Research on Non-Circular Gear Hobbing Simulation Based on Piecewise Cubic Spline Fitting

2014 ◽  
Vol 620 ◽  
pp. 357-362 ◽  
Author(s):  
Da Zhu Li ◽  
Lian Xia ◽  
You Yu Liu ◽  
Jiang Han
Keyword(s):  
Cubic Spline ◽  
Parameters Optimization ◽  
Secondary Development ◽  
Design Parameters ◽  
Three Dimension ◽  
Spline Fitting ◽  
Gear Hobbing ◽  
Polar Coordinate ◽  
Pitch Curve ◽  
Cubic Spline Fitting

In order to solve the hobbing machining data calculation and hobbing simulation of non-circular gear with various shapes, the piecewise cubic spline fit method has been adopted to unify the polar coordinate expression of non-circular pitch curve. The method to generate hobbing machining data was deduced based on hobbing linkage mathematical model, and the machining data error caused by piecewise cubic spline fitting method was analyzed. The three-dimension software has been used as simulation tool to make secondary development, and then non-circular gear hobbing simulation was realized based on machining data, which can verify the validity of machining data and the relevant design drawbacks of non-circular gear. The work of this paper lay a good foundation for design parameters optimization and hobbing of non-circular gear.

Efficient 4D shape completion from sparse samples via cubic spline fitting in linear rotation-invariant space

2019 ◽  
Vol 82 ◽  
pp. 129-139 ◽  
Author(s):  
Qing Xia ◽  
Chengju Chen ◽  
Jiarui Liu ◽  
Shuai Li ◽  
Aimin Hao ◽  
...  
Keyword(s):  
Cubic Spline ◽  
Invariant Space ◽  
Rotation Invariant ◽  
Spline Fitting ◽  
Shape Completion ◽  
Sparse Samples ◽  
Fitting In ◽  
Cubic Spline Fitting

Cubic spline fitting using data dependent triangulations

1990 ◽  
Vol 7 (1-4) ◽  
pp. 293-301 ◽  
Author(s):  
Ewald Quak ◽  
Larry L. Schumaker
Keyword(s):  
Cubic Spline ◽  
Spline Fitting ◽  
Using Data ◽  
Cubic Spline Fitting

scholarly journals The method for synthesis of the contact ratio of noncircular bevel gears

2021 ◽  
Vol 12 (1) ◽  
pp. 165-172
Author(s):  
Kan Shi ◽  
Shuai Lin ◽  
Yan'an Yao
Keyword(s):  
Transmission Ratio ◽  
Polar Coordinate System ◽  
Contact Ratio ◽  
Bevel Gears ◽  
Innovative Methods ◽  
Ratio Curve ◽  
Pure Rolling ◽  
Variable Transmission ◽  
Polar Coordinate ◽  
Pitch Curve

Abstract. As a type of spatial transmission mechanism, noncircular bevel gears can be used to transfer the power and motion with a variable transmission ratio between intersecting axes. In this paper, utilizing the spherical triangle theorem and meshing principle, the parametric equations of the contact ratio are established in the space polar coordinate system. Two innovative methods are proposed to analyze the contact ratio by using the rotation angle of the driving (driven) gears and the arc length of pitch curve as pure rolling. In the case of modified gear and X-zero gear, whether the noncircular bevel gear is continuously driven is deduced. The simulation transmission ratio curve and theoretical transmission ratio curve are compared to verify the rationality of the design.

Sign in / Sign up

Export Citation Format

Share Document