Effects of Deviation of Tooth Surface Errors of a Helical Gear Pair on the Transmission Error.

Abstract Based on “slice method”, the improved time-varying mesh stiffness (TVMS) calculation model of helical gear pair with tooth surface wear is proposed, in which the effect of friction force that obtained under mixed elasto-hydrodynamic lubrication (EHL) is considered in the model. Based on the improved TVMS calculation model, the dynamic model of helical gear system is established, then the influence of tooth wear parameters on the dynamic response is studied. The results illustrate that the varying reduction extents of mesh stiffness along tooth profile under tooth surface wear, in addition, the dynamic response in time-domain and frequency-domain present significant decline in amplitude under deteriorating wear condition.

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

Mechanism and Machine Theory ◽

10.1016/j.mechmachtheory.2019.103634 ◽

2020 ◽

Vol 144 ◽

pp. 103634 ◽

Cited By ~ 4

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

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

Journal of the Korean Society of Manufacturing Process Engineers ◽

10.14775/ksmpe.2015.14.2.014 ◽

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

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Using variable modulus to modify a rack cutter and generate a gear pair

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/09544062211061711 ◽

2022 ◽

pp. 095440622110617

Author(s):

Yang Hsueh-Cheng ◽

Zhong-Wei Huang

Keyword(s):

Helical Gear ◽

Tooth Surface ◽

Gear Pair ◽

Tooth Contact Analysis ◽

Parabolic Profile ◽

Face Width ◽

Variable Modulus ◽

The Face ◽

Helical Gear Pair ◽

Assembly Error

In this paper, two normal imaginary helical rack cutters were first established. One of these cutters is a skewed-rack cutter with an asymmetrical straight edge. The other is a rack cutter with an asymmetric parabolic profile. Second, the gear’s tooth surface of the asymmetric parabolic rack cutter is modified to be barrel-shaped based on a variable modulus. The tooth thickness of the gear is gradually reduced along the face width of the tooth from the middle of the tooth surface. Then the coordinate relationship between the gears’ blanks and the imaginary helical rack cutters was established. Through the differential geometry, crowned and uncrowned helical gear pairs were generated. Because of human factors, when the gear pair is installed, it is easy to cause the gear pair edge contact. It is necessary to add artificial assembly error settings through the tooth contact analysis to investigate the kinematic errors and contact conditions of the crowned and uncrowned helical gear pair. The mathematical models and analysis methods proposed for the crowned imaginary rack cutter using variable modulus should be useful for the design and production of double crowned helical gears with asymmetric parabolic teeth.

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Research on Dynamic Model of Double Helical Gear Pair Based on TCA and LTCA

10.20855/ijav.2019.24.31302 ◽

2019 ◽

Vol 24 (3) ◽

pp. 476-484 ◽

Cited By ~ 1

Author(s):

Cheng Wang ◽

Shouren Wang ◽

Gaoqi Wang

Keyword(s):

Friction Coefficient ◽

Dynamic Model ◽

Dynamic Models ◽

Sliding Friction ◽

Helical Gear ◽

Tooth Surface ◽

Gear Pair ◽

Axial Vibration ◽

Sliding Friction Coefficient ◽

Helical Gear Pair

Numerous dynamic models of spur gears, helical gears, bevel gears, and face gears can be found in various studies. However, studies that focus on the dynamic model of a double helical gear pair are quite limited. The author proposed a model of a double helical gear pair by only considering the axial vibration. The author did not consider the friction and multiple backlashes in the proposed model. The friction force of the tooth surface and backlash are important factors that can cause complex non-linear phenomena in gear pairs. Therefore, a dynamic model of a double helical gear pair that takes into consideration the axial vibration, friction and multiple backlashes is proposed. Firstly, based on the tooth contact analysis (TCA) of a double helical gear pair, the path of contact and meshing time from engagement to disengagement are obtained. The formula for determining the sliding friction coefficient is introduced. Based on TCA and the dynamic meshing force provided by the subsequent dynamics model of double helical gear pair, the sliding friction coefficient of the tooth surface is calculated. Secondly, the stiffness excitation, gear-into impact excitation and error excitation (including the axial displacement caused by the errors of manufacture and installation under low speed) are calculated according to the existing research results. Following this, a dynamic model of a double helical gear pair that takes into consideration the axial vibration, friction and multiple backlashes is both built and solved. Finally, an example is presented to verify the corresponding results.

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