Deflection of Spur Gear Teeth Cut in Thin Rims

Attia, A. Y.

doi:10.1115/1.3670554

Cited by 39 publications

(15 citation statements)

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“…The wedge, moving at a velocity V, represents a positive pitch error of size e. Attia published the result of experimental work which used strain gages to record the deflections of gear teeth and the maximum instantaneous tooth loading as the gear teeth passed through the zone of contact at various speeds and static loads. 13 His results showed differences from the predictions 0° both Buckingham and Tuplin. In 195^, Reswick presented a more sophisticated analysis procedure for determining dynamic loading.…”

Section: Gear Dynamic Jjoadingmentioning

confidence: 44%

Investigation of Gear Dynamics Signal Analysis

Drosjack¹,

Houser²,

Tinney³

1975

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Section: Gear Dynamic Jjoadingmentioning

confidence: 44%

Investigation of Gear Dynamics Signal Analysis

Drosjack¹,

Houser²,

Tinney³

1975

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“…The deflection induced by a gear body is also called tooth fillet/foundation deflection [1]. Weber [12], Attia [13], Cornell [14], and Sainsot and Velex [1] developed analytical formulas to calculate the gear body-induced tooth deflections. Their analytical formulas all have the same format as Equation (1) but with different L, M, P, and Q values.…”

Section: Introductionmentioning

confidence: 99%

A Detailed Investigation of Gear Body-Induced Tooth Deflections and Development of an Improved Analytical Solution

et al. 2020

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Many researchers have developed analytical methods to evaluate gear meshing stiffness. Some of these methods ignored the effect of the gear body while others used a simplified model to consider its effect. Until now, a detailed investigation of gear body-induced tooth deflections has been rare, especially for the double-tooth-pair meshing period. In this study, we present a detailed investigation of gear body-induced tooth deflections. To be specific, we will discuss how to accurately evaluate gear body-induced tooth deflections using the finite element analysis, and what are the effect of parameters such as loading and gear parameters on gear body-induced tooth deflections. Then, an improved solution is developed for evaluating the body-induced tooth deflection. In the single-tooth-pair meshing period, the improved formula is developed based on a popular formula proposed by Sainsot and Velex. This is achieved by optimizing the coefficients used in their formula to make the formula more accurate to evaluate gear body-induced tooth deflections. Meanwhile, we introduce a new term called affiliated body stiffness to evaluate the body-induced tooth deflections in the double-tooth-pair meshing period. The improved method can give higher accuracy in evaluating gear body-induced tooth deflections of spur gears with a pressure angle of 20°.

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“…Meanwhile, AM provides a general approach to evaluate mesh stiffness with satisfactory results [1]. The elastic deformation method has been introduced previously and has been used in other related studies [1,[22][23][24]. The potential energy method, a typical analytical method initially proposed by Yang and Lin, has been used to calculate the mesh stiffness of a pair of externalexternal spur gears [25].…”

Section: Introductionmentioning

confidence: 99%

Study of the Influences of Transient Crack Propagation in a Pinion on Time-Varying Mesh Stiffness

Fan

2016

Shock and Vibration

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Cracks in a cracked gear may further propagate by a tiny length in a very short time for several reasons, such as material fatigue and load fluctuations. In this paper, this dynamic process is defined as transient propagation of cracks. This research aims to calculate the time-varying mesh stiffness of gears when transient propagation of cracks arises, which has not been extensively studied in existing literatures. The transient propagation of cracks is modelled. An improved potential energy method is proposed by incorporating the propagation model into the potential energy method. The improved method can also be utilised to calculate the mesh stiffness of gears when transient propagation of cracks arises. Different transient propagation models are considered to simulate the propagation of cracks in a short amount of time. Different deterioration levels of cracks before transient propagation and different lengths and models of transient propagation are also examined. The variation rules of mesh stiffness caused by the transient propagation of cracks are summarised. The influence of the deterioration level of cracks on mesh stiffness variation when transient propagation arises is obtained. Simulation results show that the proposed method accurately calculates time-varying mesh stiffness when transient propagation of cracks arises. Furthermore, the method improves the monitoring of further propagation of cracks in gears from the perspective of time-varying mesh stiffness.

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Deflection of Spur Gear Teeth Cut in Thin Rims

Abstract: In this paper, the complex problem of deflection of loaded spur teeth cut in thin rims is studied.Tooth-deflection curves, modified for the effect of elasticity of the gear, and rim stiffness factors are introduced.

Cited by 39 publications

References 1 publication

Investigation of Gear Dynamics Signal Analysis

Investigation of Gear Dynamics Signal Analysis

A Detailed Investigation of Gear Body-Induced Tooth Deflections and Development of an Improved Analytical Solution

Study of the Influences of Transient Crack Propagation in a Pinion on Time-Varying Mesh Stiffness

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