A new geometry definition and generation method for a face gear meshed with a spur pinion

2021 ◽  
pp. 095440542110609
Author(s):  
Xian-Long Peng
Keyword(s):  
Ruled Surface ◽  
Tooth Surface ◽  
Face Gear ◽  
Absolute Deviation ◽  
Numerical Examples ◽  
Gear Teeth ◽  
The Face ◽  
Geometry Feature ◽  
Tooth Flank ◽  
Straight Lines

The conventional tooth surface of a face gear is difficult to manufacture, and the cutter for the face gear cutting is not uniform even though the parameters of the pinion mating with the face gear slightly change. Based on the analysis of the geometry features of the tooth surface, a new developable ruled surface is defined as the tooth flank of the face gear, for which the most important geometry feature is that the flank could be represented by a family of straight lines, hence it could be generated by a straight-edged cutter. The mathematical models of the new ruled tooth surface, the cutter and the generation method are presented, the deviation between the ruled surface and the conventional surface, the correction of the ruled surface to reduce the deviation are investigated through numerical examples. The manufacturing process is simulated by VERICUT software, and the results demonstrate that even when the principle deviation is added to the machined deviation, the absolute deviation is on the micro-scale. The meshing and contact simulation shows that the new surface could obtain good meshing performance when the number of face gear teeth is greater than three times the number of pinion teeth. This research provides a new method for manufacturing face gears.

scholarly journals A New Geometry Definition and Generation Method For a Face Gear Meshed With a Spur Pinion

2021 ◽  
Author(s):  
Xianlong Peng
Keyword(s):  
Mathematical Models ◽  
Manufacturing Process ◽  
Tooth Surface ◽  
Face Gear ◽  
Absolute Deviation ◽  
Surface Approach ◽  
Numerical Examples ◽  
Gear Teeth ◽  
The Face ◽  
Tooth Flank

Abstract The conventional tooth surface of a face gear is difficult to manufacture, and the cutter is not uniform even though the parameters of its mating pinion slightly change. Based on the analysis of the features of the tooth surface, a new developable ruled surface approach is proposed that defines the tooth flank of the face gear, for which the most important feature is that it could be generated by a straight-edged cutter. This study presents mathematical models of the cutter and the new tooth surface and the corresponding deviation, correction and generation method for this surface, which are investigated through numerical examples. The manufacturing process is simulated by VERICUT software, and the results demonstrate that even when the principle deviation is added to the machined deviation, the absolute deviation is on the microscale. The meshing and contact simulation shows that the new surface could obtain good meshing performance when the number of face gear teeth is greater than three times the number of pinion teeth. This research provides a new method for manufacturing face gears.

scholarly journals Principle and Method for Machining Face Gear with Developable Ruled Surface

2020 ◽  
Vol 38 (6) ◽  
pp. 1299-1307
Author(s):  
Xianlong Peng ◽  
Yanyan Hou ◽  
Le Zhang ◽  
Feiyan Han ◽  
Farong Kou
Keyword(s):  
High Efficiency ◽  
Ruled Surface ◽  
Tooth Surface ◽  
Position Vector ◽  
Surface Model ◽  
Face Gear ◽  
Straight Line ◽  
Normal Distance ◽  
Long Time ◽  
The Face

The tooth surface of a face gear is recognized as un-developable ruled surface in tradition, which result in the problem that face gear generation using simple cutter with high efficiency and accuracy puzzled people for a long time. Applying the traditional shaping method for face gear generation in derivation of the tooth surface position vector, a space straight line equation was established by using this vector, to illustrate that the tooth surface of the traditional face gear could be considered as developable ruled surface constituted by space lines family, the position vectors of the developable ruled surface were established respectively based on involute, rack and considering the spatial position relationship in meshing. Elaboration and proposition of the principle and method that were used to generate the face gear with the developable ruled surface by straight edged cutter in line contact, and representation of the generated surface model. Furthermore the developable ruled surface was compared to the traditional surface, the normal difference between the two kinds of surfaces is on micro-scale. Numerical examples shows that the normal distance is no more than 1/70 of modulus, the developable ruled surface to which was performed simple longitudinal crowning is able to mesh with the involute surface of the pinion correctly, and demonstrates acceptable geometric meshing performance.

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.

Computer Simulation Analysis of Bending Stress for Face Gear with a New Type Fillet Tooth Surface

2011 ◽  
Vol 86 ◽  
pp. 411-414
Author(s):  
Yun Bo Shen ◽  
Jie Gao ◽  
Wen Qiang Ding
Keyword(s):  
Computer Simulation ◽  
Surface Structure ◽  
Spur Gear ◽  
Contact Analysis ◽  
Tooth Surface ◽  
Bending Stress ◽  
Face Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
The Face

Bending stress is a principal factor that defines the fatigue life of face gear. A new tooth surface structure with circular arc of fillet surface for the face gear has been developed. A method of processing or cutting of fillet surfaces of helical face gear by application of a shaper with tooth rounded top has also been represented. The bending stress of the tooth of face gear with new surface structure has been performed by computer simulation. Two versions of finite element model of tooth surfaces of face gear are generated by application of numerical technology. One version is based on the cutting shaper with tooth top shaper corner and another version is with addendum rounded top. Tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA) for the two versions of face gear drives with helical spur gear are also considered. The results of simulation show that the bending stress of tooth surface of the face gear with fillet surface generated by the rounded top of the shaper is 12% lower than the first version’s.

Generation Simulation and Grinding Experiment of Face-Gear Based on Single Index Generating Method

2013 ◽  
Author(s):  
Hui Guo ◽  
Ning Zhao ◽  
Shuyan Zhang
Keyword(s):  
Degrees Of Freedom ◽  
Optimization Method ◽  
Tooth Surface ◽  
Face Gear ◽  
Generating Method ◽  
Surface Deviation ◽  
Grinding Machine ◽  
Tooth Flank ◽  
Alignment Errors ◽  
In The Beginning

A mathmatical model of generating face-gear by grinding disk is developed. The influence of all kinds of errors of alignment and profile on face-gear flank deviation is considered and investigated in this model, such as offset error and pressure angle error of grinding disk, location error of virtual pinion axis. A optimization method for decreasing flank deviation is proposed. The corresponding correction parameters of machine which can be used for manufacturing face gear can be computed by this optimization method. In this method, the square sum of tooth surface deviation is taken to be the objective function. A grinding experiment of face-gear is performed on a CNC grinding machine with five degrees of freedom, and the tooth flank deviation is measured on gear measuring center. The flank deviation is very large due to some alignment errors in the beginning. When the grinding machine is adjusted by optimization computation results mentioned above, the measurement results show that the deviation of grinded face-gear flank is reduced substantially. The benefit is to improve the grinding quality of face-gear by this method.

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.

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