A Modified Approach to the Rack Generation of Beveloid Gears

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Izvoz citacije: ABNT
ŞENTÜRK, Berat Gürcan ;FETVACI, Mahmut Cüneyt .
A Modified Approach to the Rack Generation of Beveloid Gears. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 70, n.1-2, p. 80-91, october 2023. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/a-modified-approach-to-rack-generation-of-beveloid-gears/>. Date accessed: 11 dec. 2024. 
doi:http://dx.doi.org/10.5545/sv-jme.2023.722.
Şentürk, B., & Fetvacı, M.
(2024).
A Modified Approach to the Rack Generation of Beveloid Gears.
Strojniški vestnik - Journal of Mechanical Engineering, 70(1-2), 80-91.
doi:http://dx.doi.org/10.5545/sv-jme.2023.722
@article{sv-jmesv-jme.2023.722,
	author = {Berat Gürcan  Şentürk and Mahmut Cüneyt  Fetvacı},
	title = {A Modified Approach to the Rack Generation of Beveloid Gears},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {70},
	number = {1-2},
	year = {2024},
	keywords = {beveloid gears; mathematical modelling; rack-type cutters; parametric modelling; involute profile; },
	abstract = {The purpose of this paper is to present an easier and more efficient method for the determination of the geometry of a bevelled gear tooth. Based on a method that provides an easier way for the rack generation of involute helical gears, the mathematical model of a beveloid gear is studied. The mathematical procedure for developing two-dimensional cross-sections has been extended to three-dimensional gear models. A computer programme is developed to obtain generating and generated surfaces. The proposed algorithm is compared with the previous studies for verification and validation. The results demonstrate that the coordinates obtained from the given method are nearly the same on the start and end points of the main gear parts, such as the involute and root fillets regions. Also, between the limits, the values can be considered acceptable. A coordinate deviation of the gear profile has been observed in the mathematical model, because of the profile shift. Modifications have been developed in the equations to eliminate these cases. The main advantage of the proposed method is to obtain mathematical models without carrying out some of the calculation steps used in previous studies. Eventually, this feature will provide an easier and faster method to develop computer-aided models of the beveloid gear types.},
	issn = {0039-2480},	pages = {80-91},	doi = {10.5545/sv-jme.2023.722},
	url = {https://www.sv-jme.eu/sl/article/a-modified-approach-to-rack-generation-of-beveloid-gears/}
}
Şentürk, B.,Fetvacı, M.
2024 October 70. A Modified Approach to the Rack Generation of Beveloid Gears. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 70:1-2
%A Şentürk, Berat Gürcan 
%A Fetvacı, Mahmut Cüneyt 
%D 2024
%T A Modified Approach to the Rack Generation of Beveloid Gears
%B 2024
%9 beveloid gears; mathematical modelling; rack-type cutters; parametric modelling; involute profile; 
%! A Modified Approach to the Rack Generation of Beveloid Gears
%K beveloid gears; mathematical modelling; rack-type cutters; parametric modelling; involute profile; 
%X The purpose of this paper is to present an easier and more efficient method for the determination of the geometry of a bevelled gear tooth. Based on a method that provides an easier way for the rack generation of involute helical gears, the mathematical model of a beveloid gear is studied. The mathematical procedure for developing two-dimensional cross-sections has been extended to three-dimensional gear models. A computer programme is developed to obtain generating and generated surfaces. The proposed algorithm is compared with the previous studies for verification and validation. The results demonstrate that the coordinates obtained from the given method are nearly the same on the start and end points of the main gear parts, such as the involute and root fillets regions. Also, between the limits, the values can be considered acceptable. A coordinate deviation of the gear profile has been observed in the mathematical model, because of the profile shift. Modifications have been developed in the equations to eliminate these cases. The main advantage of the proposed method is to obtain mathematical models without carrying out some of the calculation steps used in previous studies. Eventually, this feature will provide an easier and faster method to develop computer-aided models of the beveloid gear types.
%U https://www.sv-jme.eu/sl/article/a-modified-approach-to-rack-generation-of-beveloid-gears/
%0 Journal Article
%R 10.5545/sv-jme.2023.722
%& 80
%P 12
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 70
%N 1-2
%@ 0039-2480
%8 2023-10-27
%7 2023-10-27
Şentürk, Berat Gürcan, & Mahmut Cüneyt  Fetvacı.
"A Modified Approach to the Rack Generation of Beveloid Gears." Strojniški vestnik - Journal of Mechanical Engineering [Online], 70.1-2 (2024): 80-91. Web.  11 Dec. 2024
TY  - JOUR
AU  - Şentürk, Berat Gürcan 
AU  - Fetvacı, Mahmut Cüneyt 
PY  - 2024
TI  - A Modified Approach to the Rack Generation of Beveloid Gears
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2023.722
KW  - beveloid gears; mathematical modelling; rack-type cutters; parametric modelling; involute profile; 
N2  - The purpose of this paper is to present an easier and more efficient method for the determination of the geometry of a bevelled gear tooth. Based on a method that provides an easier way for the rack generation of involute helical gears, the mathematical model of a beveloid gear is studied. The mathematical procedure for developing two-dimensional cross-sections has been extended to three-dimensional gear models. A computer programme is developed to obtain generating and generated surfaces. The proposed algorithm is compared with the previous studies for verification and validation. The results demonstrate that the coordinates obtained from the given method are nearly the same on the start and end points of the main gear parts, such as the involute and root fillets regions. Also, between the limits, the values can be considered acceptable. A coordinate deviation of the gear profile has been observed in the mathematical model, because of the profile shift. Modifications have been developed in the equations to eliminate these cases. The main advantage of the proposed method is to obtain mathematical models without carrying out some of the calculation steps used in previous studies. Eventually, this feature will provide an easier and faster method to develop computer-aided models of the beveloid gear types.
UR  - https://www.sv-jme.eu/sl/article/a-modified-approach-to-rack-generation-of-beveloid-gears/
@article{{sv-jme}{sv-jme.2023.722},
	author = {Şentürk, B., Fetvacı, M.},
	title = {A Modified Approach to the Rack Generation of Beveloid Gears},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {70},
	number = {1-2},
	year = {2024},
	doi = {10.5545/sv-jme.2023.722},
	url = {https://www.sv-jme.eu/sl/article/a-modified-approach-to-rack-generation-of-beveloid-gears/}
}
TY  - JOUR
AU  - Şentürk, Berat Gürcan 
AU  - Fetvacı, Mahmut Cüneyt 
PY  - 2023/10/27
TI  - A Modified Approach to the Rack Generation of Beveloid Gears
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 70, No 1-2 (2024): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2023.722
KW  - beveloid gears, mathematical modelling, rack-type cutters, parametric modelling, involute profile, 
N2  - The purpose of this paper is to present an easier and more efficient method for the determination of the geometry of a bevelled gear tooth. Based on a method that provides an easier way for the rack generation of involute helical gears, the mathematical model of a beveloid gear is studied. The mathematical procedure for developing two-dimensional cross-sections has been extended to three-dimensional gear models. A computer programme is developed to obtain generating and generated surfaces. The proposed algorithm is compared with the previous studies for verification and validation. The results demonstrate that the coordinates obtained from the given method are nearly the same on the start and end points of the main gear parts, such as the involute and root fillets regions. Also, between the limits, the values can be considered acceptable. A coordinate deviation of the gear profile has been observed in the mathematical model, because of the profile shift. Modifications have been developed in the equations to eliminate these cases. The main advantage of the proposed method is to obtain mathematical models without carrying out some of the calculation steps used in previous studies. Eventually, this feature will provide an easier and faster method to develop computer-aided models of the beveloid gear types.
UR  - https://www.sv-jme.eu/sl/article/a-modified-approach-to-rack-generation-of-beveloid-gears/
Şentürk, Berat Gürcan, AND Fetvacı, Mahmut Cüneyt.
"A Modified Approach to the Rack Generation of Beveloid Gears" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 70 Number 1-2 (27 October 2023)

Avtorji

Inštitucije

  • Dogus University, Turkey 1
  • İstanbul University-Cerrahpaşa, Turkey 2

Informacije o papirju

Strojniški vestnik - Journal of Mechanical Engineering 70(2024)1-2, 80-91
© The Authors 2024. CC BY 4.0 Int.

https://doi.org/10.5545/sv-jme.2023.722

The purpose of this paper is to present an easier and more efficient method for the determination of the geometry of a bevelled gear tooth. Based on a method that provides an easier way for the rack generation of involute helical gears, the mathematical model of a beveloid gear is studied. The mathematical procedure for developing two-dimensional cross-sections has been extended to three-dimensional gear models. A computer programme is developed to obtain generating and generated surfaces. The proposed algorithm is compared with the previous studies for verification and validation. The results demonstrate that the coordinates obtained from the given method are nearly the same on the start and end points of the main gear parts, such as the involute and root fillets regions. Also, between the limits, the values can be considered acceptable. A coordinate deviation of the gear profile has been observed in the mathematical model, because of the profile shift. Modifications have been developed in the equations to eliminate these cases. The main advantage of the proposed method is to obtain mathematical models without carrying out some of the calculation steps used in previous studies. Eventually, this feature will provide an easier and faster method to develop computer-aided models of the beveloid gear types.

beveloid gears; mathematical modelling; rack-type cutters; parametric modelling; involute profile;