Transmission Ratio Analysis and Controllable Tooth Profile Modeling for the Nutation Drive with Double Circular-Arc External and Internal Spiral Bevel Gears

2010 ◽  
Vol 97-101 ◽  
pp. 3128-3134 ◽  
Author(s):  
Zheng Lin ◽  
Li Gang Yao ◽  
Shu Juan Huang
Keyword(s):  
Three Dimensional ◽  
Tooth Profile ◽  
Transmission Ratio ◽  
Circular Arc ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Three Dimensional Modeling ◽  
Spiral Bevel ◽  
Comparative Results ◽  
Profile Modeling

This paper proposes an approach for calculating the transmission ratio of nutation drive based on the working principle of the nutation movements. Then, the analysis of the influences for the nutation angle on the transmission ratio is carried out. The controllable tooth profile modelling for external and internal spiral bevel gears with double circular-arc is proposed. Based on the proposed tooth profile modeling, the three dimensional modeling and virtual assembly of the nutation drive have been further completed. Finally, the kinematical simulation is preceded in the simulating system and the comparative results have been accomplished between the simulation results and the theoretical ones of the transmission ratio.

Parametric Modeling for Spiral Bevel Gear Based on PRO/E

2012 ◽  
Vol 215-216 ◽  
pp. 1062-1066
Author(s):  
Xiu Hai Wu
Keyword(s):  
Parametric Design ◽  
Three Dimensional ◽  
Parametric Modeling ◽  
Bevel Gear ◽  
Secondary Development ◽  
Spiral Bevel Gear ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Three Dimensional Modeling ◽  
Spiral Bevel

The author describes tooth profile formatting mechanism of spherical involute spiral bevel gear based on Principles of Gear conjugate, establishes the mathematical model of spiral bevel gears. The precise spherical involute of spiral bevel gears is generated with parametric modeling idea and th secondary development method based on PROGRAM of PRO/E software. Finally, a complete spherical three-dimensional modeling of the involute spiral bevel gear is established, which provides a method of parametric design and manufacturing of spiral bevel gears.

scholarly journals A Method for Thermal Analysis of Spiral Bevel Gears

1996 ◽  
Vol 118 (4) ◽  
pp. 580-585 ◽  
Author(s):  
R. F. Handschuh ◽  
T. P. Kicher
Keyword(s):  
Three Dimensional ◽  
Contact Analysis ◽  
Heat Transfer Analysis ◽  
Maximum Pressure ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Finite Element Program ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel

A modelling method for analyzing the three-dimensional thermal behavior of spiral bevel gears has been developed. The model surfaces are generated through application of differential geometry to the manufacturing process for face-milled spiral bevel gears. Contact on the gear surface is found by combining tooth contact analysis with three-dimensional Hertzian theory. The tooth contact analysis provides the principle curvatures and orientations of the two surfaces. This information is then used directly in the Hertzian analysis to find the contact size and maximum pressure. Heat generation during meshing is determined as a function of the applied load, sliding velocity, and coefficient of friction. Each of these factors change as the point of contact changes during meshing. A nonlinear finite element program was used to conduct the heat transfer analysis. This program permitted the time- and position-varying boundary conditions, found in operation, to be applied to a one-tooth model. An example model and analytical results are presented.

New Tooth Profile Design of Spiral Bevel Gears with Spherical Involute

2012 ◽  
Vol 4 (19) ◽  
pp. 462-469
Author(s):  
Yang Zhaojun ◽  
Hong Zhaobin ◽  
Wang Baichao ◽  
Zhang Xuecheng
Keyword(s):  
Tooth Profile ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Profile Design ◽  
Spiral Bevel

Mathematical Modeling and Simulation of the External and Internal Double Circular-Arc Spiral Bevel Gears for the Nutation Drive

2010 ◽  
Vol 132 (2) ◽  
Author(s):  
Ligang Yao ◽  
Bing Gu ◽  
Shujuan Haung ◽  
Guowu Wei ◽  
Jian S. Dai
Keyword(s):  
Mathematical Modeling ◽  
Numerical Control ◽  
Tooth Surface ◽  
Circular Arc ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Nc Simulation ◽  
Helical Angle ◽  
Nc Milling ◽  
Spiral Bevel

The purpose of this paper is to propose a pair of external and internal spiral bevel gears with double circular-arc in the nutation drive. Based on the movement of nutation, this paper develops equations of the tooth profiles for the gear set, leading to the mathematical modeling of the spiral bevel gear with a constant helical angle gear alignment curve, enabling the tooth surface to be generated, and permitting the theoretical contacting lines to be produced in light of the meshing function. Simulation and verification are carried out to prove the mathematical equations. Numerical control (NC) simulation of machining the external and internal double circular-arc spiral bevel gears is developed, and the spiral gears were manufactured on a NC milling machine. The prototype of the nutation drive is illustrated in the case study at the end of this paper.

A Static and Dynamic Model of Spiral Bevel Gears

2011 ◽  
Vol 86 ◽  
pp. 35-38
Author(s):  
Jing Wang ◽  
Joël Teixeira Alves ◽  
Michèle Guingand ◽  
Jean Pierre de Vaujany ◽  
Philippe Velex
Keyword(s):  
Dynamic Models ◽  
Three Dimensional ◽  
Time Varying ◽  
Mesh Stiffness ◽  
Linear Distribution ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Lumped Parameter ◽  
Potential Contact ◽  
Spiral Bevel

Two three-dimensional lumped parameter dynamic models of spiral bevel gears are presented and compared. The first approach is classic and relies on a single averaged mesh stiffness element connecting the gears whereas a time-varying non-linear distribution of discrete stiffness elements over the potential contact area is used in the second model.

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