General Mathematical Model of Internal Meshing Spiral Bevel Gears for Nutation Drive

Zheng Lin; Li Gang Yao

doi:10.4028/www.scientific.net/AMM.101-102.708

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 101-102General Mathematical Model of Internal Meshing...

General Mathematical Model of Internal Meshing Spiral Bevel Gears for Nutation Drive

Abstract:

The general mathematical model of internal meshing spiral bevel gears for nutation drive is studied. Based on conventional enveloping theory and transmission principle, the meshing of two spiral bevel gears in nutation drive was substituted by the meshing of an imaginary rotating crown gear engaging with the external and internal bevel gear respectively. The general mathematical model of crown gear was established. Then the general mathematical model of internal meshing spiral bevel gears is obtained by matrix transformation, which is suitable for a variety of gear tooth profiles. Finally, the mathematical model and 3D modeling of double circular-arc spiral bevel gears are developed.

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Periodical:

Applied Mechanics and Materials (Volumes 101-102)

Pages:

708-712

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.101-102.708

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Online since:

September 2011

Authors:

Zheng Lin, Li Gang Yao

Keywords:

General Mathematical Model, Internal Meshing, Nutation Drive, Spiral Bevel Gear

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References

[1] Z. Lin, L. G. Yao and S. J. Huang: Advanced Materials Research, Vols. 97-101 (2010), pp.3128-3134.

Google Scholar

[2] C .B. Tsay and J. Y. Lin: Mathematical and Computer Modelling, Vol. 18 (1993), pp.23-34.

Google Scholar

[3] Y. Tsai and P. Chin: ASME J. Mech. Transm. Autom. Des. Vol. 109 (1987) No. 4, pp.443-449.

Google Scholar

[4] B. Subba Rao, M. S. Shunmugam and V. Jayaprakash: Journal of Materials Processing Technology, Vol. 44 (1994), pp.327-334.

DOI: 10.1016/0924-0136(94)90446-4

Google Scholar

[5] M. S. Shunmugam, B. Rao and V. Jayapraksh: Mech. Mach. Theory, Vol. 33 (1998) No. 5, pp.525-534.

Google Scholar

[6] F. L. Litvin, A. Fuentes, C. Zanzi, M. Pontigga and R. F. Handschuh: Comput. Methods Appl. Engrg, Vol. 191 (2002), pp.2785-2813.

Google Scholar

[7] M. Vimercati: Mech. Mach. Theory, Vol. 42 (2007), pp.668-690.

Google Scholar

[8] B. Gu, L. G. Yao, et al: Material Science Forum, Vols. 505-507 (2005), pp.949-954.

Google Scholar

[9] Y. J. Cai, L. G. Yao, B. Gu: Drive System Technique, Vol. 21 (2007), pp.21-25 (in Chinese).

Google Scholar

[10] L. G. Yao, B. Gu, S. J. Haung, et al: ASME J. of Mech. Design, Vol. 132 (2010), p.021008. 1-10.

Google Scholar