Structural Engineering and Mechanics

  • 제43권4호
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  • Pages.439-448
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  • 2012
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Finite element generalized tooth contact analysis of double circular arc helical gears

  • Qu, Wentao (School of Mechanical Engineering, Xi'an Shiyou University) ;
  • Peng, Xiongqi (School of Materials Science and Engineering, Shanghai Jiao Tong University) ;
  • Zhao, Ning (School of Mechatronics, Northwestern Polytechnical University) ;
  • Guo, Hui (School of Mechatronics, Northwestern Polytechnical University)
  • 투고 : 2010.05.01
  • 심사 : 2012.08.06
  • 발행 : 2012.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper investigates the load sharing of double circular arc helical gears considering the influence of assembly errors. Based on a load sharing formulae, a three-dimensional finite element tooth contact analysis (TCA) is implemented with commercial software package ANSYS. The finite element grid for the double circular arc gear contact model is automatically generated by using the APDL (ANSYS Parameter Design Language) embedded in ANSYS. The realistic rotation of gears is achieved by using a coupling degree-of-freedom method. Numerical simulations are carried out to exemplify the proposed approach. The distribution of contact stress and bending stress under specific loading conditions are computed and compared with those obtained from Hertz contact theory and empirical formulae to demonstrate the efficiency of the proposed load sharing calculation formulae and TCA approach.

키워드

참고문헌

  1. Bair, B.W., Chen, C.F., Chen, S.F. and Chou, C.Y. (2007), "Mathematical model and characteristic analysis of elliptical gears manufactured by circular-arc shaper cutters", J. Mech. Des., 129, 210-217. https://doi.org/10.1115/1.2406091
  2. Bair, B.W., Sung, M.H., Wang, J.S. and Chen, C.F. (2009), "Tooth profile generation and analysis of oval gears with circular-arc teeth", Mech. Mach. Theory, 44, 1306-1317. https://doi.org/10.1016/j.mechmachtheory.2008.07.003
  3. Chen, D.X. (2004), Handbook of Machine Design, China Railway Press, Beijing.
  4. Falah, A.H. and Elkholy, A.H. (2008), "Load sharing and stress analysis of single enveloping worm gearing considering transmission errors", Int. J. Adv. Manuf. Tech., 37, 211-220. https://doi.org/10.1007/s00170-007-0965-4
  5. Litvin, F.L. and Lu, J. (1993), "Computerized simulation of generation, meshing and contact of double circulararc helical gears", Math. Comput. Model, 18, 31-47.
  6. Litvin, F.L. and Lu, J. (1995), "Computerized design and generation of double circular-arc helical gears with low transmission errors", Comput. Meth. Appl. Mech. Eng., 127, 57-86. https://doi.org/10.1016/0045-7825(95)00849-8
  7. Liu, C.H., Cheng, I., Tsai, A.C., Wang, L.J. and Hsu, J.Y. (2010), "Using multiple point constraints in finite element analysis of two dimensional Contact problems", Struct. Eng. Mech., 36, 95-110. https://doi.org/10.12989/sem.2010.36.1.095
  8. Lu, J., Litvin, F.L. and Chen, J.S. (1995), "Load share and finite element stress analysis for double circular-arc helical gears", Math. Comput. Model, 21, 13-30.
  9. Medvedev, V.I., Volkov, A.E. and Skorodumov, O.I. (2008), "Reliability, Durability, and Wear Resistance of Machines and Constructions: Increasing the loading capacity of circular-arc teeth of conic gears without a significant change in dimensions", J. Mach. Manuf. Reliab., 37, 152-159. https://doi.org/10.3103/S1052618808020106
  10. Rahgozar, R., Ahmadi, A.Z., Hosseini O. and Malekinejad, M. (2011) "Simple mathematical model for static analysis of tall buildings with two Outrigger-Belt Truss systems", Struct. Eng. Mech., 40, 65-84. https://doi.org/10.12989/sem.2011.40.1.065
  11. Simon, V. (2007), "Load distribution in spiral bevel gears", J. Mech. Des., 129, 201-209. https://doi.org/10.1115/1.2406090
  12. Tsai, C.F., Liang, T.L. and Yang, S.C. (2008), "Using double envelope method on a planetary gear mechanism with double circular-arc tooth", T. Can. Soc. Mech. Eng., 32, 267-281.
  13. Tseng, R.T. and Tsay, C.B. (2004), "Contact characteristics of cylindrical gears with curvilinear shaped teeth", Mech. Mach. Theory, 39, 905-919. https://doi.org/10.1016/j.mechmachtheory.2004.04.006
  14. Tseng, R.T. and Tsay, C.B. (2006), "Undercutting and contact characteristics of cylindrical gears with curvilinear shaped teeth generated by hobbing", J. Mech. Des., 128, 634-643. https://doi.org/10.1115/1.2181605
  15. Wu, Y.C., Chen, K.Y. and Tsay, C.B. (2009), "Contact characteristics of circular-arc curvilinear tooth gear drives", J. Mech. Des., 131, 081003.1-081003.8
  16. Xu, B.Y. (1984), Elastoplasticity and Its Application, China Machine Press, Beijing.
  17. Yang, S.C. (2009), "Mathematical model of a stepped triple circular-arc gear", Mech. Mach. Theory, 44, 1019- 1031. https://doi.org/10.1016/j.mechmachtheory.2008.05.013
  18. Zhang, Y. and Fang, Z. (1999), "Analysis of tooth contact and load distribution of helical gears with crossed axes", Mech. Mach. Theory, 34, 41-57. https://doi.org/10.1016/S0094-114X(98)00006-8

피인용 문헌

  1. Design and finite element analysis for helical gears with pinion circular arc teeth and gear parabolic curve teeth vol.10, pp.1, 2016, https://doi.org/10.1299/jamdsm.2016jamdsm0009
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