Efficiency modeling and analysis for the nutation drive with double circular arc spiral bevel gears

2016 ◽  
pp. 379-384
Author(s):  
W.T. Ji ◽  
L.G. Yao ◽  
J. Zhang ◽  
J.L. Hong ◽  
W.J. Li
Keyword(s):  
Circular Arc ◽  
Spiral Bevel Gears ◽  
Modeling And Analysis ◽  
Bevel Gears ◽  
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.

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.

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.

Contact Trace of Internal Meshing Double Circular-Arc Spiral Bevel Gears

2014 ◽  
Vol 945-949 ◽  
pp. 822-825 ◽  
Author(s):  
Zheng Lin ◽  
Li Gang Yao ◽  
Quan Lin
Keyword(s):  
Tooth Surface ◽  
Mathematical Software ◽  
Analysis Software ◽  
Element Analysis ◽  
Circular Arc ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Meshing Equation ◽  
Spiral Bevel ◽  
Internal Meshing

The meshing contact analysis of double circular-arc spiral bevel gears for nutation drive is considered. Based on gear meshing theory, the mathematical models and meshing equation of the double circular-arc spiral bevel gears are developed. The contact trace satisfies the tooth surface equations and meshing equation simultaneously, and then the contact trace is solved by using mathematical software. The analysis of tooth surface contact pressure is simulated by finite element analysis software.

scholarly journals Contact stiffness and damping of spiral bevel gears under transient mixed lubrication conditions

Friction ◽  
2021 ◽  
Author(s):  
Zongzheng Wang ◽  
Wei Pu ◽  
Xin Pei ◽  
Wei Cao
Keyword(s):  
Contact Stiffness ◽  
Mixed Lubrication ◽  
Asperity Contact ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Dry Contact ◽  
Spiral Bevel ◽  
Stiffness And Damping ◽  
Lubrication Conditions ◽  
Film Lubrication

AbstractExisting studies primarily focus on stiffness and damping under full-film lubrication or dry contact conditions. However, most lubricated transmission components operate in the mixed lubrication region, indicating that both the asperity contact and film lubrication exist on the rubbing surfaces. Herein, a novel method is proposed to evaluate the time-varying contact stiffness and damping of spiral bevel gears under transient mixed lubrication conditions. This method is sufficiently robust for addressing any mixed lubrication state regardless of the severity of the asperity contact. Based on this method, the transient mixed contact stiffness and damping of spiral bevel gears are investigated systematically. The results show a significant difference between the transient mixed contact stiffness and damping and the results from Hertz (dry) contact. In addition, the roughness significantly changes the contact stiffness and damping, indicating the importance of film lubrication and asperity contact. The transient mixed contact stiffness and damping change significantly along the meshing path from an engaging-in to an engaging-out point, and both of them are affected by the applied torque and rotational speed. In addition, the middle contact path is recommended because of its comprehensive high stiffness and damping, which maintained the stability of spiral bevel gear transmission.

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