Dynamic Analysis of Line Gear Pair Based on Numerical Manifold Method

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Izvoz citacije: ABNT
DING, Jiang ;DENG, Aiping ;LIU, Liwei ;LU, Mengen .
Dynamic Analysis of Line Gear Pair Based on Numerical Manifold Method. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 67, n.6, p. 275-286, july 2021. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/dynamic-analysis-of-line-gear-pair-based-on-numerical-manifold-method/>. Date accessed: 12 aug. 2022. 
doi:http://dx.doi.org/10.5545/sv-jme.2021.7118.
Ding, J., Deng, A., Liu, L., & Lu, M.
(2021).
Dynamic Analysis of Line Gear Pair Based on Numerical Manifold Method.
Strojniški vestnik - Journal of Mechanical Engineering, 67(6), 275-286.
doi:http://dx.doi.org/10.5545/sv-jme.2021.7118
@article{sv-jmesv-jme.2021.7118,
	author = {Jiang  Ding and Aiping  Deng and Liwei  Liu and Mengen  Lu},
	title = {Dynamic Analysis of Line Gear Pair Based on Numerical Manifold Method},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {67},
	number = {6},
	year = {2021},
	keywords = {line gear, dynamic response, vibration, numerical manifold method},
	abstract = {As a kind of tiny gear based on space curve meshing theory, the line gear is very suitable for miniaturized machines due to its compact size and low weight. However, the line gear usually suffers from serious vibration problems since its line teeth are designed as twisted three-dimensional cantilevers to provide conjugated meshing curves. A dynamic model of the line gear pair is established in this paper using the numerical manifold method (NMM) to alleviate its vibration conditions, which can simultaneously provide mathematical and physical covers. The displacement function is first derived for the line teeth, and the dynamic equations of the manifold element are acquired. After inspecting the reasons that cause meshing excitation, the dynamic response of the line teeth is attained in all three orthogonal directions. The attained dynamic response shows that the vibration in the axial gear direction is more significant than that in the curvature direction. Furthermore, the vibration differential equations of the line teeth are solved through a detailed example, and the relationship between the design parameters and the natural frequency is revealed. The vibration characteristics of the first four order of the line gear are revealed through the method of NMM and compared with the result that is carried out through the commercial finite element method (FEM). The comparison shows that NMM can efficiently relieve the vibration problems of the line gear.},
	issn = {0039-2480},	pages = {275-286},	doi = {10.5545/sv-jme.2021.7118},
	url = {https://www.sv-jme.eu/sl/article/dynamic-analysis-of-line-gear-pair-based-on-numerical-manifold-method/}
}
Ding, J.,Deng, A.,Liu, L.,Lu, M.
2021 July 67. Dynamic Analysis of Line Gear Pair Based on Numerical Manifold Method. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 67:6
%A Ding, Jiang 
%A Deng, Aiping 
%A Liu, Liwei 
%A Lu, Mengen 
%D 2021
%T Dynamic Analysis of Line Gear Pair Based on Numerical Manifold Method
%B 2021
%9 line gear, dynamic response, vibration, numerical manifold method
%! Dynamic Analysis of Line Gear Pair Based on Numerical Manifold Method
%K line gear, dynamic response, vibration, numerical manifold method
%X As a kind of tiny gear based on space curve meshing theory, the line gear is very suitable for miniaturized machines due to its compact size and low weight. However, the line gear usually suffers from serious vibration problems since its line teeth are designed as twisted three-dimensional cantilevers to provide conjugated meshing curves. A dynamic model of the line gear pair is established in this paper using the numerical manifold method (NMM) to alleviate its vibration conditions, which can simultaneously provide mathematical and physical covers. The displacement function is first derived for the line teeth, and the dynamic equations of the manifold element are acquired. After inspecting the reasons that cause meshing excitation, the dynamic response of the line teeth is attained in all three orthogonal directions. The attained dynamic response shows that the vibration in the axial gear direction is more significant than that in the curvature direction. Furthermore, the vibration differential equations of the line teeth are solved through a detailed example, and the relationship between the design parameters and the natural frequency is revealed. The vibration characteristics of the first four order of the line gear are revealed through the method of NMM and compared with the result that is carried out through the commercial finite element method (FEM). The comparison shows that NMM can efficiently relieve the vibration problems of the line gear.
%U https://www.sv-jme.eu/sl/article/dynamic-analysis-of-line-gear-pair-based-on-numerical-manifold-method/
%0 Journal Article
%R 10.5545/sv-jme.2021.7118
%& 275
%P 12
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 67
%N 6
%@ 0039-2480
%8 2021-07-05
%7 2021-07-05
Ding, Jiang, Aiping  Deng, Liwei  Liu, & Mengen  Lu.
"Dynamic Analysis of Line Gear Pair Based on Numerical Manifold Method." Strojniški vestnik - Journal of Mechanical Engineering [Online], 67.6 (2021): 275-286. Web.  12 Aug. 2022
TY  - JOUR
AU  - Ding, Jiang 
AU  - Deng, Aiping 
AU  - Liu, Liwei 
AU  - Lu, Mengen 
PY  - 2021
TI  - Dynamic Analysis of Line Gear Pair Based on Numerical Manifold Method
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2021.7118
KW  - line gear, dynamic response, vibration, numerical manifold method
N2  - As a kind of tiny gear based on space curve meshing theory, the line gear is very suitable for miniaturized machines due to its compact size and low weight. However, the line gear usually suffers from serious vibration problems since its line teeth are designed as twisted three-dimensional cantilevers to provide conjugated meshing curves. A dynamic model of the line gear pair is established in this paper using the numerical manifold method (NMM) to alleviate its vibration conditions, which can simultaneously provide mathematical and physical covers. The displacement function is first derived for the line teeth, and the dynamic equations of the manifold element are acquired. After inspecting the reasons that cause meshing excitation, the dynamic response of the line teeth is attained in all three orthogonal directions. The attained dynamic response shows that the vibration in the axial gear direction is more significant than that in the curvature direction. Furthermore, the vibration differential equations of the line teeth are solved through a detailed example, and the relationship between the design parameters and the natural frequency is revealed. The vibration characteristics of the first four order of the line gear are revealed through the method of NMM and compared with the result that is carried out through the commercial finite element method (FEM). The comparison shows that NMM can efficiently relieve the vibration problems of the line gear.
UR  - https://www.sv-jme.eu/sl/article/dynamic-analysis-of-line-gear-pair-based-on-numerical-manifold-method/
@article{{sv-jme}{sv-jme.2021.7118},
	author = {Ding, J., Deng, A., Liu, L., Lu, M.},
	title = {Dynamic Analysis of Line Gear Pair Based on Numerical Manifold Method},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {67},
	number = {6},
	year = {2021},
	doi = {10.5545/sv-jme.2021.7118},
	url = {https://www.sv-jme.eu/sl/article/dynamic-analysis-of-line-gear-pair-based-on-numerical-manifold-method/}
}
TY  - JOUR
AU  - Ding, Jiang 
AU  - Deng, Aiping 
AU  - Liu, Liwei 
AU  - Lu, Mengen 
PY  - 2021/07/05
TI  - Dynamic Analysis of Line Gear Pair Based on Numerical Manifold Method
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 67, No 6 (2021): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2021.7118
KW  - line gear, dynamic response, vibration, numerical manifold method
N2  - As a kind of tiny gear based on space curve meshing theory, the line gear is very suitable for miniaturized machines due to its compact size and low weight. However, the line gear usually suffers from serious vibration problems since its line teeth are designed as twisted three-dimensional cantilevers to provide conjugated meshing curves. A dynamic model of the line gear pair is established in this paper using the numerical manifold method (NMM) to alleviate its vibration conditions, which can simultaneously provide mathematical and physical covers. The displacement function is first derived for the line teeth, and the dynamic equations of the manifold element are acquired. After inspecting the reasons that cause meshing excitation, the dynamic response of the line teeth is attained in all three orthogonal directions. The attained dynamic response shows that the vibration in the axial gear direction is more significant than that in the curvature direction. Furthermore, the vibration differential equations of the line teeth are solved through a detailed example, and the relationship between the design parameters and the natural frequency is revealed. The vibration characteristics of the first four order of the line gear are revealed through the method of NMM and compared with the result that is carried out through the commercial finite element method (FEM). The comparison shows that NMM can efficiently relieve the vibration problems of the line gear.
UR  - https://www.sv-jme.eu/sl/article/dynamic-analysis-of-line-gear-pair-based-on-numerical-manifold-method/
Ding, Jiang, Deng, Aiping, Liu, Liwei, AND Lu, Mengen.
"Dynamic Analysis of Line Gear Pair Based on Numerical Manifold Method" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 67 Number 6 (05 July 2021)

Avtorji

Inštitucije

  • Guangxi University, College of Mechanical Engineering, China 1

Informacije o papirju

Strojniški vestnik - Journal of Mechanical Engineering 67(2021)6, 275-286
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.

https://doi.org/10.5545/sv-jme.2021.7118

As a kind of tiny gear based on space curve meshing theory, the line gear is very suitable for miniaturized machines due to its compact size and low weight. However, the line gear usually suffers from serious vibration problems since its line teeth are designed as twisted three-dimensional cantilevers to provide conjugated meshing curves. A dynamic model of the line gear pair is established in this paper using the numerical manifold method (NMM) to alleviate its vibration conditions, which can simultaneously provide mathematical and physical covers. The displacement function is first derived for the line teeth, and the dynamic equations of the manifold element are acquired. After inspecting the reasons that cause meshing excitation, the dynamic response of the line teeth is attained in all three orthogonal directions. The attained dynamic response shows that the vibration in the axial gear direction is more significant than that in the curvature direction. Furthermore, the vibration differential equations of the line teeth are solved through a detailed example, and the relationship between the design parameters and the natural frequency is revealed. The vibration characteristics of the first four order of the line gear are revealed through the method of NMM and compared with the result that is carried out through the commercial finite element method (FEM). The comparison shows that NMM can efficiently relieve the vibration problems of the line gear.

line gear, dynamic response, vibration, numerical manifold method