Dynamic modeling of gearbox faults: A review

Improved analytical calculation model of spur gear mesh excitations with tooth profile deviations

https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1015&context=meep_articles

Gear tooth mesh stiffness: A comparison of calculation approaches

Modeling and analysis of a spur gear pair considering multi-state mesh with time-varying parameters and backlash

Three new models for evaluation of standard involute spur gear mesh stiffness

Dynamic tooth root strains and experimental correlations in spur gear pairs

This work develops a hybrid analytical-computational (HAC) method for nonlinear dynamic response in spur gear pairs. The formulation adopts a contact model developed in (Eritenel, T., and Parker, R. G., 2013, “Nonlinear Vibration of Gears With Tooth Surface Modifications,” ASME J. Vib. Acoust., 135(5), p. 051005) where the dynamic force at the mating gear teeth is determined from precalculated static results based on the instantaneous mesh deflection and position in the mesh cycle. The HAC method merges this calculation of the contact force based on an underlying finite element static analysis into a numerical integration of an analytical vibration model. The gear translational and rotational vibrations are calculated from a lumped-parameter analytical model where the crucial dynamic mesh force is calculated using a force-deflection function (FDF) that is generated from a series of static finite element analyses performed before the dynamic calculations. Incomplete tooth contact and partial contact loss are captured by the static finite element analyses and included in the FDF, as are tooth modifications. In contrast to typical lumped-parameter models elastic deformations of the gear teeth, including the tooth root strains and contact stresses, are calculated. Accelerating gears and transient situations can be analyzed. Comparisons with finite element calculations and available experiments validate the HAC model in predicting the dynamic response of spur gear pairs, including for resonant gear speeds when high amplitude vibrations are excited and contact loss occurs. The HAC model is five orders of magnitude faster than the underlying finite element code with almost no loss of accuracy.

An Efficient Hybrid Analytical-Computational Method for Nonlinear Vibration of Spur Gear Pairs

Techniques for the calculation of gear pair mesh stiffness

Spur gear tooth root strains are calculated using a finite element/contact mechanics formulation for varying gear speeds and applied torques. Extensive comparisons with experiments, including those from the literature and new ones, confirm that the finite element/contact mechanics formulation accurately predicts the quasi-static and dynamic tooth root strains. The finite element/contact mechanics model is used to investigate the features of the tooth root strain curves as the gears rotate kinematically and the tooth contact conditions change. Tooth profile modifications are shown to strongly affect the shape of the strain curve. At non-resonant speeds the dynamic tooth root strain curves have similar shapes as the quasi-static strain curves. At resonant speeds, however, the dynamic tooth root strain curves are drastically different because large amplitude vibration causes tooth contact loss.Copyright © 2015 by ASME

Xiang Dai

Papers

Gear tooth mesh stiffness: A comparison of calculation approaches

Dynamic tooth root strains and experimental correlations in spur gear pairs

An Efficient Hybrid Analytical-Computational Method for Nonlinear Vibration of Spur Gear Pairs

Techniques for the calculation of gear pair mesh stiffness

Prediction and Experimental Correlation of Tooth Root Strains in Spur Gear Pairs