The Mathematical Model of Spiral Bevel Gears – A Review

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WANG, Jixin ;KONG, Long ;LIU, Bangcai ;HU, Xinpeng ;YU, Xiangjun ;KONG, Weikang .
The Mathematical Model of Spiral Bevel Gears – A Review. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 60, n.2, p. 93-105, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/the-mathematical-model-of-spiral-bevel-gears-a-review/>. Date accessed: 09 dec. 2024. 
doi:http://dx.doi.org/10.5545/sv-jme.2013.1357.
Wang, J., Kong, L., Liu, B., Hu, X., Yu, X., & Kong, W.
(2014).
The Mathematical Model of Spiral Bevel Gears – A Review.
Strojniški vestnik - Journal of Mechanical Engineering, 60(2), 93-105.
doi:http://dx.doi.org/10.5545/sv-jme.2013.1357
@article{sv-jmesv-jme.2013.1357,
	author = {Jixin  Wang and Long  Kong and Bangcai  Liu and Xinpeng  Hu and Xiangjun  Yu and Weikang  Kong},
	title = {The Mathematical Model of Spiral Bevel Gears – A Review},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {60},
	number = {2},
	year = {2014},
	keywords = {Spiral bevel gear; mathematical model; matrix method; vector method; geometry method},
	abstract = {The spiral bevel gear (SBG) is a key component of power transmission of intersection axes. Since mathematical model of SBG is a basis for stress and thermal analysis, optimization of machine settings, analysis frictional contact in lubricated condition, and advanced manufacture technology, the research on designing and manufacturing SBG based on mathematical model of SBG has been a hot topic in the field of mechanical transmission for a long time. The significance of research on mathematical model lies not only in analyzing and building the tooth surface model, but also in investigating the designing principles and manufacturing processes. This paper will do comprehensive literature review about the mathematical modeling of SBG. The methods of building mathematical models such as matrix method, vector method and geometry method, will be illustrated, compared and summarized in details. Furthermore, research history and applications of each method of building mathematical model of SBG are presented for better understanding. Based on application of mathematical model of SBG, it’s also indicated that more manufacturing methods could be possible updated or explored with future developments of universal milling machine technologies and computer aided manufacturing methods.},
	issn = {0039-2480},	pages = {93-105},	doi = {10.5545/sv-jme.2013.1357},
	url = {https://www.sv-jme.eu/article/the-mathematical-model-of-spiral-bevel-gears-a-review/}
}
Wang, J.,Kong, L.,Liu, B.,Hu, X.,Yu, X.,Kong, W.
2014 June 60. The Mathematical Model of Spiral Bevel Gears – A Review. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 60:2
%A Wang, Jixin 
%A Kong, Long 
%A Liu, Bangcai 
%A Hu, Xinpeng 
%A Yu, Xiangjun 
%A Kong, Weikang 
%D 2014
%T The Mathematical Model of Spiral Bevel Gears – A Review
%B 2014
%9 Spiral bevel gear; mathematical model; matrix method; vector method; geometry method
%! The Mathematical Model of Spiral Bevel Gears – A Review
%K Spiral bevel gear; mathematical model; matrix method; vector method; geometry method
%X The spiral bevel gear (SBG) is a key component of power transmission of intersection axes. Since mathematical model of SBG is a basis for stress and thermal analysis, optimization of machine settings, analysis frictional contact in lubricated condition, and advanced manufacture technology, the research on designing and manufacturing SBG based on mathematical model of SBG has been a hot topic in the field of mechanical transmission for a long time. The significance of research on mathematical model lies not only in analyzing and building the tooth surface model, but also in investigating the designing principles and manufacturing processes. This paper will do comprehensive literature review about the mathematical modeling of SBG. The methods of building mathematical models such as matrix method, vector method and geometry method, will be illustrated, compared and summarized in details. Furthermore, research history and applications of each method of building mathematical model of SBG are presented for better understanding. Based on application of mathematical model of SBG, it’s also indicated that more manufacturing methods could be possible updated or explored with future developments of universal milling machine technologies and computer aided manufacturing methods.
%U https://www.sv-jme.eu/article/the-mathematical-model-of-spiral-bevel-gears-a-review/
%0 Journal Article
%R 10.5545/sv-jme.2013.1357
%& 93
%P 13
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 60
%N 2
%@ 0039-2480
%8 2018-06-28
%7 2018-06-28
Wang, Jixin, Long  Kong, Bangcai  Liu, Xinpeng  Hu, Xiangjun  Yu, & Weikang  Kong.
"The Mathematical Model of Spiral Bevel Gears – A Review." Strojniški vestnik - Journal of Mechanical Engineering [Online], 60.2 (2014): 93-105. Web.  09 Dec. 2024
TY  - JOUR
AU  - Wang, Jixin 
AU  - Kong, Long 
AU  - Liu, Bangcai 
AU  - Hu, Xinpeng 
AU  - Yu, Xiangjun 
AU  - Kong, Weikang 
PY  - 2014
TI  - The Mathematical Model of Spiral Bevel Gears – A Review
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2013.1357
KW  - Spiral bevel gear; mathematical model; matrix method; vector method; geometry method
N2  - The spiral bevel gear (SBG) is a key component of power transmission of intersection axes. Since mathematical model of SBG is a basis for stress and thermal analysis, optimization of machine settings, analysis frictional contact in lubricated condition, and advanced manufacture technology, the research on designing and manufacturing SBG based on mathematical model of SBG has been a hot topic in the field of mechanical transmission for a long time. The significance of research on mathematical model lies not only in analyzing and building the tooth surface model, but also in investigating the designing principles and manufacturing processes. This paper will do comprehensive literature review about the mathematical modeling of SBG. The methods of building mathematical models such as matrix method, vector method and geometry method, will be illustrated, compared and summarized in details. Furthermore, research history and applications of each method of building mathematical model of SBG are presented for better understanding. Based on application of mathematical model of SBG, it’s also indicated that more manufacturing methods could be possible updated or explored with future developments of universal milling machine technologies and computer aided manufacturing methods.
UR  - https://www.sv-jme.eu/article/the-mathematical-model-of-spiral-bevel-gears-a-review/
@article{{sv-jme}{sv-jme.2013.1357},
	author = {Wang, J., Kong, L., Liu, B., Hu, X., Yu, X., Kong, W.},
	title = {The Mathematical Model of Spiral Bevel Gears – A Review},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {60},
	number = {2},
	year = {2014},
	doi = {10.5545/sv-jme.2013.1357},
	url = {https://www.sv-jme.eu/article/the-mathematical-model-of-spiral-bevel-gears-a-review/}
}
TY  - JOUR
AU  - Wang, Jixin 
AU  - Kong, Long 
AU  - Liu, Bangcai 
AU  - Hu, Xinpeng 
AU  - Yu, Xiangjun 
AU  - Kong, Weikang 
PY  - 2018/06/28
TI  - The Mathematical Model of Spiral Bevel Gears – A Review
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 60, No 2 (2014): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2013.1357
KW  - Spiral bevel gear, mathematical model, matrix method, vector method, geometry method
N2  - The spiral bevel gear (SBG) is a key component of power transmission of intersection axes. Since mathematical model of SBG is a basis for stress and thermal analysis, optimization of machine settings, analysis frictional contact in lubricated condition, and advanced manufacture technology, the research on designing and manufacturing SBG based on mathematical model of SBG has been a hot topic in the field of mechanical transmission for a long time. The significance of research on mathematical model lies not only in analyzing and building the tooth surface model, but also in investigating the designing principles and manufacturing processes. This paper will do comprehensive literature review about the mathematical modeling of SBG. The methods of building mathematical models such as matrix method, vector method and geometry method, will be illustrated, compared and summarized in details. Furthermore, research history and applications of each method of building mathematical model of SBG are presented for better understanding. Based on application of mathematical model of SBG, it’s also indicated that more manufacturing methods could be possible updated or explored with future developments of universal milling machine technologies and computer aided manufacturing methods.
UR  - https://www.sv-jme.eu/article/the-mathematical-model-of-spiral-bevel-gears-a-review/
Wang, Jixin, Kong, Long, Liu, Bangcai, Hu, Xinpeng, Yu, Xiangjun, AND Kong, Weikang.
"The Mathematical Model of Spiral Bevel Gears – A Review" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 60 Number 2 (28 June 2018)

Authors

Affiliations

  • Jilin University, School of Mechanical Science and Engineering, China 1
  • XCMGH Hydraulic Component Co., Ltd, China 2
  • Kunming University, College of Automatic Control and Mechanical Engineering, China 3

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 60(2014)2, 93-105
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.

https://doi.org/10.5545/sv-jme.2013.1357

The spiral bevel gear (SBG) is a key component of power transmission of intersection axes. Since mathematical model of SBG is a basis for stress and thermal analysis, optimization of machine settings, analysis frictional contact in lubricated condition, and advanced manufacture technology, the research on designing and manufacturing SBG based on mathematical model of SBG has been a hot topic in the field of mechanical transmission for a long time. The significance of research on mathematical model lies not only in analyzing and building the tooth surface model, but also in investigating the designing principles and manufacturing processes. This paper will do comprehensive literature review about the mathematical modeling of SBG. The methods of building mathematical models such as matrix method, vector method and geometry method, will be illustrated, compared and summarized in details. Furthermore, research history and applications of each method of building mathematical model of SBG are presented for better understanding. Based on application of mathematical model of SBG, it’s also indicated that more manufacturing methods could be possible updated or explored with future developments of universal milling machine technologies and computer aided manufacturing methods.

Spiral bevel gear; mathematical model; matrix method; vector method; geometry method