Stiffness matrix calculation of rolling element bearings using a finite element/contact mechanics model

Gearbox Reliability Collaborative Analytic Formulation for the Evaluation of Spline Couplings

“…FE analysis calculates far-field elastic deformations starting a small distance away from the contact area. Matching of the contact deflections and FE solutions at the matching surface yields a combined contact solution for near-field surface deformations [24,25]. This FE model calculates tooth load share, load distribution, tooth deformation, contact stiffness, and contact stress.…”

An extensive review of vibration modelling of rolling element bearings with localised and extended defects

“…However, from the review of the literature 289 conducted during the course of this paper, it appears that the first nonlinear multi-body dynamic model 290 for predicting the vibration response of a rolling element bearing (in a bearing-pedestal system), due to 291 a localised (point) defect, was reported in 2002 by Feng et al [53]. Their model was an extension to the 292 model developed by Fukata et al [40] that describes the vibration response of an ideal (non-defective) ball 293 bearing. Fukata et al [40] modelled a rotor-bearing system as a simplified 2-DOF system; while the outer 294 ring was modelled to be stationary, the inner ring was assumed to translationally move in the radial plane 295 (of the model) with two degrees of freedom (global Cartesian x-and y-directions).…”

“…For the case of non-defective rolling element bearings, a number of researchers [281][282][283][284][285][286][287][288][289][290][291][292][293][294][295][296][297] have conducted 570 FE modelling studies using the aforementioned software packages to investigate the following static pa-571 rameters -stresses at the rolling element-to-raceway contact interfaces, rolling element-to-raceway contact 572 forces, load-deflection relationships, load carrying capacity of rolling elements, stiffness matrix calculation, 573 and fatigue life. As the models in references [281][282][283][284][285][286][287][288][289][290][291][292][293][294][295][296][297] do not include a defect within the bearing models, 574 they are not directly relevant to the current paper, and therefore, are not reviewed here.…”

“…As for the case of implicit models [281][282][283][284][285][286][287][288][289][290][291][292][293][294][295][296][297], explicit FE models for non-defective rolling element bearings 596 have also been developed [300][301][302][303]. These models simulate deep-groove ball bearings, and compare the 597 numerically estimated stress distribution results, obtained using LS-DYNA [298], at the rolling element-to-598 raceway contact interfaces, with the analytical results obtained using the classical Hertz theory of elasticity 599 [134][135][136].…”

Influence of the Number of Rollers on a Tapered Roller Bearing

“…Yamashita et al [6] have done an analysis of the elastohydrodymanic fluid film thickness in TRB (tapered roller bearings), and Venner et al [7] showed the film thickness decay in elastohydrodynamically lubricated contacts. Guo and Parker [8] proposed a method to obtain the accurate Corresponding author: Alexandre da Silva Scari, M.Sc., mechanical engineer, research fields: structural and mechanical analysis, finite elements, elasticity and plasticity, and mechanical behavior of materials. E-mail: alexandrescari@gmail.com.…”