Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation

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WANG, Guangjian ;SU, Li ;ZOU, Shuaidong .
Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 66, n.2, p. 91-104, february 2020. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/uneven-load-contact-dynamic-modeling-and-transmission-error-analysis-of-2k-v-reducer-with-eccentricity-excitation/>. Date accessed: 26 jan. 2021. 
doi:http://dx.doi.org/10.5545/sv-jme.2019.6298.
Wang, G., Su, L., & Zou, S.
(2020).
Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation.
Strojniški vestnik - Journal of Mechanical Engineering, 66(2), 91-104.
doi:http://dx.doi.org/10.5545/sv-jme.2019.6298
@article{sv-jmesv-jme.2019.6298,
	author = {Guangjian  Wang and Li  Su and Shuaidong  Zou},
	title = {Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {66},
	number = {2},
	year = {2020},
	keywords = {2K-V reducer;nonlinear dynamics; transmission error;uneven load contact;eccentricity error},
	abstract = {In this paper, the formula of non-load transmission error (TE) and time-varying backlash is derived through the incremental meshing line method based on the eccentricity error model of 2K-V gear pair with small tooth difference. Considering the influence of uneven load contact between two gear pairs with small tooth difference, the static transmission error (STE) of a 2K-V gear pair with small tooth difference is deduced. This work helps to predict the TE caused by eccentricity error and provide inference to compensate backlash. Also, we establish the nonlinear dynamic model of 2K-V small tooth difference under eccentricity excitation, in which non-linear factors such as non-uniform load, time-varying backlash, transmission error and contact stiffness are considered, and validated the theoretical model by comparing the dynamic transmission error in simulation and in theory. Furthermore, the transmission error of the 2K-V gear reducer was tested, and the test results further verified the uneven load contact phenomenon of the gear pair with small tooth difference in the meshing process. At the same time, the experimental transmission error frequency spectrum is consistent with the theoretical results, indicating that the transmission accuracy of the 2K-V reducer is mainly caused by the eccentricity error of the gear pair with small tooth difference. Finally, we optimized the initial eccentricity phase and predicted the minimum transmission error, providing theoretical guidance for the assembly of 2K-V small tooth difference gear pairs.},
	issn = {0039-2480},	pages = {91-104},	doi = {10.5545/sv-jme.2019.6298},
	url = {https://www.sv-jme.eu/article/uneven-load-contact-dynamic-modeling-and-transmission-error-analysis-of-2k-v-reducer-with-eccentricity-excitation/}
}
Wang, G.,Su, L.,Zou, S.
2020 February 66. Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 66:2
%A Wang, Guangjian 
%A Su, Li 
%A Zou, Shuaidong 
%D 2020
%T Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation
%B 2020
%9 2K-V reducer;nonlinear dynamics; transmission error;uneven load contact;eccentricity error
%! Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation
%K 2K-V reducer;nonlinear dynamics; transmission error;uneven load contact;eccentricity error
%X In this paper, the formula of non-load transmission error (TE) and time-varying backlash is derived through the incremental meshing line method based on the eccentricity error model of 2K-V gear pair with small tooth difference. Considering the influence of uneven load contact between two gear pairs with small tooth difference, the static transmission error (STE) of a 2K-V gear pair with small tooth difference is deduced. This work helps to predict the TE caused by eccentricity error and provide inference to compensate backlash. Also, we establish the nonlinear dynamic model of 2K-V small tooth difference under eccentricity excitation, in which non-linear factors such as non-uniform load, time-varying backlash, transmission error and contact stiffness are considered, and validated the theoretical model by comparing the dynamic transmission error in simulation and in theory. Furthermore, the transmission error of the 2K-V gear reducer was tested, and the test results further verified the uneven load contact phenomenon of the gear pair with small tooth difference in the meshing process. At the same time, the experimental transmission error frequency spectrum is consistent with the theoretical results, indicating that the transmission accuracy of the 2K-V reducer is mainly caused by the eccentricity error of the gear pair with small tooth difference. Finally, we optimized the initial eccentricity phase and predicted the minimum transmission error, providing theoretical guidance for the assembly of 2K-V small tooth difference gear pairs.
%U https://www.sv-jme.eu/article/uneven-load-contact-dynamic-modeling-and-transmission-error-analysis-of-2k-v-reducer-with-eccentricity-excitation/
%0 Journal Article
%R 10.5545/sv-jme.2019.6298
%& 91
%P 14
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 66
%N 2
%@ 0039-2480
%8 2020-02-13
%7 2020-02-13
Wang, Guangjian, Li  Su, & Shuaidong  Zou.
"Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation." Strojniški vestnik - Journal of Mechanical Engineering [Online], 66.2 (2020): 91-104. Web.  26 Jan. 2021
TY  - JOUR
AU  - Wang, Guangjian 
AU  - Su, Li 
AU  - Zou, Shuaidong 
PY  - 2020
TI  - Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2019.6298
KW  - 2K-V reducer;nonlinear dynamics; transmission error;uneven load contact;eccentricity error
N2  - In this paper, the formula of non-load transmission error (TE) and time-varying backlash is derived through the incremental meshing line method based on the eccentricity error model of 2K-V gear pair with small tooth difference. Considering the influence of uneven load contact between two gear pairs with small tooth difference, the static transmission error (STE) of a 2K-V gear pair with small tooth difference is deduced. This work helps to predict the TE caused by eccentricity error and provide inference to compensate backlash. Also, we establish the nonlinear dynamic model of 2K-V small tooth difference under eccentricity excitation, in which non-linear factors such as non-uniform load, time-varying backlash, transmission error and contact stiffness are considered, and validated the theoretical model by comparing the dynamic transmission error in simulation and in theory. Furthermore, the transmission error of the 2K-V gear reducer was tested, and the test results further verified the uneven load contact phenomenon of the gear pair with small tooth difference in the meshing process. At the same time, the experimental transmission error frequency spectrum is consistent with the theoretical results, indicating that the transmission accuracy of the 2K-V reducer is mainly caused by the eccentricity error of the gear pair with small tooth difference. Finally, we optimized the initial eccentricity phase and predicted the minimum transmission error, providing theoretical guidance for the assembly of 2K-V small tooth difference gear pairs.
UR  - https://www.sv-jme.eu/article/uneven-load-contact-dynamic-modeling-and-transmission-error-analysis-of-2k-v-reducer-with-eccentricity-excitation/
@article{{sv-jme}{sv-jme.2019.6298},
	author = {Wang, G., Su, L., Zou, S.},
	title = {Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {66},
	number = {2},
	year = {2020},
	doi = {10.5545/sv-jme.2019.6298},
	url = {https://www.sv-jme.eu/article/uneven-load-contact-dynamic-modeling-and-transmission-error-analysis-of-2k-v-reducer-with-eccentricity-excitation/}
}
TY  - JOUR
AU  - Wang, Guangjian 
AU  - Su, Li 
AU  - Zou, Shuaidong 
PY  - 2020/02/13
TI  - Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 66, No 2 (2020): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2019.6298
KW  - 2K-V reducer;nonlinear dynamics, transmission error;uneven load contact;eccentricity error
N2  - In this paper, the formula of non-load transmission error (TE) and time-varying backlash is derived through the incremental meshing line method based on the eccentricity error model of 2K-V gear pair with small tooth difference. Considering the influence of uneven load contact between two gear pairs with small tooth difference, the static transmission error (STE) of a 2K-V gear pair with small tooth difference is deduced. This work helps to predict the TE caused by eccentricity error and provide inference to compensate backlash. Also, we establish the nonlinear dynamic model of 2K-V small tooth difference under eccentricity excitation, in which non-linear factors such as non-uniform load, time-varying backlash, transmission error and contact stiffness are considered, and validated the theoretical model by comparing the dynamic transmission error in simulation and in theory. Furthermore, the transmission error of the 2K-V gear reducer was tested, and the test results further verified the uneven load contact phenomenon of the gear pair with small tooth difference in the meshing process. At the same time, the experimental transmission error frequency spectrum is consistent with the theoretical results, indicating that the transmission accuracy of the 2K-V reducer is mainly caused by the eccentricity error of the gear pair with small tooth difference. Finally, we optimized the initial eccentricity phase and predicted the minimum transmission error, providing theoretical guidance for the assembly of 2K-V small tooth difference gear pairs.
UR  - https://www.sv-jme.eu/article/uneven-load-contact-dynamic-modeling-and-transmission-error-analysis-of-2k-v-reducer-with-eccentricity-excitation/
Wang, Guangjian, Su, Li, AND Zou, Shuaidong.
"Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 66 Number 2 (13 February 2020)

Authors

Affiliations

  • Chongqing University, State Key Laboratory of Mechanical Transmissions, School of Automotive Engineering, China 1
  • Chongqing University, State Key Laboratory of Mechanical Transmissions, College of Mechanical Engineering, China 2

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 66(2020)2, 91-104

https://doi.org/10.5545/sv-jme.2019.6298

In this paper, the formula of non-load transmission error (TE) and time-varying backlash is derived through the incremental meshing line method based on the eccentricity error model of 2K-V gear pair with small tooth difference. Considering the influence of uneven load contact between two gear pairs with small tooth difference, the static transmission error (STE) of a 2K-V gear pair with small tooth difference is deduced. This work helps to predict the TE caused by eccentricity error and provide inference to compensate backlash. Also, we establish the nonlinear dynamic model of 2K-V small tooth difference under eccentricity excitation, in which non-linear factors such as non-uniform load, time-varying backlash, transmission error and contact stiffness are considered, and validated the theoretical model by comparing the dynamic transmission error in simulation and in theory. Furthermore, the transmission error of the 2K-V gear reducer was tested, and the test results further verified the uneven load contact phenomenon of the gear pair with small tooth difference in the meshing process. At the same time, the experimental transmission error frequency spectrum is consistent with the theoretical results, indicating that the transmission accuracy of the 2K-V reducer is mainly caused by the eccentricity error of the gear pair with small tooth difference. Finally, we optimized the initial eccentricity phase and predicted the minimum transmission error, providing theoretical guidance for the assembly of 2K-V small tooth difference gear pairs.

2K-V reducer;nonlinear dynamics; transmission error;uneven load contact;eccentricity error