Basic Theory and Design Method of Variable Shaft Angle Line Gear Mechanism

CHEN, Yang-zhi ;HE, Chao ;LYU, Yue-ling .
Basic Theory and Design Method of Variable Shaft Angle Line Gear Mechanism. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 67, n.7-8, p. 352-362, august 2021. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/basic-theory-and-design-method-of-variable-shaft-angle-line-gear-mechanism/>. Date accessed: 13 feb. 2026. 
doi:http://dx.doi.org/10.5545/sv-jme.2021.7216.

Chen, Y., He, C., & Lyu, Y.
(2021).
Basic Theory and Design Method of Variable Shaft Angle Line Gear Mechanism.
Strojniški vestnik - Journal of Mechanical Engineering, 67(7-8), 352-362.
doi:http://dx.doi.org/10.5545/sv-jme.2021.7216

@article{sv-jmesv-jme.2021.7216,
	author = {Yang-zhi  Chen and Chao  He and Yue-ling  Lyu},
	title = {Basic Theory and Design Method of Variable Shaft Angle Line Gear Mechanism},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {67},
	number = {7-8},
	year = {2021},
	keywords = {line gear, variable shaft angle, degree of freedom, pressure angle, space curve meshing theory},
	abstract = {In this paper, a novel line gear mechanism is proposed; it is called the variable shaft angle line gear mechanism (VSALGM). VSALGM has two rotational degrees of freedom, one is the rotation of the two gears with a constant transmission ratio, and the other is the relative swing of the two gears shafts. First, a novel contact model of VSALGM composed of one driven contact curve and one driving line teeth working surface (DLTWS) was proposed. With the concept, the basic design equations for VSALGM were derived on the basis of the space curve meshing theory of line gear. Moreover, the design criterion of pressure angle for VSALGM was analysed and proposed on the basis of the contact model. A basic design method for VSALGM was thus developed. A design example was given, and prototypes were manufactured using three-dimensional (3D) printing. Kinematic experiments and gear contact spot testing were carried out on a self-made kinematic test rig by the prototypes. The results show that the VSALGM designed in this paper can achieve a continuous, smooth and stable meshing transmission while the shaft angle is continuously changed within its setting range.},
	issn = {0039-2480},	pages = {352-362},	doi = {10.5545/sv-jme.2021.7216},
	url = {https://www.sv-jme.eu/article/basic-theory-and-design-method-of-variable-shaft-angle-line-gear-mechanism/}
}

Chen, Y.,He, C.,Lyu, Y.
2021 August 67. Basic Theory and Design Method of Variable Shaft Angle Line Gear Mechanism. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 67:7-8

%A Chen, Yang-zhi 
%A He, Chao 
%A Lyu, Yue-ling 
%D 2021
%T Basic Theory and Design Method of Variable Shaft Angle Line Gear Mechanism
%B 2021
%9 line gear, variable shaft angle, degree of freedom, pressure angle, space curve meshing theory
%! Basic Theory and Design Method of Variable Shaft Angle Line Gear Mechanism
%K line gear, variable shaft angle, degree of freedom, pressure angle, space curve meshing theory
%X In this paper, a novel line gear mechanism is proposed; it is called the variable shaft angle line gear mechanism (VSALGM). VSALGM has two rotational degrees of freedom, one is the rotation of the two gears with a constant transmission ratio, and the other is the relative swing of the two gears shafts. First, a novel contact model of VSALGM composed of one driven contact curve and one driving line teeth working surface (DLTWS) was proposed. With the concept, the basic design equations for VSALGM were derived on the basis of the space curve meshing theory of line gear. Moreover, the design criterion of pressure angle for VSALGM was analysed and proposed on the basis of the contact model. A basic design method for VSALGM was thus developed. A design example was given, and prototypes were manufactured using three-dimensional (3D) printing. Kinematic experiments and gear contact spot testing were carried out on a self-made kinematic test rig by the prototypes. The results show that the VSALGM designed in this paper can achieve a continuous, smooth and stable meshing transmission while the shaft angle is continuously changed within its setting range.
%U https://www.sv-jme.eu/article/basic-theory-and-design-method-of-variable-shaft-angle-line-gear-mechanism/
%0 Journal Article
%R 10.5545/sv-jme.2021.7216
%& 352
%P 11
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 67
%N 7-8
%@ 0039-2480
%8 2021-08-26
%7 2021-08-26

Chen, Yang-zhi, Chao  He, & Yue-ling  Lyu.
"Basic Theory and Design Method of Variable Shaft Angle Line Gear Mechanism." Strojniški vestnik - Journal of Mechanical Engineering [Online], 67.7-8 (2021): 352-362. Web.  13 Feb. 2026

TY  - JOUR
AU  - Chen, Yang-zhi 
AU  - He, Chao 
AU  - Lyu, Yue-ling 
PY  - 2021
TI  - Basic Theory and Design Method of Variable Shaft Angle Line Gear Mechanism
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2021.7216
KW  - line gear, variable shaft angle, degree of freedom, pressure angle, space curve meshing theory
N2  - In this paper, a novel line gear mechanism is proposed; it is called the variable shaft angle line gear mechanism (VSALGM). VSALGM has two rotational degrees of freedom, one is the rotation of the two gears with a constant transmission ratio, and the other is the relative swing of the two gears shafts. First, a novel contact model of VSALGM composed of one driven contact curve and one driving line teeth working surface (DLTWS) was proposed. With the concept, the basic design equations for VSALGM were derived on the basis of the space curve meshing theory of line gear. Moreover, the design criterion of pressure angle for VSALGM was analysed and proposed on the basis of the contact model. A basic design method for VSALGM was thus developed. A design example was given, and prototypes were manufactured using three-dimensional (3D) printing. Kinematic experiments and gear contact spot testing were carried out on a self-made kinematic test rig by the prototypes. The results show that the VSALGM designed in this paper can achieve a continuous, smooth and stable meshing transmission while the shaft angle is continuously changed within its setting range.
UR  - https://www.sv-jme.eu/article/basic-theory-and-design-method-of-variable-shaft-angle-line-gear-mechanism/

@article{{sv-jme}{sv-jme.2021.7216},
	author = {Chen, Y., He, C., Lyu, Y.},
	title = {Basic Theory and Design Method of Variable Shaft Angle Line Gear Mechanism},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {67},
	number = {7-8},
	year = {2021},
	doi = {10.5545/sv-jme.2021.7216},
	url = {https://www.sv-jme.eu/article/basic-theory-and-design-method-of-variable-shaft-angle-line-gear-mechanism/}
}

TY  - JOUR
AU  - Chen, Yang-zhi 
AU  - He, Chao 
AU  - Lyu, Yue-ling 
PY  - 2021/08/26
TI  - Basic Theory and Design Method of Variable Shaft Angle Line Gear Mechanism
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 67, No 7-8 (2021): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2021.7216
KW  - line gear, variable shaft angle, degree of freedom, pressure angle, space curve meshing theory
N2  - In this paper, a novel line gear mechanism is proposed; it is called the variable shaft angle line gear mechanism (VSALGM). VSALGM has two rotational degrees of freedom, one is the rotation of the two gears with a constant transmission ratio, and the other is the relative swing of the two gears shafts. First, a novel contact model of VSALGM composed of one driven contact curve and one driving line teeth working surface (DLTWS) was proposed. With the concept, the basic design equations for VSALGM were derived on the basis of the space curve meshing theory of line gear. Moreover, the design criterion of pressure angle for VSALGM was analysed and proposed on the basis of the contact model. A basic design method for VSALGM was thus developed. A design example was given, and prototypes were manufactured using three-dimensional (3D) printing. Kinematic experiments and gear contact spot testing were carried out on a self-made kinematic test rig by the prototypes. The results show that the VSALGM designed in this paper can achieve a continuous, smooth and stable meshing transmission while the shaft angle is continuously changed within its setting range.
UR  - https://www.sv-jme.eu/article/basic-theory-and-design-method-of-variable-shaft-angle-line-gear-mechanism/

Chen, Yang-zhi, He, Chao, AND Lyu, Yue-ling.
"Basic Theory and Design Method of Variable Shaft Angle Line Gear Mechanism" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 67 Number 7-8 (26 August 2021)