Tooth Surface Equations of Offset Orthogonal Face Gear and Simulation

2013 ◽  
Vol 694-697 ◽  
pp. 512-517
Author(s):  
Xue Yu Peng ◽  
Qing Li
Keyword(s):  
Gear Tooth ◽  
Gear Transmission ◽  
Tooth Surface ◽  
Contact Ratio ◽  
Surface Geometry ◽  
Face Gear ◽  
The Real ◽  
Computer Aided Analysis ◽  
Computer Aided ◽  
The Common

Face gear transmission is widely applied for large transmission torque, low vibration and noise, high contact ratio, not sensitive to the axial error and so on. The curved tooth face gear tooth surface geometry is different from the common spur or helical face gear. In this paper, to offset orthogonal curved tooth face gear as the research object, meshing with involute cylindrical worm, studied its tooth surface equations. With MATLAB, SOLIDWORKS and other computer-aided analysis tools, simulating the real tooth surface, drawing the offset orthogonal face gear model respectively.

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

2019 ◽  
Vol 103 (1) ◽  
pp. 003685041988107 ◽  
Author(s):  
Shuai Mo ◽  
Jiabei Gong ◽  
Guoguang Jin ◽  
Shengping Zhu ◽  
Ting Zhang ◽  
...  
Keyword(s):  
Gear Tooth ◽  
Time History ◽  
Surface Friction ◽  
Low Noise ◽  
Gear Transmission ◽  
Degree Of Freedom ◽  
Tooth Surface ◽  
Nonlinear Dynamic Model ◽  
Face Gear ◽  
The Face

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.

Tooth Contact Analysis of Face Gear Drive Modified by a Grinding Worm

2010 ◽  
Vol 139-141 ◽  
pp. 1154-1157 ◽  
Author(s):  
Hui Guo ◽  
Ning Zhao ◽  
Hao Gao
Keyword(s):  
Gear Tooth ◽  
Contact Analysis ◽  
Tooth Surface ◽  
Alignment Error ◽  
Contact Ratio ◽  
Face Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Gear Drive ◽  
Bearing Contact

This paper proposes a modification method for tooth surface of face gear drive with a grinding worm on a numerical grinding machine. The surface equation of grinding worm is derived, and the coordinate System of generating the worm is established. Tooth contact analysis (TCA) is performed to investigate the performance of face gear drive before and after modification, and the alignment error is considered. This method can obtain a more stable bearing contact in contrast to the method by increasing tooth number of shaper. The longitudinal bearing contact on the face-gear tooth surface has been obtained which will increase the contact ratio. By modification the edge contact at surface edges of the gears can be avoided and the modification magnitude can be controlled freely.

Influence of the backlash generated by tooth accumulated wear on dynamic behavior of compound planetary gear set

2016 ◽  
Vol 231 (11) ◽  
pp. 2025-2041 ◽  
Author(s):  
Shijing Wu ◽  
Haibo Zhang ◽  
Xiaosun Wang ◽  
Zeming Peng ◽  
Kangkang Yang ◽  
...  
Keyword(s):  
Dynamic Response ◽  
Dynamic Model ◽  
Dynamic Behavior ◽  
Planetary Gear ◽  
Tooth Wear ◽  
Transmission Error ◽  
Gear Transmission ◽  
Tooth Surface ◽  
Contact Ratio ◽  
The Impact

Backlash is a key internal excitation on the dynamic response of planetary gear transmission. After the gear transmission running for a long time under load torque, due to tooth wear accumulation, the backlash between the tooth surface of two mating gears increases, which results in a larger and irregular backlash. However, the increasing backlash generated by tooth accumulated wear is generally neglected in lots of dynamics analysis for epicyclic gear trains. In order to investigate the impact of backlash generated by tooth accumulated wear on dynamic behavior of compound planetary gear set, in this work, first a static tooth surface wear prediction model is incorporated with a dynamic iteration methodology to get the increasing backlash generated by tooth accumulated wear for one pair of mating teeth under the condition that contact ratio equals to one. Then in order to introduce the tooth accumulated wear into dynamic model of compound planetary gear set, the backlash excitation generated by tooth accumulated wear for each meshing pair in compound planetary gear set is given under the condition that contact ratio equals to one and does not equal to one. Last, in order to investigate the impact of the increasing backlash generated by tooth accumulated wear on dynamic response of compound planetary gear set, a nonlinear lumped-parameter dynamic model of compound planetary gear set is employed to describe the dynamic relationships of gear transmission under the internal excitations generated by worn profile, meshing stiffness, transmission error, and backlash. The results indicate that the introduction of the increasing backlash generated by tooth accumulated wear makes a significant influence on the bifurcation and chaotic characteristics, dynamic response in time domain, and load sharing behavior of compound planetary gear set.

New Geometry of Generating Spiral Bevel Gear

2007 ◽  
Author(s):  
Kaihong Zhou ◽  
Jinyuan Tang ◽  
Tao Zeng
Keyword(s):  
Gear Tooth ◽  
Previous Method ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Surface Geometry ◽  
Numerical Examples ◽  
Cone Surface ◽  
Spiral Bevel ◽  
Involute Curve

New geometry of generating spiral bevel gear is proposed. The key idea of the new proposed geometry is that the gear tooth surface geometry can be investigated in a developed curved surface based on the planar engagement principle. It is proved that the profile curve on the back of generating cone surface is a conical involute curve. The equations of generated gear tooth surface are achieved by the conical involute curve sweeping along the tooth trace of gear. The obtained equations are explicit and independent of the machine-tool settings. This differs from previous studies. The developed theory is illustrated with numerical examples to compare with the previous method, the comparison approves that the method is possible in this way. The new method indicates that there are new solutions to the design the production of spiral bevel gear.

Establishing gear tooth surface geometry and normal deviation

1998 ◽  
Vol 33 (5) ◽  
pp. 517-524 ◽  
Author(s):  
M.S. Shunmugam ◽  
S.V.R. Surya Narayana ◽  
V. Jayaprakash
Keyword(s):  
Gear Tooth ◽  
Tooth Surface ◽  
Surface Geometry

The Derivation and Simulation of Curved Tooth Face Gear Tooth Theoretical Contract-Point Trace Line Equations

2013 ◽  
Vol 819 ◽  
pp. 100-104
Author(s):  
Xue Yu Peng ◽  
Qing Li ◽  
Tai Yong Wang
Keyword(s):  
Gear Tooth ◽  
Theoretical Equation ◽  
Tooth Surface ◽  
Face Gear ◽  
Machining Errors ◽  
The Face ◽  
Trace Line ◽  
Contact Situation ◽  
Meshing Process ◽  
The Ideal

The face gear tooth surface theoretical equation, based on the mesh of curved tooth face gear and involute worm, was deduced by means of differential geometry, meshing theory and so on. According to the conditions of the gear meshing, studying the ideal contract-point trace line theoretical equation under the conditions of no machining errors, installation errors and so on. By solving the equations and simulating in SOLIDWORKS, finally the tooth contact situation of face gear and cylindrical worm in the meshing process was got.

Establishing gear tooth surface geometry and normal deviationPart II—bevel gears

1998 ◽  
Vol 33 (5) ◽  
pp. 525-534 ◽  
Author(s):  
M.S. Shunmugam ◽  
B.Subba Rao ◽  
V. Jayaprakash
Keyword(s):  
Gear Tooth ◽  
Tooth Surface ◽  
Surface Geometry ◽  
Bevel Gears

scholarly journals Meshing characteristics of a sphere–face gear pair with variable shaft angle

2019 ◽  
Vol 11 (6) ◽  
pp. 168781401985951 ◽  
Author(s):  
Lei Liu ◽  
Jinzhao Zhang
Keyword(s):  
Gear Tooth ◽  
Transmission Error ◽  
Tooth Surface ◽  
Gear Pair ◽  
Face Gear ◽  
Tooth Contact Analysis ◽  
Contact Points ◽  
Shaft Angle ◽  
Meshing Characteristics ◽  
Curvature Interference

This article presents a sphere–face gear pair by substituting the convex spherical gear for the pinion of a conventional face gear pair. The sphere–face gear pair not only maintains the advantages of the face gear pair with a longitudinally modified pinion but also allows variable shaft angles or large axial misalignments. Meshing characteristics of the proposed gear pair are studied in this article. The mathematical models of the sphere–face gear pair are derived based on machining principles. The tooth contact analysis (TCA) and curvature interference check are conducted for the sphere–face gear pair with variable shaft angles. The loaded TCA is also implemented utilizing the finite element method. The results of numerical examples show that proposed gear pair has the following features. Geometrical transmission error of constant shaft angle or varying shaft angle is zero; contact points of the sphere–face gear set with variable shaft angle are located near the centre region of face gear tooth surface; there is no curvature interference in meshing; and transmission continuity of the gear pair can be guaranteed in meshing.

Study on Designing and Dressing of Worm for Grinding Process of Face Gear

2011 ◽  
Vol 86 ◽  
pp. 475-478
Author(s):  
Xiao Zhen Li ◽  
Ru Peng Zhu ◽  
Zheng Min Qing Li ◽  
Fa Jia Li
Keyword(s):  
Gear Tooth ◽  
Tooth Surface ◽  
Grinding Process ◽  
Coordinate Systems ◽  
Face Gear ◽  
Dressing Method ◽  
Solid Models ◽  
The Face ◽  
Relationship Of ◽  
Envelope Theory

In order to process the hardened face-gear, the worm for face-gear is studied. The research includes designing and dressing method of worm. According to the meshing relationship of face-gear, worm and shaper, coordinate systems of face-gear, worm and shaper are established. By envelope theory, the face-gear tooth surface are obtained, worm tooth surface and shaper tooth surface. The solid models of face-gear, worm and shaper were built, and the approach of dressing was simulated for hardened face-gear processed.

Research on the Discrete Algorithm of Tooth Surface for a Curve-Face Gear

2019 ◽  
Vol 142 (5) ◽  
Author(s):  
Zhiqin Cai ◽  
Chao Lin
Keyword(s):  
Gear Tooth ◽  
Theoretical Data ◽  
Surface Characteristics ◽  
Tooth Surface ◽  
Gear Pair ◽  
Face Gear ◽  
Distribution Law ◽  
Discrete Algorithm ◽  
Generating Method ◽  
Curve Face

Abstract The curve-face gear pair is a new type of face gear pair with a variable transmission ratio. Concerning the complexity of its tooth surface, based on the coordinate transformation principle and the spatial meshing theory, a discrete algorithm of this tooth surface was proposed. The determination rule of the limiting points on the tooth surface was analyzed by introducing the generating method and tooth surface characteristics of this gear tooth. Through the corresponding limiting angles and the distribution law of the contact line, the gear tooth surface was discretized, and the theoretical data points of the tooth surface were obtained. The variations in gear tooth surface in a meshing cycle and under different parameters were analyzed. By comparing the virtual tooth model and the corresponding rolling experiment, the correctness of the tooth surface discrete algorithm of the curve-face gear was verified.

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