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곡률 커플링 접촉각에 따른 접촉 강성 및 굽힘 강성해석

Analysis of Contact Stiffness and Bending Stiffness according to Contact Angle of Curvic Coupling

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초록

Coupling is a mechanical component that transmits rotational force by connecting two shafts. Curvic coupling is widely used in high-performance systems because of its excellent power transmission efficiency and easy machining. However, coupling applications change dynamic behavior by reducing the stiffness of an entire system. Contact surface stiffness is an important parameter that determines the dynamic behavior of a system. In addition, the roughness profile of a contact surface is the most important parameter for obtaining contact stiffness. In this study, we theoretically establish the process of contact and bending stiffness analysis by considering the rough surface contact at Curvic coupling. Surface roughness parameters are obtained from Nayak's random process, and the normal contact stiffness of a contact surface is calculated using the Greenwood and Williamson model in the elastic region and the Jackson and Green model in the elastic–plastic region. The shape of the Curvic coupling contact surface is obtained by modeling a machined shape through an actual machining tool. Based on this modeling, we find the maximum number of gear teeth that can be machined according to the contact angle. Curvic coupling stiffness is calculated by considering the contact angle, and the calculation process is divided into stick and slip conditions. Based on this process, we investigate the stiffness characteristics according to the contact angle.

Abstract

Coupling is a mechanical component that transmits rotational force by connecting two shafts. Curvic coupling is widely used in high-performance systems because of its excellent power transmission efficiency and easy machining. However, coupling applications change dynamic behavior by reducing the stiffness of an entire system. Contact surface stiffness is an important parameter that determines the dynamic behavior of a system. In addition, the roughness profile of a contact surface is the most important parameter for obtaining contact stiffness. In this study, we theoretically establish the process of contact and bending stiffness analysis by considering the rough surface contact at Curvic coupling. Surface roughness parameters are obtained from Nayak's random process, and the normal contact stiffness of a contact surface is calculated using the Greenwood and Williamson model in the elastic region and the Jackson and Green model in the elastic–plastic region. The shape of the Curvic coupling contact surface is obtained by modeling a machined shape through an actual machining tool. Based on this modeling, we find the maximum number of gear teeth that can be machined according to the contact angle. Curvic coupling stiffness is calculated by considering the contact angle, and the calculation process is divided into stick and slip conditions. Based on this process, we investigate the stiffness characteristics according to the contact angle.

참고문헌 (15)

  1. Nayak, P. Ranganath, "Some aspects of surface roughness measurement", Wear, 26(2), pp.165~174 (1973)[DOI]
  2. Greenwood, J. A., "Contact of nominally flat surfaces", Proceedings of the Royal Society of London. A: Mathematical, Physical and Engineering Sciences, 295(1442) (1966)
  3. Kogut, L., "Elastic-plastic contact analysis of a sphere and a rigid flat", Journal of Applied Mechanics, 69(5), pp.657~662 (2002)
  4. Jackson, R. L., "A finite element study of elasto-plastic hemispherical contact against a rigid flat", Journal of Tribology, 127, pp.343~354 (2005)[DOI]
  5. Li, L., "Contact area and static friction of rough surfaces with high plasticity Index", Journal of Tribology, 132(3), pp.1~10 (2010)
  6. Mindlin, R. D., "Compliance of elastic bodies in contact", J. of Appl. Mech, 16, pp.259~268 (1949)
  7. Yuan, Q., "Analysis of dynamic characteristics of gas turbine rotor considering contact effects and pre-tightening force", ASME Turbo Expo, pp.983~988 (2008)
  8. Peng, H., "Rotor dynamic analysis of tie-bolt fastened rotor based on elastic-plastic contact", ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, pp.365~373 (2011)
  9. Yuan, S., "Study on the equivalent stiffness of heavy-duty gas turbines composite rotor with curvic couplings and spindle tie-bolts", ASME 2011 Power Conference, pp.567~576 (2011)
  10. Gao, J., "Effects of bending moments and pretightening forces on the flexural stiffness of contact interfaces in rod-fastened rotors", Journal of Engineering for Gas Turbines and Power, 134 (2012)
  11. 추효준, "거친 표면의 접촉피로 수명예측", 한국트라이볼로지학회지, 21(3), pp.136~141 (2005), 한국트라이볼로지학회
  12. 김태완, "거친 표면의 돌기 방향성에 따른 EHL 해석", 한국트라이볼로지학회지, 25(5), pp.342~347 (2009), 한국트라이볼로지학회
  13. "WORKS, Gleason, ROCHESTER, N. Y., Curvic Coupling Design. Gleason Works", ~ (1973)
  14. Zhang, Wei,, "Adhesive contact on randomly rough surfaces based on the double-Hertz model", Journal of Applied Mechanics, 81(5) (2014)
  15. "ISO 4288, Geometrical Product Specifications (GPS) - Surface texture: Profile method. Rules and procedures for the assessment of surface texture. International", British Standards Institute, ~ (1996)

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