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.

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 Novel Design Procedure for Reducing Vibration and Noise in Gears

1993 ◽  
Author(s):  
K. Y. Yoon ◽  
S. S. Rao
Keyword(s):  
Gear Tooth ◽  
Design Procedure ◽  
Transmission Error ◽  
Tooth Profile ◽  
Profile Modification ◽  
Noise Characteristics ◽  
Spline Curves ◽  
Involute Gears ◽  
Static Transmission Error ◽  
Novel Design

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.

The Tooth Profile Modification in Gear Manufacture

2007 ◽  
Vol 10-12 ◽  
pp. 317-321 ◽  
Author(s):  
Zheng Li ◽  
K. Mao
Keyword(s):  
Gear Tooth ◽  
Dynamic Performance ◽  
Transmission Error ◽  
Tooth Profile ◽  
Noise And Vibration ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Manufacture Process ◽  
Static Performance ◽  
Noise Vibration

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.

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

Influence of the backlash generated by tooth accumulated wear on dynamic behavior of compound planetary gear set

2016 ◽  
Vol 231 (11) ◽  
pp. 2025-2041 ◽  
Author(s):  
Shijing Wu ◽  
Haibo Zhang ◽  
Xiaosun Wang ◽  
Zeming Peng ◽  
Kangkang Yang ◽  
...  
Keyword(s):  
Dynamic Response ◽  
Dynamic Model ◽  
Dynamic Behavior ◽  
Planetary Gear ◽  
Tooth Wear ◽  
Transmission Error ◽  
Gear Transmission ◽  
Tooth Surface ◽  
Contact Ratio ◽  
The Impact

Backlash is a key internal excitation on the dynamic response of planetary gear transmission. After the gear transmission running for a long time under load torque, due to tooth wear accumulation, the backlash between the tooth surface of two mating gears increases, which results in a larger and irregular backlash. However, the increasing backlash generated by tooth accumulated wear is generally neglected in lots of dynamics analysis for epicyclic gear trains. In order to investigate the impact of backlash generated by tooth accumulated wear on dynamic behavior of compound planetary gear set, in this work, first a static tooth surface wear prediction model is incorporated with a dynamic iteration methodology to get the increasing backlash generated by tooth accumulated wear for one pair of mating teeth under the condition that contact ratio equals to one. Then in order to introduce the tooth accumulated wear into dynamic model of compound planetary gear set, the backlash excitation generated by tooth accumulated wear for each meshing pair in compound planetary gear set is given under the condition that contact ratio equals to one and does not equal to one. Last, in order to investigate the impact of the increasing backlash generated by tooth accumulated wear on dynamic response of compound planetary gear set, a nonlinear lumped-parameter dynamic model of compound planetary gear set is employed to describe the dynamic relationships of gear transmission under the internal excitations generated by worn profile, meshing stiffness, transmission error, and backlash. The results indicate that the introduction of the increasing backlash generated by tooth accumulated wear makes a significant influence on the bifurcation and chaotic characteristics, dynamic response in time domain, and load sharing behavior of compound planetary gear set.

Approach of Selecting Profile Modifications Curves for Spur Gears

2012 ◽  
Vol 499 ◽  
pp. 138-142
Author(s):  
Zhe Yuan ◽  
Yu Guo
Keyword(s):  
Transmission Error ◽  
Tooth Profile ◽  
Spur Gears ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Straight Line ◽  
Meshing Process

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.

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