2016
DOI: 10.1115/1.4034220
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A Mortar-Based Mesh Interface for Hybrid Finite-Element/Lumped-Parameter Gear Dynamic Models—Applications to Thin-Rimmed Geared Systems

Abstract: An original hybrid gear model is introduced, which combines lumped parameter and finite elements along with a specific interface aimed at coupling mismatched discrete models. A mortar-based interface is presented, which eliminates the numerical errors induced by direct collocations between the tooth contact and gear body models. It is shown that the proposed interface can capture the instant contact conditions in the profile and lead directions for both spur and helical gears. A number of quasi-static and dyna… Show more

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Cited by 21 publications
(15 citation statements)
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“…However, as described by Shweiki et al [224], the peak-topeak magnitude of the static TE and the magnitude of dynamic TE for the lightweight gears are larger than that of solid ones. e modelling strategies of the thin-rimmed gears and lightweight gears with holes are complicated than common solid gears as described by Guilbert et al [226,227]…”
Section: Lightweight Gearsmentioning
confidence: 99%
“…However, as described by Shweiki et al [224], the peak-topeak magnitude of the static TE and the magnitude of dynamic TE for the lightweight gears are larger than that of solid ones. e modelling strategies of the thin-rimmed gears and lightweight gears with holes are complicated than common solid gears as described by Guilbert et al [226,227]…”
Section: Lightweight Gearsmentioning
confidence: 99%
“…The direct collocation of the discrete foundation stiffness elements with the gear continuous FE models would induce numerical spikes on tooth load distributions since the two models are not compatible. 31 In order to avoid such numerical flaws, a mortar-based interface has been added to smoothen the transition between the discretised contact lines and the sub-structure degrees of freedom. Details about the theory and implementation can be found in literature.…”
Section: Dynamic Hybrid Models – Basic Principlesmentioning
confidence: 99%
“…Details about the theory and implementation can be found in literature. 29,31 The corresponding modified equations are where V*(Mij)T is the modified structural vector at contact point Mij …”
Section: Dynamic Hybrid Models – Basic Principlesmentioning
confidence: 99%
“…Meng Peng [14] and Hu [15] studied the dynamic behaviours of face gear drives. And for the gear transmission with flexible gear bodies, many types of models have been established: shaft element model [16,17], 3D finite element model [17][18][19][20][21], and segment model [22][23][24].…”
Section: Introductionmentioning
confidence: 99%