scholarly journals A Study on Spiral Bevel Gears with Circular Arc Tooth Profile (Dept. M (Production) )

2020 ◽  
Vol 40 (3) ◽  
pp. 55-65
Author(s):  
Tawfik Elmidany ◽  
Ibrahim Elewab ◽  
Mostafa El-Bahloul
Keyword(s):  
Tooth Profile ◽  
Circular Arc ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel

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.

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.

On-Machine Measurement of Tooth Profile Errors of Spiral Bevel Gears and its Simulation

2013 ◽  
Vol 394 ◽  
pp. 245-250
Author(s):  
Zhi Yong Wang ◽  
Hua Ming Zhai ◽  
Hui Chen
Keyword(s):  
Processing Method ◽  
Tooth Profile ◽  
Normal Vector ◽  
Cnc Machine ◽  
Spiral Bevel Gears ◽  
Key Technology ◽  
Bevel Gears ◽  
Spiral Bevel ◽  
Profile Errors ◽  
Tooth Profile Errors

Precise measurement of tooth profile errors is the key technology for realizing close-loop manufacturing of spiral bevel gears. The measuring principle of tooth profile errors and the processing method of measuring datum is the key technology for realizing precise measuring. Based on the generating principle of spiral bevel gears and the model of CNC machine tool, the on-machine measuring principle and the measuring datum processing method were established. In order to verify the correctness of on-machine measuring principle, the on-machine measuring simulation system was established based on AutoCAD development platform. According to the spatial coordinates and normal vector of the discrete points of theoretical tooth profile, the on-machine measurement of tooth profile errors was simulated by intersection Boolean operation and the values of errors were calculated. The correctness of simulation algorithm is validated by comparing simulation result with the practical measuring result.

scholarly journals Dynamic modal analysis of double-sided meshing nutation drive with double circular arc spiral bevel gears

2020 ◽  
Vol 11 (1) ◽  
pp. 115-123
Author(s):  
Zheng Lin ◽  
Ligang Yao ◽  
Zhiyu Xie
Keyword(s):  
Modal Analysis ◽  
Natural Frequencies ◽  
Transmission Error ◽  
Drive System ◽  
Nonlinear Dynamic Model ◽  
Circular Arc ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Meshing Stiffness ◽  
Spiral Bevel

Abstract. In order to reduce the vibration of the double-sided meshing nutation drive with double circular arc spiral bevel gears, the dynamic modal of the nutation system is analyzed. The bending-torsional-axial coupling nonlinear dynamic model of the double-sided meshing nutation drive system with time-varying meshing stiffness, meshing damping, transmission error and tooth backlash is established, and the equation of motion of the system is derived. The natural frequencies and corresponding modal modes of the nutation system are calculated, and the effects of the average meshing stiffness of gears and the bearing support stiffness of nutation gears on the modal of the system are analyzed. The modal analysis of double circular arc spiral bevel gears is carried out, and the ten order natural frequencies and their corresponding modes are obtained. The results show that the nutation drive system and the double circular arc spiral bevel gears do not resonate during transmission.

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