Thermal-tribodynamic analysis of spur gear pair using correction factors
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Date
2025-07-07
Authors
Γαρμπής, Διονύσιος
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Abstract
The aim of this thesis is to study produced vibrations in a pair of spur gears considering rough anisotropic tooth surfaces, use of lubricant and temperature effects on it from heat created by friction. A thermal-tribodynamic model was developed, consisting of two sub-models for calculating the system response and modeling the contact between the meshing gears teeth, as a part of the meshing stiffness. The contact model is utilized to calculate the contact stiffness and the produced friction between gear teeth. To determine the required contact parameters, the model relies on work done by previous researchers on EHL line contacts. To avoid solving the complex Reynolds equation, the load sharing method of (Gelinck & Schipper, 2000), was used in tandem with the statistical model for rough surface contacts of (JOHNSON, GREENWOOD, & POON, 1971) and gear tooth kinematic equations from (Wang & Cheng, 1980). To accommodate for anisotropic surfaces, non-Newtonian lubricant behavior and heat generation, correction factors for each were employed. After calculating the meshing stiffness for the single and double teeth meshing periods. The dynamic response is determined by solving the equations of motion represented in state-space and numerically solved with the fourth-order Runge-Kutta method. This model includes the equations of motion for each gear along with their respective shafts. The elasticities of the contact between the meshing gear teeth, shafts, and bearings are modeled as forces from equivalent torsional and compression springs. The effect of various rotating speeds, loading torque, gear ratio, surface roughness, use of different lubricants, surface anisotropy coefficients and oil bath temperature on both sub-models was also evaluated.
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Keywords
Spur gears, Tribodynamic model, Load sharing, Correction factors, Non newtonian lubricants