of roller misalignment. Especially, the effect of misalignment on the EHL pressure distribution is much higher than the film shapes.

참고문헌 (14)

  1. Heydari, M, "The Influence of Axial Profile on Pressure Distribution in Radially Loaded Rollers", J. of Mech. Eng. Sci, 21, pp.38~388 (1979)
  2. Dowson, D, "A Numerical Solution to the Elastohydrodynamic Problem", J. of Mech. Eng. Sci, 1, pp.7~15 (1959)
  3. Hamrock, B. J, "Isothermal Elastohydrodynamic Lubrication of Point Contacts, Part 3 : Fully Flooded Results", J. of Lub. Tech, 99, pp.264~276 (1977)
  4. Chen, X, "Review and Prospect of Developments in EHL of Finite Line Contacts", Proc. of IUTAM Sympo. on Elastohydrodynamics and Micro-elastohydro- dynamics, pp.95~106 (2004)
  5. Wymer, D. G, "Elastohydro- dynamic Lubrication of a Line Contact", Proc. IMechE, 188, pp.221~231 (1973)
  6. Mostofi, A, "Elastohydrodynamic Lubrication of Finite Line Contacts", J. of Lub. Tech, 105, pp.598~604 (1983)
  7. 박태조, "유한한 선접촉 탄성유체윤활문제의 수치해석", 대한기계학회논문집, 11(4), pp.579~585 (1987)
  8. 박태조, "프로파일링을 한 원통형 로울러의 탄성유체윤활(I)", 대한기계학회논문집, 12(2), pp.262~270 (1988)
  9. 박태조, "프로파일링을 한 원통형 로울러의 탄성유체윤활(II)", 대한기계학회논문집, 15(6), pp.1975~1981 (1991)
  10. Park, T. J, "Elastohydro- dynamic Lubrication of a Finite Line Contacts", Wear, 223(1), pp.102~109 (1998)
  11. Park, T. J, "Effect of Roller Axial Profile on the EHL of Finite Cylindrical Roller", Proc. of ECOT-RIB 2009, ~ (2009), Paper No. B1-HE2-148
  12. 박태조, "구름", 스핀 운동을 하는 경우의 타원접촉 EHL 유막두께, 2008, pp.24(6), 355~361[DOI]
  13. Kushwaha, M, "Aligned and Misaligned Contacts of Rollers to Races in Elastohydrodynamic Finite Line Conjunctions", Proc.IMechE, J. of Mech. Eng. Sci, 216, pp.1051~1069 (2002)
  14. Park, T. J, "A Numerical Analysis of the Elastohydrodynamic Lubrication of Elliptical Contacts", Wear, 136, pp.299~312 (1990)

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