Research on Real Tooth Surface Deviation Correction of Spiral Bevel Gear Based on Truncated Singular Value Decomposition

Shu Han Chen; Hong Zhi Yan; Shang Hong He

doi:10.4028/www.scientific.net/AMR.201-203.1562

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 201-203Research on Real Tooth Surface Deviation...

Research on Real Tooth Surface Deviation Correction of Spiral Bevel Gear Based on Truncated Singular Value Decomposition

Abstract:

According to structure of traditional milling machine, the tooth surface error identification model of forming processing spiral bevel gear is established by the 4×4 Denavit-Hartenberg homogeneous transformation matrix, the gear meshing theory and so on. In view of the present commonly used least squares method’s solution defects, the truncated singular value decomposition (TSVD) and the L curve method are proposed to solve the identification model and the solution method accuracy was verified by the example and experiment. The results show that the gear concave average error is at 0.01498mm before correction, and the average error will drop down to 0.00084mm after using this method correction, and the error corrects 94.4%. The gear convex average error is at 0.00846mm before correction and the average error will drop down to 0.00176mm after using this method correction and the error corrects 79.2%.

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Advanced Manufacturing Systems, ICMSE 2011

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Periodical:

Advanced Materials Research (Volumes 201-203)

Pages:

1562-1568

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.201-203.1562

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Online since:

February 2011

Authors:

Shu Han Chen, Hong Zhi Yan, Shang Hong He

Keywords:

Correction, L Curve Method, Spiral Bevel Gear, Tooth Surface Error, TSVD

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References

[1] F. L. Litivin, Y. Zhang, J. Kieffer and R. F. Handschuh: Journal of Mechanical Design, ASME Vol. 113(1991), p.55.

Google Scholar

[2] C.Y. Lin, C.B. Tsay and Z.H. Fong: Mech. Mach. Theory Vol. 33(1998), p.785.

Google Scholar

[3] C.Y. Lin, C.B. Tsay and Z.H. Fong: Journal of Materials Processing Technology Vol. 114 (2001), p.22.

Google Scholar

[4] Y.P. Shih, Z.H. Fong: Journal of Mechanical Design, ASME Vol. 129(2007), p.1294.

Google Scholar

[5] Y.P. Shih, Z.H. Fong: Journal of Mechanical Design, ASME Vol. 130 (2008), pp.062604-1.

Google Scholar

[6] F. Qi, S.D. Ronald and W.S. John: Journal of Mechanical Design, ASME Vol. 130(2008), pp.072601-1.

Google Scholar

[7] A. Alessio, G. Marco and G. Massimo: Journal of Mechanical Design, ASME Vol. 130(2008), pp.112602-1.

Google Scholar

[8] C.H. Kuo, M. Moghaddam: IEEE Transactions on Antennas and Propagation Vol. 54(2006), p.2917.

Google Scholar

[9] K. S. Dorota, R. Marek: International Journal of Applied Electromagnetics and Mechanics Vol. 22(2005)p.233.

Google Scholar

[10] R. Lothar, S. Hassane: Journal of Computational and Applied Mathematics Vol. 219(2008), P. 493.

Google Scholar