Realization of Expected Direction Angle of SGM Spiral Bevel Gears Based on Local Synthesis

Abstract:

The authors propose an optimization method based on local synthesis to fulfill the expected contact path (ECP) at mean contact point (M) of spiral bevel gears. The method is a combination of local synthesis, tooth contact analysis (TCA) and application of optimization. Machine-tool settings based on local synthesis are found and contact path (CP) on tooth surface is formed. TCA extracts the information from CP and transforms it to a projected CP (PCP) by rotation in a plane across gear axis. An objective function is established by contrasting ECP to PCP. A program in Matlab language is developed for the simulation of objective function optimization. A spiral bevel gear drive in aviation accessory gear box is used to prove the feasibility of the proposed method. It shows that the method is effective and does not affect transmission errors very much for the realization of ECP.

• Periodical: Applied Mechanics and Materials (Volumes 37-38)
• Pages: 927-933
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.37-38.927
• Online since: November 2010
• Authors: Guang Lei Liu, Yue Jun Tian, Ping Jiang
• Keywords: Contact Path, Local Synthesis, Spiral Bevel Gear, Tooth Contact Analysis (TCA)

References

[1] F.L. Litvin: Theory of Gearing, 2nd ed. (Nauka, Soviet Union 1968).

[2] F.L. Litvin and Y. Gutman: ASME. Mech. Design, Vol. 103 (1981), pp.83-113.

[3] F.L. Litvin: Gear Geometry and Applied Theory. (Prentice Hall, USA 1994).

[4] F.L. Litvin and Y. Zhang: NASA CR-4342, AVSCOM TR-90-C-028, NASA Office of Management Scientific and Technical Information Division, (1991).

[5] F.L. Litvin, A.G. Wang and R.F. Handschuh: Computer Methods in Applied Mechanics and Engineering, Vol. 158 (1998), No. 1-2, pp.35-64.

[6] A. John, F. Alfonso and F.L. Litvin: Computer Methods in Applied Mechanics and Engineering, Vol. 191 (2002) No. 11-12, pp.1057-1095.

[7] F. L. Litvin, F. Alfonso, B. R. Mullins and R. Woods: NASA/CR-2001-210894, ARL-CR-467, National Technical Information Service, (2003).

[8] F.L. Litvin, F. Alfonso and Hayasaka: Mechanism and Machine Theory, Vol. 41 (2006) No. 1, pp.83-118.

[9] F.L. Litvin, D. Vecchiato, E. Gurovich, A. Fuentes, I. Gonzalez-Perez, K. Hayasaka and K. Yukishima: Meccanica, Vol. 40 (2005), pp.291-324.

DOI: 10.1007/s11012-005-4020-y

[10] F.L. Litvin, D. Vecchiato and K. Yukishima: Computer Methods in Applied Mechanics and Engineeringm, Vol. 195 (2006) No. 41-43, pp.5523-5536.

DOI: 10.1016/j.cma.2005.05.055

[11] G.I. Sheveleva, A.E. Volkov and V.I. Medvedev: Mechanism and Machine Theory, Vol. 42 (2007) No. 2, pp.198-215.

[12] X.B. Tian and Z.D. Fang: Mechanical Science and Technology, Vol. 18 (1999) No. 6, pp.956-960. (in Chinese).

[13] X.M. Cao, Z.D. Fang and J.L. Zhang: Chinese Journal of Mechanical Engineering, Vol. 43 (2007) No. 8, pp.155-158. (in Chinese).

[14] X.M. Cao, Z.D. Fang and H. Xu: Chinese Journal of Mechanical Engineering, Vol. 44 (2008) No. 7, pp.209-214. (in Chinese).

[15] X.M. Cao, Z.D. Fang and H. Xu: Journal of Aerospace Power, Vol. 23 (2008) No. 1, pp.189-194. (in Chinese).

[16] X.M. Cao, Z.D. Fang, H. Xu and Z. B. Zhu: Chinese Journal of Aeronautics, Vol. 21 (2008), pp.79-186.

[17] B.Y. Wei, Z.D. Fang, Y.W. Zhou: Journal of Northwestern Polytechnical University, Vol. 21 (2003) No. 6, pp.757-760. (in Chinese).