Modular hybrid models to simulate the static and dynamic behaviour of high-speed thin-rimmed gears

Guilbert, Bérengère; Velex, Philippe; Dureisseix, David; Philippe, Cutuli

doi:10.1016/j.jsv.2018.09.003

Cited by 26 publications

(11 citation statements)

References 25 publications

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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%

See 1 more Smart Citation

Classifying, Predicting, and Reducing Strategies of the Mesh Excitations of Gear Whine Noise: A Survey

Sun

Liu

et al. 2020

Shock and Vibration

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Gear whine noise has attracted increasing attention from researchers in both the academe and the industry over the past two decades. The wide range of research topics demonstrates that there is a huge technical challenge in understanding the source-path-receiver mechanisms deeply and predicting the gear whine noise precisely. Thoroughly understanding the sources of gear whine noise is the first step to solving this issue. In this paper, the authors summarize a certain number of published articles regarding the sources of gear whine noise. The excitations of gear whine noise are classified into three groups: transmission error along the line of action direction, frictional excitations along the off-line of action direction, and shuttling excitation along the axial direction. The mechanisms, characteristics, predicting approaches, measuring methods, and decreasing strategies for these excitations are summarized. Current research characteristics and future research recommendations are presented at the end.

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Section: Lightweight Gearsmentioning

confidence: 99%

“…Only continuous flexible models can capture the particular dynamic properties of lightweight gears. Guilbert et al [227] developed a mortar-based methodology that can connect 1D grids and 3D finite elements. Based on this approach, thin-rimmed gears can be precisely modelled in dynamic models.…”

Section: Shock and Vibrationmentioning

confidence: 99%

Classifying, Predicting, and Reducing Strategies of the Mesh Excitations of Gear Whine Noise: A Survey

Sun

Liu

et al. 2020

Shock and Vibration

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“…For the sake of conciseness, only the main modelling principles are presented in this section while the complete technical details can be found in Guilbert et al. 29 The hybrid model in Figure 1 combines lumped parameters and 3D finite elements. The pinion and mesh interface are simulated using the method of Velex and Maatar, 3 whereas the deformable gear body is accounted for by a substructure 30 derived from a full 3D finite element model with brick elements condensed at its rim and bearing nodes.…”

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%

Quasi-static and dynamic analyses of thin-webbed high-speed gears: Centrifugal effect influence

Guilbert

Velex

Philippe³

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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The objective of this paper is to analyse the effect of centrifugal effects on thin-rimmed/-webbed gears. To this end, an original hybrid gear model is used, which combines lumped parameter elements, finite elements and condensed sub-structures along with a mortar-based mesh interface aiming at coupling mismatched models. It is shown that due to gear body flexibility, centrifugal effects can strongly modify geometry and, consequently, tooth load distributions at high speeds. The possibility to counterbalance these effects by introducing profile and lead modification is investigated. It is finally shown that for the effective tooth design, both thin-rimmed gear geometry and operating conditions must be accounted for.

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“…Other possibility for the determination of the single stiffness is the FE simulations and hybrid methods of FEM and analytical solutions which can be divided into three main groups. These are dynamic [20][21][22][23], quasi-dynamic [24] and quasi-static [25][26][27] simulations. Depending on the purpose of the tests, both two-dimensional and three-dimensional models can be used; see e.g., the works [21,22].…”

Section: Introductionmentioning

confidence: 99%

Analytical and FE Determination of the Change of Single Stiffness for Cylindrical Gears with External Involute Teeth

Debreczeni

Bognár

2020

Period. Polytech. Mech. Eng.

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The calculation of mesh stiffness with required accuracy is essential for determining the contact characteristics of gear pairs. The easiest approximation of the relative stiffness for the basic profile geometries is the so-called single stiffness. Standardized and analytical methods for the determination of the single and mesh stiffness of gears are used to achieve design goals considering the load capacity and the vibration excitation characteristics. Such methods involve the formulas of ISO 6336-1:2006 based on experimental relationships and the equations of Weber and Banaschek based on mechanical calculations. In this paper, guidelines are given to refine the analytical calculations. Our goal is to present the impact of the change of the applied pressure angle, module, load, rim thickness and tooth number on the maximal single stiffness. The profile geometry of the gears is generated with our program in MATLAB. The profile of gears is calculated by the tool geometry and the kinematics of production. The geometry is imported into Abaqus. The sensitivity of the models to different parameters is examined and compared to those obtained by analytical calculations. The benchmarks for the single stiffness are the two most widely used analytical calculation methods in Europe such as ISO 6336-1:2006 formulas and Weber and Banaschek equations.

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Modular hybrid models to simulate the static and dynamic behaviour of high-speed thin-rimmed gears

Cited by 26 publications

References 25 publications

Classifying, Predicting, and Reducing Strategies of the Mesh Excitations of Gear Whine Noise: A Survey

Classifying, Predicting, and Reducing Strategies of the Mesh Excitations of Gear Whine Noise: A Survey

Quasi-static and dynamic analyses of thin-webbed high-speed gears: Centrifugal effect influence

Analytical and FE Determination of the Change of Single Stiffness for Cylindrical Gears with External Involute Teeth

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