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

Author(s):  
Yan-zhong Wang ◽  
Liang-wei Hou ◽  
Zhou Lan ◽  
Can-hui Wu ◽  
Qing-jun Lv ◽  
...  

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.

2013 ◽  
Vol 819 ◽  
pp. 100-104
Author(s):  
Xue Yu Peng ◽  
Qing Li ◽  
Tai Yong Wang

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.


2011 ◽  
Vol 86 ◽  
pp. 475-478
Author(s):  
Xiao Zhen Li ◽  
Ru Peng Zhu ◽  
Zheng Min Qing Li ◽  
Fa Jia Li

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.


2019 ◽  
Vol 103 (1) ◽  
pp. 003685041988107 ◽  
Author(s):  
Shuai Mo ◽  
Jiabei Gong ◽  
Guoguang Jin ◽  
Shengping Zhu ◽  
Ting Zhang ◽  
...  

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.


2012 ◽  
Vol 430-432 ◽  
pp. 1405-1411
Author(s):  
Guo Qi He ◽  
Hong Zhi Yan ◽  
Wei Hu ◽  
Tao Liang Shu

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.


Author(s):  
V. Simon

A method is presented for the determination of the influence of gear hobbing on the precision and loaded tooth contact of worm gears. In order to get a worm gear set with fully conjugated teeth surfaces the gear teeth should be processed by a hob whose generator surface is identical to the worm surface. This requirement can be achieved by the use of a hob whose diameter is equal to the worm diameter and with infinite number of cutting edges. But because of the teeth in the hob are relieved, the diameter of the new hob should be slightly larger than the worm diameter to provide tool life. On the other hand, because of the finite number of hob teeth, the gear tooth surface, manufactured by such a hob, is not a smooth surface; it consists of a relatively big number of small parts of helical surfaces formed by the cutting edges of the hob. In this paper a method is presented for the determination of differences between the gear tooth surface processed by an oversized hob of finite number of teeth or by a flying tool, and the theoretically required gear tooth surface. Also the influence of hob oversize and machine tool settings on tooth contact pressure and transmission errors is determined. The full geometry and kinematics of gear tooth processing by an oversized hob or by flying tool is included. The theoretical background is implemented by a computer program. By using this program, the influence of relevant design parameters of worm gear set and hob and of machine tool settings on processed gear tooth errors and on loaded tooth contact of the worm gear pair is investigated and discussed. By another computer program the influence of cutter diameter and machine tool settings for pinion teeth processing on tooth contact pattern in spiral bevel gears is investigated and presented.


2007 ◽  
Vol 129 (5) ◽  
pp. 919-925 ◽  
Author(s):  
Vilmos Simon

In this paper, a method is presented for the determination of the differences between the worm gear tooth surface processed by an oversized hob of finite number of teeth or by a flying tool, and the theoretically required gear tooth surface. The influence of hob oversize and machine tool settings on tooth contact pressure and transmission errors is determined. The full geometry and kinematics of gear tooth processing by an oversized hob or by a flying tool is included. The theoretical background is implemented by a computer program. By using this program, the influence of relevant design parameters of the worm gear set and the hob and of machine tool settings on processed gear tooth errors and on loaded tooth contact of the worm gear pair is investigated and discussed.


Author(s):  
Yih-Jen Dennis Chen

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.


Author(s):  
Yuansheng Zhou ◽  
Jinyuan Tang ◽  
Heng Zhou ◽  
Feng Yin

With the original worm grinding method to manufacture face-gear, the mathematical models of shaper, worm, and face-gear are established at the beginning. Subsequently, a problem of the original grinding method is illustrated that the working part of the face-gear tooth surface may not be covered completely. To overcome this problem, multistep grinding method for completely grinding the whole working part is proposed by studying contact lines of the tooth surface and singularities of the worm thread surface. The proposed method is verified in matlab with theoretical analysis. Finally, the simulations of the original method and the multistep method in the vericut software verify the feasibility and correctness of the proposed method. The study provides an effective and precise approach to grinding the face-gear.


Author(s):  
Masahiko Mori ◽  
Zachary I. Piner ◽  
Ke Ding ◽  
Adam Hansel

This paper presents the virtual machine tool environment Mori Seiki established for the evaluation of static, dynamic, and thermal performance of Mori Seiki machine tools. In this system environment, machining accuracy and quality are the main focus for each individual analysis discipline. The structural analysis uses the Finite Element Method (FEM) to monitor and optimize the static rigidity of the machine tool. Correlation between physical experiments and digital simulation is conducted to validate and optimize the static simulation accuracy. To accurately evaluate and effectively optimize dynamic performance of the machine tool in the virtual environment, the critical modal parameters such as damping and stiffness are calibrated based on experimental procedures which results in precise setup of the frequency response models. Computational Fluid Dynamic (CFD) analysis model is built in the environment so that the thermal perspective of the machine tool is evaluated and thermal deformation is monitored. This paper demonstrates compatibility of the digital simulation with physical experiments and success in integrating theoretical simulation processes with practical Mori Seiki machine tool development.


Author(s):  
Xian-Long Peng

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.


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