The Tooth Profile Modification in Gear Manufacture

2007 ◽  
Vol 10-12 ◽  
pp. 317-321 ◽  
Author(s):  
Zheng Li ◽  
K. Mao

The gear design always be focus on analyzing the static performance (strength, stress, friction) and dynamic performance (inertia, noise, vibration), and especially for dynamic, the noise and vibration of gear are big problems. Actually, the main reason of noise and vibration is transmission error between master and slave gears, but the error must exist in any manufacture process. To decrease harmful noise and vibration, the most effective method is “tooth profile modification”, which is by tip relief or root relief for modifying geometry profile of gear tooth to regulate transmission error. In the paper, the transmission error of original model and modified model will be compared to show the gear profile modification will influence the transmission error obviously.

Author(s):  
Cheon-Jae Bahk ◽  
Robert G. Parker

This study investigates the impact of tooth profile modification on planetary gear dynamic response. Micro-scale geometric deviations from an involute gear tooth profile add an additional excitation source, potentially reducing gear vibration. In order to take account of the excitation, tooth profile modification is included in an analytical planetary gear model. Nonlinearity due to tooth contact loss is considered. Time-varying mesh stiffness and both rotational and translational gear motions are modeled. The accuracy of the proposed model for dynamic analysis is correlated against a benchmark finite element analysis. Perturbation analysis is employed to obtain a closed-form approximation of planetary gear dynamic response with tooth profile modification. Mathematical expressions from the perturbation solution allow one to easily estimate the peak amplitude of resonant response using known parameters. Variation of the peak amplitude with the amount and the length of profile modification illustrates the effect of tooth profile modification on planetary gear dynamic response. For a given external load, the tooth profile modification parameters for minimal response are readily obtained. Static transmission error and dynamic response are minimized at different amounts of profile modification, which contradicts common practical thinking regarding strong correlation between static transmission error and dynamic response. Contrary to the expectation of further reduced vibration, the combination of the optimum sun-planet and ring-planet mesh tooth profile modifications that minimizes response when applied individually increases dynamic response.


2012 ◽  
Vol 499 ◽  
pp. 138-142
Author(s):  
Zhe Yuan ◽  
Yu Guo

The tooth profile modification can generally choose straight line modification, parabolic modification and arc modification. In order to accurately determine the tooth profile modification curves, basing on analysis of the vibration that effected by transmission error, a pair of gears meshing process is simulated with FEM approach. Aiming at reducing the fluctuation of transmission error, the transmission error curves of straight line modification, parabolic modification and arc modification with the same modification parameters are plotted, and the best modifications curve is obtained. The research shows that the approach is accurate to choose the best modification curve, and reduce the fluctuation of transmission error greatly. The approach illustrated in this paper provides a new way for designing the noiseless gears.


2011 ◽  
Vol 86 ◽  
pp. 47-50
Author(s):  
Yu Tang ◽  
Shan Chang ◽  
Zhi Qiang Wang ◽  
Kun Zhang

In order to minimize the fluctuation of gear transmission error (GTE) about the planetary gear transmission. A method was developed to deciding tooth profile modification curves of planetary transmission. According to the condition of the invariable design load, computing the dynamic characteristics of the planetary transmission system under modified and un-modified gear. At the same time, the compare is carried through of the dynamic characteristics for modified and un-modified gear. The results of the dynamic calculation indicate that the profile modification method can make the amplitudes of gear mesh stiffness change calmness and reduce the amplitudes of gear mesh stiffness by this method in paper. At last, the conclusion can be obtained that the tooth profile modification can reduce the vibration and noise of the planetary transmission system.


Author(s):  
K. Y. Yoon ◽  
S. S. Rao

Abstract A new method is proposed for reducing vibration and noise of involute gears. The method is based on the use of cubic spline curves for gear tooth profile modification. The tooth profile is constrained to assume an involute shape during the loaded operation. Thus the new gear profile assures conjugate motion at all points along the line of action. The new profile is found to result in a more uniform static transmission error compared to standard involute profile thereby contributing to the improvement of vibration and noise characteristics of the gear.


Author(s):  
Prokop S'roda ◽  
Ronald L. Huston

Abstract This paper presents a method for determining optimum involute tooth profile modifications to reduce scoring and to increase load bearing capacity. The method is based upon Bloks theory of lubrication and wear. The method leads to design charts incorporating common geometrical gearing parameters. An example is presented.


2011 ◽  
Vol 328-330 ◽  
pp. 574-578
Author(s):  
Liang Bin Hu ◽  
Sheng Li ◽  
Feng Wei Yuan ◽  
Bi Wen Li ◽  
Cong Gui Chen

Slotting process used to achieve modify heavy-loading mine gear.According to the pitch circle radius of gear tooth profile modification is difficult to accurately draw, reverse-designed the profile of the modification slotting cutter fold may occur on the cusp, generating simulation for slotting profile modification is implemented using MATLAB based on engagement theory of slotting process,which can test whether the pitch circle is set to reasonable, to avoid resulting the top or root of conjugate gear’s profiles be cut,achieved the adaptive design of profile modification slotting cutter.


Author(s):  
Giri Padmasolala ◽  
Hsiang H. Lin ◽  
Fred B. Oswald

Abstract A computer simulation was conducted to investigate the effectiveness of profile modification for reducing dynamic loads in gears with different tooth spacing errors. The simulation examined varying amplitudes of spacing error and differences in the span of teeth over which the error occurs. The modification considered included both linear and parabolic tip relief. The analysis considered spacing error that varies around most of the gear circumference (similar to a typical sinusoidal error pattern) as well as a shorter span of spacing errors that occurs on only a few teeth. The dynamic analysis was performed using a revised version of a NASA gear dynamics code, modified to add tooth spacing errors to the analysis. Results obtained from the investigation show that linear tip relief is more effective in reducing dynamic loads on gears with small spacing errors but parabolic tip relief becomes more effective as the amplitude of spacing error increases. In addition, the parabolic modification is more effective for the more severe error case where the error is spread over a longer span of teeth. The findings of this study can be used to design robust tooth profile modification for improving dynamic performance of gear sets with different tooth spacing errors.


Author(s):  
Faxiang Xie ◽  
Jing Zhang ◽  
Yinan Han ◽  
Canyuan Wu ◽  
Zhengyang Zhao ◽  
...  

Abstract In the current harmonic drive tooth profile design, the three-dimensional spatial spline tooth meshing is not fully considered, which results in problems such as inconsistence of harmonic gearing backlash, low loading capacity, low transmission accuracy and even meshing tooth profile interference in actual machining of the harmonic reducer. Based on this, this paper proposes a harmonic drive meshing quality test method at extremely low input speed based on tooth profile of double–circular-arc profile (DCTP). And combined with the theory of spatial multi-tooth meshing, the corresponding pre-control of different tooth profile modification is analyzed. The optimized non-interference three-dimensional spatial tooth profile modification method is proposed, which effectively reduces its transmission error.


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