Analytical investigation of tooth profile modification effects on planetary gear dynamics

2013 ◽  
Vol 70 ◽  
pp. 298-319 ◽  
Author(s):  
Cheon-Jae Bahk ◽  
Robert G. Parker
Keyword(s):  
Planetary Gear ◽  
Analytical Investigation ◽  
Tooth Profile ◽  
Gear Dynamics ◽  
Profile Modification ◽  
Tooth Profile Modification

Study on Helical Tooth Profile Modification of Planetary Gear Transmission on the Basis of Gear Transmission Error

2011 ◽  
Vol 86 ◽  
pp. 47-50
Author(s):  
Yu Tang ◽  
Shan Chang ◽  
Zhi Qiang Wang ◽  
Kun Zhang
Keyword(s):  
Planetary Gear ◽  
Transmission Error ◽  
Tooth Profile ◽  
Gear Transmission ◽  
Mesh Stiffness ◽  
Profile Modification ◽  
Gear Mesh ◽  
Tooth Profile Modification ◽  
Planetary Transmission ◽  
Gear Mesh Stiffness

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.

A Study on Planetary Gear Dynamics With Tooth Profile Modification

2011 ◽  
Author(s):  
Cheon-Jae Bahk ◽  
Robert G. Parker
Keyword(s):  
Dynamic Response ◽  
Gear Tooth ◽  
Planetary Gear ◽  
Transmission Error ◽  
Tooth Profile ◽  
Peak Amplitude ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Static Transmission Error ◽  
The Impact

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.

scholarly journals Influence of Tooth Spacing Error on Gears With and Without Profile Modifications

2000 ◽  
Author(s):  
Giri Padmasolala ◽  
Hsiang H. Lin ◽  
Fred B. Oswald
Keyword(s):  
Computer Simulation ◽  
Dynamic Analysis ◽  
Dynamic Performance ◽  
Tooth Profile ◽  
Dynamic Loads ◽  
Error Pattern ◽  
Gear Dynamics ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Small Spacing

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.

scholarly journals Effect of Tooth Profile Modification on Dynamic Tooth Load of Planetary Gear Train

2019 ◽  
Vol 2019 ◽  
pp. 1-20
Author(s):  
Jiaming Zhou ◽  
Fengyan Yi ◽  
Xiangyang Xu ◽  
Junbin Lai ◽  
Yanfang Liu ◽  
...  
Keyword(s):  
Dynamic Response ◽  
Linear Time ◽  
Planetary Gear ◽  
Tooth Profile ◽  
Gear Train ◽  
Time Varying ◽  
Planetary Gear Train ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Deviation Factor

This paper aims at investigating the effects of tooth profile modification (TPM) on the dynamic response of planetary gear train (PGT). A numerical model is carried out to calculate two major excitation sources of PGT, time-varying mesh stiffness (TVMS), and transmission errors (TEs). On this basis, a linear time-varying dynamic model of a PGT considering TVMS, TEs, and TPM is developed. Dynamic deviation factor is further introduced to describe the dynamic response of the PGT. In this paper, TPM is only applied to the external meshes firstly. Effects of TPM parameters, such as amount of TPM, normalized modification angle, and modification curve, on the excitation sources and dynamic response of the PGT are discussed in detail. Subsequently, investigation on the effects of TPM only applied to internal meshes is conducted. Finally, with the aim to obtain the optimal TPM for the minimization of dynamic load of PGT in both external and internal gear meshes, the genetic algorithm (GA) is employed. This research may shed light upon design optimization of PGT with respect to improvement of vibration performance by means of optimized TPM.

<i>Analysis of transmission error for compound planetary gear reducer by tooth profile modification</i>

2019 ◽  
Author(s):  
Nam-Gyu Lee ◽  
Dae-Hyun Lee ◽  
Yeon-Jun Jung ◽  
Md. Abu Ayub Siddique ◽  
Kyu-Chul Nam ◽  
...  
Keyword(s):  
Planetary Gear ◽  
Transmission Error ◽  
Tooth Profile ◽  
Profile Modification ◽  
Tooth Profile Modification

Effect of Tooth Profile Modifications on the Dynamics of High-Contact-Ratio Gears With Different Tooth Spacing Errors

2006 ◽  
Author(s):  
Hsiang H. Lin ◽  
Jing Liu
Keyword(s):  
Computer Simulation ◽  
Dynamic Analysis ◽  
Dynamic Performance ◽  
Tooth Profile ◽  
Dynamic Loads ◽  
Contact Ratio ◽  
Gear Dynamics ◽  
Profile Modification ◽  
Tooth Profile Modification

A computer simulation was conducted to investigate the effectiveness of profile modification for reducing dynamic loads in high-contact-ratio 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 dynamic analysis was performed using a revised version of a NASA gear dynamics code, modified to take into consideration the tooth spacing errors in the dynamic analysis. The findings of this study can be used to design robust tooth profile modification for improving dynamic performance of high-contact-ratio gear sets with different tooth spacing errors.

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