2930 Transmission Error Prediction of Helical Gear Pair with Variation in Tooth Flank Form

2007 ◽  
Vol 2007.4 (0) ◽  
pp. 45-46 ◽  
Author(s):  
Kunihiko MORIKAWA ◽  
Ryuta NISHIHARA ◽  
Koji KUMAGAI ◽  
Masaharu KOMORI
Keyword(s):  
Transmission Error ◽  
Helical Gear ◽  
Error Prediction ◽  
Gear Pair ◽  
Tooth Flank ◽  
Helical Gear Pair

scholarly journals A Study on the Comparison of Transmission Error Prediction for a Helical Gear Pair

2015 ◽  
Vol 14 (2) ◽  
pp. 14-18
Author(s):  
Lae-sung Kim ◽  
Qi Zhang ◽  
Chang Choi ◽  
Longjun Liang ◽  
Sung-ki Lyu
Keyword(s):  
Transmission Error ◽  
Helical Gear ◽  
Error Prediction ◽  
Gear Pair ◽  
Helical Gear Pair

scholarly journals Macro geometry optimization of a helical gear pair for mass, efficiency, and transmission error

2020 ◽  
Vol 144 ◽  
pp. 103634 ◽  
Author(s):  
Su-chul Kim ◽  
Sang-gon Moon ◽  
Jong-hyeon Sohn ◽  
Young-jun Park ◽  
Chan-ho Choi ◽  
...  
Keyword(s):  
Geometry Optimization ◽  
Transmission Error ◽  
Helical Gear ◽  
Gear Pair ◽  
Helical Gear Pair

Dynamic Analysis of Hybrid Gear Trains With Flexible Ring Gear Rim

2017 ◽  
Author(s):  
Xiangyang Xu ◽  
Junbin Lai ◽  
Yanfang Liu
Keyword(s):  
Dynamic Behavior ◽  
Planetary Gear ◽  
Transmission Error ◽  
Helical Gear ◽  
Gear Train ◽  
Gear Pair ◽  
Ring Gear ◽  
Gear Trains ◽  
Helical Gear Pair ◽  
Flexible Ring

In this paper, the dynamic behavior of a hybrid gear train (HGT), consists of a single-stage helical planetary gear set and a helical gear pair, is analyzed. A ring gear rim is connected with an internal gear in a helical planetary gear set and an external gear in a helical gear pair. Power flows from the helical gear pair to the helical planetary gear set. Therefore, loads in the external gear would cause additional axial force and radial force, which would lead to unexpected moment and force. As a result, deflections of ring gear rim must be taken into consideration. Under this condition, a three-dimensional dynamic model of a HGT with flexible ring gear rim is developed, in which six degrees of freedom including three translational motions and three rotational motions are employed. Coupling effects of the bearing support stiffness, gear mesh stiffness and time-varying transmission error are taken into consideration. The model also takes flexible supporting shafts and planet carrier into consideration by using finite element method. Then, the equations of motion in matrix form are established and solved to predict the forced vibration response due to the transmission error excitations. Subsequently, effects of positions of the helical gear pair relative to the planetary gear set and the thickness of ring gear rim on dynamic behavior of the HGT are discussed. The results show that the proposed model is potential and can be used to guide the design of hybrid gear trains.

Dynamic Transmission Error Prediction of Helical Gear Pair Under Sliding Friction Using Floquet Theory

2008 ◽  
Vol 130 (5) ◽  
Author(s):  
Song He ◽  
Rajendra Singh
Keyword(s):  
Floquet Theory ◽  
Sliding Friction ◽  
Initial Conditions ◽  
Transmission Error ◽  
Helical Gear ◽  
Marginal Effect ◽  
Gear Pair ◽  
Mesh Stiffness ◽  
Dynamic Transmission Error ◽  
Helical Gear Pair

An analytical solution to the dynamic transmission error of a helical gear pair is developed by using a single-degree-of-freedom model with piecewise stiffness functions that characterize the contact plane dynamics and capture the velocity reversal at the pitch line. By assuming a constant mesh stiffness density along the contact lines, a linear time-varying model (with parametric excitations) is obtained, where the effect of sliding friction is quantified by an effective mesh stiffness term. The Floquet theory is then used to obtain closed-form solutions to the dynamic transmission error, and responses are derived to both initial conditions and the forced periodic function under a nominal preload. Analytical models are validated by comparing predictions with numerical simulations, and the effect of viscous damping is examined. Stability analysis is also briefly conducted by using the state transition matrix. Overall, the sliding friction has a marginal effect on the dynamic transmission error of helical gears, as compared with spur gears, in the context of the torsional model.

Effect of Axial Vibrations on the Dynamics of a Helical Gear Pair

1993 ◽  
Vol 115 (1) ◽  
pp. 33-39 ◽  
Author(s):  
A. Kahraman
Keyword(s):  
Natural Frequencies ◽  
Helix Angle ◽  
Transmission Error ◽  
Helical Gear ◽  
Forced Response ◽  
Dynamic Mesh ◽  
Gear Pair ◽  
Gear Mesh ◽  
Static Transmission Error ◽  
Helical Gear Pair

In this paper, a linear dynamic model of a helical gear pair has been developed. The model accounts for the shaft and bearing flexibilities, and the dynamic coupling among the transverse, torsional, axial and rotational (rocking) motions due to the gear mesh. The natural frequencies and the mode shapes have been predicted, and the modes which are excited by the static transmission error have been identified. The forced response due to the static transmission error has also been predicted, including the dynamic mesh and bearing forces. A parametric study has been performed to investigate the effect of the helix angle on the free and forced vibrational characteristics of the gear pair. It has been shown that the helix angle can be neglected in predicting the natural frequencies and the dynamic mesh forces. An accurate prediction of dynamic bearing forces and moments requires inclusion of the helix angle in the analysis.

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