Kinematic Study of the Face Gear

1990 ◽  
Author(s):  
Yih-Jen Dennis Chen
Keyword(s):  
Computer Program ◽  
Mathematical Description ◽  
Design Automation ◽  
Gear Tooth ◽  
Tooth Surface ◽  
Face Gear ◽  
Gear Drive ◽  
Face Width ◽  
Kinematic Study ◽  
The Face

Abstract This paper presents the kinematic study of the face gear drive system. The study includes three different configurations which are: (1) the on-center orthogonal face gear drive, (2) the on-center non-orthogonal face gear drive, and (3) the offset orthogonal face gear drive. The mathematical description for the gear meshing and the resulting face gear tooth surface is developed. This paper also presents the criteria for detecting the limitation of the effective face width due to tooth pointing and undercutting. The technique presented is applied to develop a computer program. This design automation tool allows visualizing the gear meshing and tooth geometry of the face gear drive.

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.

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 Meshing Characteristics for Face Gear with Arcuate Tooth

2011 ◽  
Vol 86 ◽  
pp. 39-42
Author(s):  
Xiang Wei Cai ◽  
Zong De Fang ◽  
Jin Zhan Su
Keyword(s):  
Contact Analysis ◽  
Tooth Surface ◽  
Face Gear ◽  
Tooth Contact Analysis ◽  
Surface Equation ◽  
Transmission Errors ◽  
Gear Drive ◽  
Parabolic Function ◽  
The Face ◽  
Meshing Characteristics

The generating of face gear with arcuate tooth has been proposed in this paper, and the meshing characteristics are investigated. Based on the concept of imaginary gear cutter, tooth surface equation has been derived, flank modification has also been considered. The transmission errors and bearing contacts of the face gear drive with arcuate tooth under different assembly conditions are investigated by applying the tooth contact analysis. The numerical results reveal that the bearing contacts are not sensitive to the errors of misalignments, and a more favorable type parabolic function of transmission errors with better symmetry and reduced amplitude may be obtained according to the modification of the face gear.

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.

The Correction of Face Gear Tooth Flank Deviation

2012 ◽  
Vol 503-504 ◽  
pp. 1120-1124
Author(s):  
Ning Zhao ◽  
Sheng Wen Hou ◽  
Hui Guo ◽  
Hao Gao
Keyword(s):  
Gear Tooth ◽  
Three Dimensional ◽  
Correction Method ◽  
Face Gear ◽  
Gear Drive ◽  
The Face ◽  
Measuring Machine ◽  
Tooth Flank ◽  
The Mathematical Model ◽  
Generating Grinding

A orthogonal-shaft face gear drive with spur involute pinion is considered. The mathematical model of the face gear tooth flank was studied and the correction parameters was taken into account. The measurement grid schema was accomplished on the rotary projection of theoretical tooth flank, with the real tooth flank data from three-dimensional measuring machine or gear measuring center, the tooth flank deviation could be calculated. The effect of correction parameters on tooth flank deviation was investigated and the correction method for the single index generating grinding was proposed. Finally a numerical example was presented and the results show that the method proposed can decrease the tooth flank deviation.

Analysis of Tooth Surface Temperature Field and the Influencing Factors of Face Gear Driven

2012 ◽  
Vol 430-432 ◽  
pp. 1405-1411
Author(s):  
Guo Qi He ◽  
Hong Zhi Yan ◽  
Wei Hu ◽  
Tao Liang Shu
Keyword(s):  
Surface Temperature ◽  
Gear Tooth ◽  
Tooth Surface ◽  
Face Gear ◽  
Friction Heating ◽  
The Face ◽  
Instantaneous Temperature ◽  
Measurement Experiment ◽  
Gear Contact ◽  
Surface Temperature Field

According to the theory of heat transfer, it analyzed the calculating method of tooth friction heating in the process of face gear tooth meshing. It emulational analyzes the thermal coupling of the face gear with ANSYS/LS-DYNA, and extracts the state of each engaged positions in the meshing process, emulate the temperature distribution & temperature changing trends in the process of face gear tooth meshing. Through the temperature measurement experiment the face gear contact, it verifies the correctness of the emulation results. Simultaneously, it also analyzes the influence to the surface temperature of face gear of rotation and load, In the case of other conditions remain unchanged, low-speed is an effective way to prevent instantaneous temperature rise.

scholarly journals Mathematical model to determination of resharpening territory of Conical Hob

2014 ◽  
Vol 8 (2) ◽  
pp. 45-50
Author(s):  
Illés Dudás ◽  
Sándor Bodzás
Keyword(s):  
Mathematical Model ◽  
Critical Angle ◽  
Worm Gear ◽  
Tooth Surface ◽  
Face Gear ◽  
Axial Section ◽  
Gear Drive ◽  
The Face ◽  
Conical Worm

Based on the general mathematical model of Illés Dudás which is appropriate for mathematical modelling of production technology methods we have worked out a model for resharpening analysis of conical hob. After the hob resharpening using numerical calculations the determination of the tooth surface of face gear by cutting edges is necessary for the analysis. Based on this methods we could calculate the permissible critical angle of the hob and the profiles of the hob and the face gear in axial section. The permissible critical angle of the hob is the critical angle the hob cutting edge of which manufactured face gear profile is situated in the permissible profile error tolerance. We have worked out a new geometric conical worm gear drive that is the conical worm gear drive having arched profile. Using this mathematical model we have done resharpening analysis for the hob having arched profile and determined the permissible critical angle.

A precision generating hobbing method for face-gear based on worm hob

2016 ◽  
Vol 231 (6) ◽  
pp. 1057-1071
Author(s):  
Yan-zhong Wang ◽  
Liang-wei Hou ◽  
Zhou Lan ◽  
Can-hui Wu ◽  
Qing-jun Lv ◽  
...  
Keyword(s):  
Machine Tool ◽  
Production Efficiency ◽  
Control Method ◽  
Gear Tooth ◽  
Tooth Surface ◽  
Machining Accuracy ◽  
Analysis Model ◽  
Face Gear ◽  
Gear Hobbing ◽  
The Face

In order to improve the machining accuracy and production efficiency of face-gear, a method of face-gear generating hobbing by worm is provided in this paper. The principle of face-gear hobbing worm is analyzed, and the mathematical model of the worm is presented based on the principle and the theory of meshing. Taking the hobbing needs into account, the special machine tool is provided, and the movement control method of face-gear hobbing by the worm on the machine tool is proposed. The equation of face-gear tooth surface is calculated, and the 3-D model of face-gear is established based on CATIA software. To reduce the face-gear tooth profile errors induced by ratio errors, an error analysis model of face-gear hobbing is established. The experiment is carried out, and the completed specimen is detected by Coordinate Measuring Machining (CMM). The processing parameter is amended according to the tooth flank detection results, and the maximum normal deviation of the whole tooth surface of the face-gear specimen is improved from 243.2 µm to 61.0 µm. Experiment results demonstrate that the method of face-gear hobbing by worm is an effective approach to achieve the precision face-gear with high dimensional accuracy.

Mathematical Model and Tooth Surface Representation of Face-Gear Drive with Curvilinear-Tooth Cylindrical Gear

2012 ◽  
Vol 426 ◽  
pp. 93-96 ◽  
Author(s):  
Wen Jin Wang ◽  
Jing Zhang ◽  
Zhi Qiang Zhang ◽  
J. Zhao ◽  
L. L. Zhang ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Differential Geometry ◽  
Gear Tooth ◽  
Tooth Surface ◽  
Face Gear ◽  
Surface Representation ◽  
Cylindrical Gear ◽  
Gear Drive

A tilted head-cutter is considered the generating tool for the generation of the proposed face-gear and a mathematical model of face-gear with curvilinear shaped teeth is developed according to the differential geometry and meshing theory. The generation of a conjugated pinion is based on application of a tilted head-cutter as well. Computer graphs of the gear with curvilinear shaped teeth are presented based on the developed gear’s mathematical model, and then the equation of the gear-tooth surface is deduced. An example is presented to demonstrate the application of the proposed mathematical model.

Geometry design, three-dimensional modeling and kinematic analysis of orthogonal fluctuating gear ratio face gear drive

2012 ◽  
Vol 227 (4) ◽  
pp. 779-793 ◽  
Author(s):  
Chao Lin ◽  
Hai Gong ◽  
Ning Nie ◽  
Qinlong Zen ◽  
Lei Zhang
Keyword(s):  
Design Method ◽  
Angular Displacement ◽  
Three Dimensional ◽  
Angular Acceleration ◽  
Gear Ratio ◽  
Tooth Surface ◽  
Coordinate Systems ◽  
Face Gear ◽  
Gear Drive ◽  
The Face

As the current research of face gear drive cannot realize fluctuating gear ratio, a design method of orthogonal fluctuating gear ratio face gear drive is proposed. The mathematical model of orthogonal fluctuating gear ratio face gear drive is found based on the space engagement theory. The equation of the pitch curve, addendum curve and dedendum curve of face gear are derived. The design method of tooth surface of the face gear is available based on the envelope method. The conversion relationship of enveloping coordinate systems is obtained during the enveloping process of orthogonal fluctuating gear ratio face gear drive after the establishment of enveloping coordinate systems. Then combining with equation of generating surface, the tooth surface equation of the face gear is obtained. The three-dimensional model of orthogonal fluctuating gear ratio face gear is acquired on the basis of a modeling program, which is developed under the environment of VB and Solidworks (API). Furthermore, localization of the bearing contact is achieved by the manufacturing method and it is justified by the finite element method analysis result. Finally, the kinematics of the orthogonal fluctuating gear ratio face gear drive is analyzed, and the change laws of transmission ratio, angular displacement and angular acceleration of the face gear are acquired.

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