Design of Worm Gears With Optimal Geometric Parameters Based on Minimization of Losses in Gearing

Tkach, Pavlo; Носко, Павло Леонідович; Boyko, Grygory; Башта, Олександр Васильович; Bashta, Alla

doi:10.18372/0370-2197.1(78).12761

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“…The current state of research on gear trains can be said to be evolving in several directions. One of them is development of the geometry of new gearings based on the classic geometric and kinematic theories of gearing developed by, for instance, Bolotovskiy, 1974 [6] and Litvin, 1968 [27]- [29] and expanded by, for instance, Shishov, 2001 [37], Karpov, 2017 [24], Tkach, 2018 [43,44] and Franulovic et al, 2017 [18]. Besides, Hlebanja, 2012 [20] proposed an alternative S-gear tooth geometry, which improves the contact circumstances by lowering the contact pressure, which consequently enables the thickening of the oil film, diminishes the amount of sliding and thus lowers friction.…”

Section: Introductionmentioning

confidence: 99%

Determination of Hydrodynamic Power Losses in a Gearing

Stavytskyi

Башта

Носко

et al. 2022

Acta Mechanica Et Automatica

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Despite the relatively numerous experimental studies, there are few published works on the topic of development of mathematical models that describe the hydrodynamic processes in gears. There is no generic analytical model that integrates all types of losses. The purpose of this work is to develop a modern generalised methodology for calculating the hydrodynamic power losses of high-speed gears. For each gear, partially or fully immersed into an oil bath, the power spent to overcome the hydromechanical resistance can be represented as the sum of the following: the Coriolis force moment arising from the radial movement of the oil in the tooth spaces of the rotating gear, the viscous friction forces moment on the periphery of the gear addendums in the oil bath and the viscous friction forces moment at the face of the gear in the oil bath. The hydrodynamic power losses due to the Coriolis force action, viscosity friction losses at the periphery of the gear and the viscosity friction at the face of the gear (both turbulent and laminar modes) were observed separately. From the mathematical simulation of the rotation processes when the gear is immersed into the oil bath, an analytical dependence was obtained. It allows predicting the influence of the geometrical parameters of the gearing on the hydrodynamic power losses. Analysis of the calculation results of the power losses due to the action of hydraulic resistance forces and results from experimental studies is provided for several gears with different hydromechanical parameters. The proposed method of calculating power loss due to hydromechanical resistance of the oil bath to the rotation of the gear gave results that were close to the experimental data. Acceptable coincidence of theoretical and experimental results allows recommending the received analytical dependencies for practical calculations of high-speed gears.

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