Calculation of Tooth Surface Equation for Spiral Bevel Gears Based on Vector Transformation

Jian Gong Gu; Jianming Xue; Deshan Xing; Zongde Fang

doi:10.1109/ICOMSSC45026.2018.8941769

Calculation of Tooth Surface Equation for Spiral Bevel Gears Based on Vector Transformation

Jian Gong Gu, Jianming Xue, Deshan Xing, Zongde Fang

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A new algorithm to obtain various complicated tooth surface equations like one of spiral bevel gears is presented. The algorithm utilizes the envelope relationship between the cutting tool and the work piece and vector transformation including vector rotation and movement. It only requires individual processing coordinate system. In contrast to the traditional algorithms, the algorithm can not only simplify the establishment of reference frames, but also avoid the matrix operation during coordinate transformation. Finally, through comparing the calculated tooth surface of a pinion with the processed one, the results show that the deviation distributions of both pinion concave and convex surfaces are logical and the algorithm is accurate.

Original language	English
Title of host publication	Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	712-716
Number of pages	5
ISBN (Electronic)	9781538667514
DOIs	https://doi.org/10.1109/ICOMSSC45026.2018.8941769
State	Published - Sep 2018
Externally published	Yes
Event	2018 International Computers, Signals and Systems Conference, ICOMSSC 2018 - Dalian, China Duration: 28 Sep 2018 → 30 Sep 2018

Publication series

Name	Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018

Conference

Conference	2018 International Computers, Signals and Systems Conference, ICOMSSC 2018
Country/Territory	China
City	Dalian
Period	28/09/18 → 30/09/18

Keywords

processing coordinate system
spiral bevel gear
tooth surface equation
vector transformation

Access to Document

10.1109/ICOMSSC45026.2018.8941769

Cite this

Gu, J. G., Xue, J., Xing, D., & Fang, Z. (2018). Calculation of Tooth Surface Equation for Spiral Bevel Gears Based on Vector Transformation. In Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018 (pp. 712-716). Article 8941769 (Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICOMSSC45026.2018.8941769

Gu, Jian Gong ; Xue, Jianming ; Xing, Deshan et al. / Calculation of Tooth Surface Equation for Spiral Bevel Gears Based on Vector Transformation. Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 712-716 (Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018).

@inproceedings{e3239ab903a248db9891c171154d5074,

title = "Calculation of Tooth Surface Equation for Spiral Bevel Gears Based on Vector Transformation",

abstract = "A new algorithm to obtain various complicated tooth surface equations like one of spiral bevel gears is presented. The algorithm utilizes the envelope relationship between the cutting tool and the work piece and vector transformation including vector rotation and movement. It only requires individual processing coordinate system. In contrast to the traditional algorithms, the algorithm can not only simplify the establishment of reference frames, but also avoid the matrix operation during coordinate transformation. Finally, through comparing the calculated tooth surface of a pinion with the processed one, the results show that the deviation distributions of both pinion concave and convex surfaces are logical and the algorithm is accurate.",

keywords = "processing coordinate system, spiral bevel gear, tooth surface equation, vector transformation",

author = "Gu, {Jian Gong} and Jianming Xue and Deshan Xing and Zongde Fang",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018 ; Conference date: 28-09-2018 Through 30-09-2018",

year = "2018",

month = sep,

doi = "10.1109/ICOMSSC45026.2018.8941769",

language = "英语",

series = "Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "712--716",

booktitle = "Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018",

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Gu, JG, Xue, J, Xing, D & Fang, Z 2018, Calculation of Tooth Surface Equation for Spiral Bevel Gears Based on Vector Transformation. in Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018., 8941769, Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018, Institute of Electrical and Electronics Engineers Inc., pp. 712-716, 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018, Dalian, China, 28/09/18. https://doi.org/10.1109/ICOMSSC45026.2018.8941769

Calculation of Tooth Surface Equation for Spiral Bevel Gears Based on Vector Transformation. / Gu, Jian Gong; Xue, Jianming; Xing, Deshan et al.
Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 712-716 8941769 (Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Calculation of Tooth Surface Equation for Spiral Bevel Gears Based on Vector Transformation

AU - Gu, Jian Gong

AU - Xue, Jianming

AU - Xing, Deshan

AU - Fang, Zongde

PY - 2018/9

Y1 - 2018/9

N2 - A new algorithm to obtain various complicated tooth surface equations like one of spiral bevel gears is presented. The algorithm utilizes the envelope relationship between the cutting tool and the work piece and vector transformation including vector rotation and movement. It only requires individual processing coordinate system. In contrast to the traditional algorithms, the algorithm can not only simplify the establishment of reference frames, but also avoid the matrix operation during coordinate transformation. Finally, through comparing the calculated tooth surface of a pinion with the processed one, the results show that the deviation distributions of both pinion concave and convex surfaces are logical and the algorithm is accurate.

AB - A new algorithm to obtain various complicated tooth surface equations like one of spiral bevel gears is presented. The algorithm utilizes the envelope relationship between the cutting tool and the work piece and vector transformation including vector rotation and movement. It only requires individual processing coordinate system. In contrast to the traditional algorithms, the algorithm can not only simplify the establishment of reference frames, but also avoid the matrix operation during coordinate transformation. Finally, through comparing the calculated tooth surface of a pinion with the processed one, the results show that the deviation distributions of both pinion concave and convex surfaces are logical and the algorithm is accurate.

KW - processing coordinate system

KW - spiral bevel gear

KW - tooth surface equation

KW - vector transformation

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BT - Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018

PB - Institute of Electrical and Electronics Engineers Inc.

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Gu JG, Xue J, Xing D, Fang Z. Calculation of Tooth Surface Equation for Spiral Bevel Gears Based on Vector Transformation. In Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 712-716. 8941769. (Proceedings of 2018 International Computers, Signals and Systems Conference, ICOMSSC 2018). doi: 10.1109/ICOMSSC45026.2018.8941769

Calculation of Tooth Surface Equation for Spiral Bevel Gears Based on Vector Transformation

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