The Bending and Surface Contact Stress Variations in a Mating Plastic Gear Pair

2007 ◽  
Author(s):  
Ah-Der Lin ◽  
Jao-Hwa Kuang
Keyword(s):  
Dynamic Model ◽  
Plastic Material ◽  
Frictional Coefficient ◽  
High Sensitivity ◽  
Spur Gear ◽  
Contact Stresses ◽  
Gear Pair ◽  
Surface Contact ◽  
Influence Of Temperature On ◽  
Plastic Gears

A dynamic model of an engaging spur gear pair is proposed to study the distributions and variation of bending and surface contact stresses around the fillet and contacting points for plastic gears. The parameters used in this dynamic model include time-varying mesh stiffness, frictional coefficient, and profile-shifted factor, etc. Due to high sensitivity to heat for plastic material, the influence of temperature on plastic gears has also been taken into consideration in this work. A computational algorithm is developed to simulate the variation of fillet bending and surface contact stresses during the engagement with different speeds. The results indicate that the operating temperature may affect the distribution and the magnitude of bending and surface contact stresses of a plastic gear pair significantly.

scholarly journals Dynamic Model of Spur Gear Pair with Modulation Internal Excitation

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Zhong Wang ◽  
Lei Zhang ◽  
Yuan-Qing Luo ◽  
Chang-Zheng Chen
Keyword(s):  
Dynamic Model ◽  
Transmission Error ◽  
Spur Gear ◽  
Experimental Result ◽  
Time Varying ◽  
Gear Pair ◽  
Mesh Stiffness ◽  
Gear Mesh ◽  
Internal Excitation ◽  
Modulation Sideband

In the actual measurements, vibration and noise spectrum of gear pair often exhibits sidebands around the gear mesh harmonic orders. In this study, a nonlinear time-varying dynamic model of spur gear pair was established to predict the modulation sidebands caused by the AM-FM modulation internal excitation. Here, backlash, modulation time-varying mesh stiffness, and modulation transmission error are considered. Then the undamped natural mode was studied. Numerical simulation was made to reveal the dynamic characteristic of a spur gear under modulation condition. The internal excitation was shown to exhibit obvious modulation sideband because of the modulation time-varying mesh stiffness and modulation transmission error. The Runge-Kutta method was used to solve the equations for analyzing the dynamic characteristics with the effect of modulation internal excitation. The result revealed that the response under modulation excitation exhibited obvious modulation sideband. The response under nonmodulation condition was also calculated for comparison. In addition, an experiment was done to verify the prediction of the modulation sidebands. The calculated result was consistent with the experimental result.

scholarly journals Research on nonlinear dynamic model of spur gear pair

2021 ◽  
Vol 1820 (1) ◽  
pp. 012038
Author(s):  
Chen Zhang ◽  
Xuew Liu ◽  
Xingl Shi ◽  
Xiaom Ling
Keyword(s):  
Dynamic Model ◽  
Nonlinear Dynamic ◽  
Spur Gear ◽  
Gear Pair ◽  
Nonlinear Dynamic Model

A finite line contact tribo-dynamic model of a spur gear pair

2018 ◽  
Vol 119 ◽  
pp. 753-765 ◽  
Author(s):  
Tiancheng Ouyang ◽  
Haozhong Huang ◽  
Xiaorong Zhou ◽  
Mingzhang Pan ◽  
Nan Chen ◽  
...  
Keyword(s):  
Dynamic Model ◽  
Spur Gear ◽  
Gear Pair ◽  
Line Contact ◽  
Finite Line Contact ◽  
Finite Line

A tribo-dynamic model of a spur gear pair

2013 ◽  
Vol 332 (20) ◽  
pp. 4963-4978 ◽  
Author(s):  
S. Li ◽  
A. Kahraman
Keyword(s):  
Dynamic Model ◽  
Spur Gear ◽  
Gear Pair

Rocking vibration and dynamic characteristics of a two-stage spur and bevel gear transmitting system

2016 ◽  
Vol 231 (24) ◽  
pp. 4528-4547 ◽  
Author(s):  
Haiyan Yan ◽  
Siyu Chen ◽  
Jinyuan Tang
Keyword(s):  
Dynamic Model ◽  
Transmission Error ◽  
Spur Gear ◽  
Bevel Gear ◽  
Mode Shapes ◽  
Gear Pair ◽  
Tooth Contact Analysis ◽  
Two Stage ◽  
Rocking Motion ◽  
Gyroscopic Effects

In this study, theoretical analysis is performed in order to investigate the nonlinear vibration response of the two-stage spur and straight bevel gears transmitting system. The system dynamic model of the transmitting system is considered in detail. The tooth contact analysis results are obtained through calculation and the dynamic model with time-varying stiffness, and backlash for both gear pair is built. The natural frequencies, mode shapes, and critical speed for the transmitting system with gyroscopic effects are calculated. The results show that the whirling motion due to the second shaft may be the main factor of vibration for the transmitting system and the lateral–torsional–axial vibration dominate the overall system vibration. Many critical characteristics cannot be represented in the transmission error, especially when the rocking and other freedoms are considered in the gear transmitting system. The rocking motion will be excited due to the coupled effect of bevel gear pair, which may be also the reason for the catastrophic damage of the thin web spur gear.

The Contact Stress Analysis on Involute Slope Modification of Asymmetric Spur Gear

2014 ◽  
Vol 926-930 ◽  
pp. 1436-1439
Author(s):  
Xiao He Deng ◽  
Jing Cai
Keyword(s):  
Stress Analysis ◽  
Contact Stress ◽  
Spur Gear ◽  
Contact Stresses ◽  
Gear Pair ◽  
Research Results

The paper established an involute slope modification model of asymmetric spur gear pair. The characteristic of the involute slope modification was analyzed by changing different modification parameters. The contact stresses of asymmetric spur gear under different modification parameters were compared. Research results showed that the modification parameters influence the meshing performance of gear pairs.

On the Interaction Between the Dynamic Contact Load and the Surface Wear of a Plastic Gear Pair

2000 ◽  
Author(s):  
J. H. Kuang ◽  
A. D. Lin
Keyword(s):  
Dynamic Model ◽  
Damping Ratio ◽  
Dynamic Contact ◽  
Gear Pair ◽  
Mesh Stiffness ◽  
Contact Points ◽  
Curve Fit ◽  
Contact Loads ◽  
Computation Algorithm ◽  
Plastic Gears

Abstract Due to the merits, for example, silent operation, self-lubrication, and light weight, etc., the demand for plastic gears increases tremendously. The purpose of this paper is to investigate the interaction between the dynamic contact loads and the sliding wear depths of a meshing plastic gear pair. Parameters, such as time-varying mesh stiffness, damping ratio, tooth errors, etc., are included in the gear dynamic model presented. As to the mesh stiffness, finite element results will be used to curve fit the flexible stiffnesses at different contact points. The values of the damping ratio and the friction coefficient are referenced to the experimental results in the papers cited. In addition to the studies of the parameters involved in the dynamic model, the wear equation proposed by Archard is used to calculate the wear depths of the running gear pair. With the gear dynamic model and the wear model developed, a computation algorithm is designed to simulate the interaction of the sliding wears and the dynamic contact loads.

A Comparison of Ratings for Plastic Gears

1989 ◽  
Vol 203 (1) ◽  
pp. 31-38 ◽  
Author(s):  
D Walton ◽  
Y W Shi
Keyword(s):  
Failure Mechanisms ◽  
Contact Stresses ◽  
Hertzian Contact ◽  
Contact Theory ◽  
British Standard ◽  
Surface Contact ◽  
Rating Method ◽  
Plastic Gears ◽  
Hertzian Contact Theory

The failure mechanisms of plastic gears are examined and methods for calculating tooth bending and surface contact stresses for non-metallic gears are reviewed. The applications and limitations of the Lewis equation and Hertzian contact theory are considered and comparisons made between steel and plastic conditions, gear standards and various commercial rating practices for plastic gears. Special emphasis is laid on the British Standard BS 6168: 1987, the Polypenco rating method and ESDU 68001 for the design of non-metallic gears. A comparison is made between gears of different materials and material combinations, and for gears running under dry and oil-lubricated conditions. The effects of gear speed on ratings are briefly examined. As a result some shortcomings in the various rating methods are mentioned.

Effect of Tooth Deflection and Corner Contact on Backside Separation (Backlash) of Gear Pairs

2003 ◽  
Author(s):  
Tugan Eritenel ◽  
Donald R. Houser ◽  
Sandeep M. Vijayakar ◽  
James M. Casella
Keyword(s):  
Spur Gear ◽  
Gear Pair ◽  
Finite Element Program ◽  
Analysis Methodology ◽  
Plastic Materials ◽  
Element Program ◽  
Deflection Analysis ◽  
Helical Gear Pair ◽  
Plastic Gears ◽  
Increasing Load

Because plastic materials have moduli that are much lower than those of metals, the deflections of loaded plastic gears are much greater than those of steel gears. This paper presents an evaluation of tooth deflections and the effect of load on the backlash of these gears using a finite element program that has an accurate contact deflection analysis embedded within it. In addition to deflection analysis, the effect of tip modification on the contact regime and loads along the edges of the plastic gears is presented. An example spur gear pair and an example helical gear pair are used to demonstrate the analysis methodology. The results of the analysis show that backside tooth contact does not occur as tooth deflections in plastic gears increase with increasing load. In fact, the backside gap actually increases with increasing load.

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