A semi-analytical load distribution model for side-fit involute splines

Hong, J. K.; Talbot, David; Kahraman, Ahmet

doi:10.1016/j.mechmachtheory.2014.02.002

Cited by 39 publications

(68 citation statements)

References 26 publications

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“…The radial force from the spur gear loading causes a circumferential variation in the overall load distribution (Hong et al, 2014b). As such, the root stress experienced by a single spline tooth is expected to vary significantly based on the relative angular position of that spline tooth with respect to the angular position of the gear mesh interface.…”

Section: Spur Gear Loadingmentioning

confidence: 99%

“…Similar to spur gear loading, the radial force causes a circumferential variation in the overall load distribution. Unlike spur gear loading, however, an overturning moment results in variations both along the face width direction and the circumferential direction (Hong et al, 2014b). As such, the root stress experienced by a single spline tooth over one rotation under helical gear loading is expected to vary drastically along both the circumferential and face width directions.…”

Section: Helical Gear Loadingmentioning

confidence: 99%

“…Wink and Nakandakar (2014) also proposed an analytical model that allowed radial loads produced by spur gear loading on the load distribution of spline teeth. Building on the results of their earlier FE study, Hong et al Benatar, Talbot and Kahraman, Journal of Advanced Mechanical Design, Systems, and Manufacturing, Vol.11, No.6 (2017) (2014b, 2015a, 2015b) published a family of semi-analytical models which both reduced the computational time immensely and surpassed the capabilities of the previous models which were mostly limited to purely torsional loading. These models captured the impact of loading type (purely torsional, spur, or helical gear loading) on the resultant load distribution of the joint for clearance-fit (Hong, et al, 2014a) as well as major and minor diameter-fit splines (Hong, et al, 2015a).…”

Section: Introductionmentioning

confidence: 99%

“…Specifically, spline root stress measurements will be performed as a function of circumferential and face width positions of the spline teeth. Simulations of the tested clearance-fit splined joint will be performed using the model of Hong et al (2014b) to provide a direct comparison to the experimental results to aid in describing the experiments and, in the process, to assess the fidelity of the model.…”

Section: Introductionmentioning

confidence: 99%

“…A nonlinear relationship between torque applied and resultant stress is revealed, as well as the relationship between the location of maximum stress along the face width and the amount of lead crown modification applied. Lastly, simulation results from the model of Hong et al (2014b) are compared to the experimental data under spur and helical gear loading conditions to assess the premise of such models. …”

mentioning

confidence: 99%

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An experimental investigation of the load distribution of splined joints under gear loading conditions

Benatar

Talbot²,

Kahraman³

2017

JAMDSM

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Splined joints are commonly used to transmit rotary motion from a shaft to machine elements such as gears. While computationally efficient spline load distribution models have recently been proposed, there is no validated load distribution model of a splined joint due to lack of high-fidelity experimental data. Accordingly, this study aims to establish an extensive experimental database on load distributions of splined joints subject to both spur and helical gear loading conditions. A quasi-static, spline-specific test setup is developed and instrumented. A test matrix covering various loading conditions is executed in order to form a spline load distribution database. The experimental data illustrates the cyclic nature of loads and resultant stresses on spline teeth caused by rotation of the spline teeth in relation to the gear mesh that loads the splined joint. A nonlinear relationship between torque applied and resultant stress is revealed, as well as the relationship between the location of maximum stress along the face width and the amount of lead crown modification applied. Lastly, simulation results from the model of Hong et al. (2014b) are compared to the experimental data under spur and helical gear loading conditions to assess the premise of such models.

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Section: Spur Gear Loadingmentioning

confidence: 99%

Section: Helical Gear Loadingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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An experimental investigation of the load distribution of splined joints under gear loading conditions

Benatar

Talbot²,

Kahraman³

2017

JAMDSM

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Stiffness modeling of machine tools based on machining space analysis

Gao

Hong

et al. 2016

Int J Adv Manuf Technol

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Fast tooth deflection calculation method and its validation

Hochrein

Otto

Stahl

2022

Forsch Ingenieurwes

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For the development of high power density gearboxes the knowledge of the gear mesh behavior is important. Especially, the tooth deflection influences flank load distribution and is the basis for the design of flank modifications. Analytical and numerical approaches are suitable to evaluate the behavior. Since numerical methods are complex, elaborate and time-consuming, fast and accurate analytical methods are still important and are worth to be further developed and assessed.An analytical method for calculating tooth deformation for gears goes back to Weber and Banaschek from 1953. In the initial work the final equations are given without many intermediate steps in the plane strain assumption for materials with Poisson’s ratio ν = 0.3. This paper derives the tooth deflection equations in a more detailed and general manner for any linear material. The final equations are valid for the plane stress and plane strain state in one new closed representation and are therefore suitable for an efficient implementation. While the plane strain state is typical for gears, the plane stress state is significant for a thin slice model or special gearings. The presented method captures the shear influence with a more detailed calculation of the shear correction factor.A calculation study validates the results from the derived analytical tooth deflection calculation method with a plane Finite Element Model. In the study the point of application of force and the gear body are varied to cover the influence of different variants (size and mesh position). Finally limits of the analytical modeling and the validation are discussed.

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A semi-analytical load distribution model for side-fit involute splines

Cited by 39 publications

References 26 publications

An experimental investigation of the load distribution of splined joints under gear loading conditions

An experimental investigation of the load distribution of splined joints under gear loading conditions

Stiffness modeling of machine tools based on machining space analysis

Fast tooth deflection calculation method and its validation

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