Convergence and accuracy problems of the conventional TCA model – Critical analysis and novel solution for crowned spur gears

Temirkhan, Maksat; Amrin, Andas; Spitas, Vasilios; Spitas, Christos

doi:10.1177/09544062231181834

Cited by 10 publications

(2 citation statements)

References 20 publications

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“…When the starting "guess" values are not sufficiently close to the actual solution the conventional model suffers from the convergence problems. Temirkhan et al 31 propose a novel quasi-static model of the three-dimensional geometrical non-conjugate contact problem for two surfaces and use a new parameterization that enables to reduce the conventional system of five nonlinear equations to just two nonlinear equations with two changeable parameters. which is helpful for modeling and solving contact points of the face gear pair.…”

Section: Discussionmentioning

confidence: 99%

Modeling and analysis of elastohydrodynamic lubrication of orthogonal face gear with installation errors

Zhou,

Zhu,

Liu

et al. 2024

Proceedings of the Institution of Mechanical Engineers, Part J:

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Installation error is one of the most prominent factors affecting the lubrication of face gear. To analyze the lubrication performance of the face gear with installation errors, the installation error model of the orthogonal face gear transmission system is established. Then, the contact path, equivalent curvature radius, load distribution and entrainment velocity are studied using the face gear loaded tooth contact analysis (LTCA). On this basis, the lubrication governing equations of the face gear are established according to the elastohydrodynamic lubrication (EHL) theory. In addition, the oil film thickness, oil film pressure and coefficient of friction in the process of face gear drives are calculated using the method of progressive mesh densification (PMD). Finally, the effects of axis intersection angle error, axis intersection error and axial displacement error on lubrication characteristics are analyzed. The results reveal that when the axial intersection angle error and axial displacement error are negative and the axial intersection error is positive, the minimum oil film thickness of the face gear tooth surface is less than that without error. When the error values are the same, the minimum oil film thickness and coefficient of friction have larger changes with the axial displacement error than with the axis intersection error, and the contact path has a bigger movement range.

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Section: Discussionmentioning

confidence: 99%

Modeling and analysis of elastohydrodynamic lubrication of orthogonal face gear with installation errors

Zhou,

Zhu,

Liu

et al. 2024

Proceedings of the Institution of Mechanical Engineers, Part J:

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“…Wang and Zhu [21] proposed a model to obtain the mesh stiffness of helical gears under actual lubrication conditions. Recently, Temirkhan et al [22] presented a quasi-static model for the three-dimensional geometrical non-conjugate contact problem and implemented this model in the crowned teeth in a spur gear in order to estimate the susceptibility to diverse misalignments of the path of contact, transmission error, and contact pressure. Regarding green tribology, which is a relatively new field of tribology, Anand et al [23] presented an interesting review on the role of this field in the sustainability of mechanical systems.…”

Section: Introductionmentioning

confidence: 99%

An Investigation on the Teeth Crowning Effects on the Transient EHL Performance of Large-Scale Wind Turbine Spur Gears

Jamali,

Aljibori,

Jweeg

et al. 2023

Lubricants

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Crowning is applied to wind turbine gears, including spur gears, to ensure adequate stress distribution and contact localization in wind turbine main gearbox gears to improve the gear performance in the presence of misalignments. Each gear tooth is crowned along the face width using a parabolic curve that graduates from a maximum height at the edges and vanishes at the center of the tooth flank. This crowning transfers the elastohydrodynamic contact problem from a line to a point contact case where the surface curvatures and pressure gradient are considered in both directions of the solution space. A wide range of longitudinal crowning heights is considered in this analysis under heavily loaded teeth for typical large-scale wind turbine gears. Furthermore, the variation in the velocities is considered in the analysis. The full transient elastohydrodynamic point contact solution considers the non-Newtonian oil behavior, where the numerical solution is based on the finite difference method. This work is focused on the evaluation of the effectiveness of teeth’s longitudinal crowning in terms of the consequences on the resulting pressure distribution and the corresponding film thickness. The modification of the tooth flank significantly elevates the film thickness levels over the zones close to the tooth edges without a significant increase in the pressure values. Moreover, the zone close to the tooth edges from both sides, where the pressure is expected to drop to the ambient pressure, is extended as a result of the flank modification.

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Parametric design of straight bevel gears based on a new tooth contact analysis model

Temirkhan,

Tariq,

Spitas

et al. 2023

Arch Appl Mech

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Convergence and accuracy problems of the conventional TCA model – Critical analysis and novel solution for crowned spur gears

Cited by 10 publications

References 20 publications

Modeling and analysis of elastohydrodynamic lubrication of orthogonal face gear with installation errors

Modeling and analysis of elastohydrodynamic lubrication of orthogonal face gear with installation errors

An Investigation on the Teeth Crowning Effects on the Transient EHL Performance of Large-Scale Wind Turbine Spur Gears

Parametric design of straight bevel gears based on a new tooth contact analysis model

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