Geometrical model and tooth analysis of undulating face gear

Liu, Dawei; Tingzhi, Ren; Jin, Xin

doi:10.1016/j.mechmachtheory.2014.12.004

Cited by 32 publications

(25 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The tooth surface equation of the tool is converted from the coordinate system S s to S 2 , and the relationship between the two coordinate systems is expressed as in equation (5). The equation of the face of the tooth surface of the tool in the coordinate system S 2 can be derived as…”

Section: Tooth Surface Equation Of Face Gearmentioning

confidence: 99%

Precise modeling of complex tooth surface microtopography and multi-degree-of-freedom nonlinear friction dynamics for high-performance face gear

Gong

Jin

et al. 2019

Science Progress

View full text Add to dashboard Cite

Face gear transmission is a kind of space-meshing mechanism that is mainly used in the field of aviation. Compared with traditional transmission, it has the advantages of stability, reliability, low noise, and strong carrying capacity. However, owing to its complex tooth surface, there are no means to accurately model the face gear. Likewise, research based on the geometry is difficult. Therefore, the tooth surface equation of the face gear is derived in this article based on the meshing theory. Based on the equations, the point cloud of the face gear tooth surface is calculated, the complex tooth surface is generated, and the face gear is accurately modeled. Moreover, taking tooth surface friction excitation into consideration, a multi-degree-of-freedom nonlinear dynamic model of face gear transmission system is established, using the adaptive variable step length Runge–Kutta method. As shown in the results, the bifurcation diagram, phase diagram, time history diagram, and Poincaré section diagram are combined to analyze the influence of tooth surface friction and meshing frequency on the dynamic characteristics of the system.

show abstract

Section: Tooth Surface Equation Of Face Gearmentioning

confidence: 99%

Precise modeling of complex tooth surface microtopography and multi-degree-of-freedom nonlinear friction dynamics for high-performance face gear

Gong

Jin

et al. 2019

Science Progress

View full text Add to dashboard Cite

show abstract

“…Therefore, based on the researches of face gear, Lin Chao et al have proposed a new type of gear pair named curve-face gear pair, it can transfer the movement of variable transmission ratio between intersected axes, and they have studied application and basic theory of the curve-face gear pair such as design method, processing method, measurement method, contact analysis et al (Lin et al, 2013(Lin et al, , 2014a(Lin et al, , 2015. Besides, Liu Dawei et al also put forward an irregular face gear, which can also transfer the movement of variable transmission ratio, and they focused on the geometrical model, tooth analysis and the basic meshing theory (Liu et al, 2015. These researches have filled up the vacancy of variable ratio gear mechanism.…”

Section: Introductionmentioning

confidence: 99%

Design and characteristic analysis of eccentric helical curve-face gear

Lin

Wei

2017

JAMDSM

View full text Add to dashboard Cite

A composite motion eccentric helical curve-face gear pair consisting of a helical non-circular gear and an eccentric helical curve-face gear is put forward based on the combination of eccentric gear and curve-face gear. This new gear pair can implement the rotation of intersected axes as well as the movement of output axe. Based on the spatial coordinate transformation theory, the coordinate system of eccentric helical curve-face gear pair is obtained and the pitch curve of eccentric helical curve-face gear is designed. The meshing equation and the tooth surface equation of eccentric helical curve-face gear are derived based on the spatial gear engagement theory and the conjugate surface theory. By changing the different parameters of eccentric helical curve-face gear pair, the influencing factors and variation of transmission ratio, pressure angle and kinematics are analyzed. According to the motion relationship of the gears and the method of generation, the establishment of solid model for the eccentric helical curve-face gear is presented with the application of SolidWorks. Furthermore, the correctness of the design theory of eccentric helical curve-face gear pair is verified by using the motion simulation and the experimental verification.

show abstract

“…15,16 (3) Tooth characteristics based on tooth geometry, which considered the undercutting condition, were analyzed. [17][18][19] Compared with spur gears, the lack of published design experience and design standards make the design difficult. For curve-face gear, due to the tooth characteristics combined that of face gear and non-circular gear, the undercutting condition of the gear is more complex.…”

Section: Introductionmentioning

confidence: 99%

Geometric design using undercutting and pointing conditions for a curve-face gear

Cai

Lin

2016

Advances in Mechanical Engineering

View full text Add to dashboard Cite

Curve-face gear drive is a new type of variable transmission ratio gear pair between the intersecting axes based on the face gear pair. And tooth width is one of the main geometrical factors of curve-face gear which affects the intensity of tooth root. This article uses the method of boundary function and geometric approximate evaluation to investigate the undercutting and pointing conditions of curve-face gear considering the tooth profile difference. The equations of tooth profile distribution angle and engagement angle are derived using the coordinate transformation theory. On this basis, the equations of the theoretic undercutting and pointing conditions are deduced, and the undercutting inner diameter and pointing outer diameter of the tooth profile are simulated using mathematical software. Then, the corresponding phenomenon of undercutting and pointing of curve-face gear are analyzed. In the end, the feasibility of the theoretical calculation is received by the experiment of curve-face gear.

show abstract

Geometrical model and tooth analysis of undulating face gear

Cited by 32 publications

References 11 publications

Precise modeling of complex tooth surface microtopography and multi-degree-of-freedom nonlinear friction dynamics for high-performance face gear

Precise modeling of complex tooth surface microtopography and multi-degree-of-freedom nonlinear friction dynamics for high-performance face gear

Design and characteristic analysis of eccentric helical curve-face gear

Geometric design using undercutting and pointing conditions for a curve-face gear

Contact Info

Product

Resources

About