NVH robust optimization of gear macro and microgeometries using an efficient tooth contact model

Garambois, Pierre‐André; Perret-Liaudet, Joël; Rigaud, Emmanuel

doi:10.1016/j.mechmachtheory.2017.07.008

Cited by 34 publications

(18 citation statements)

References 33 publications

(26 reference statements)

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“…Hence, only the compliance of the gear wheel is taken into account. It is calculated from a thick plate model using a Reissner-Mindlin theory [20] where the variable thickness ℎ( ) of the plate corresponds to the tooth thickness [21]. The Hertz deformation is also added in the compliance For each of the successive positions of the driving wheel, the mesh stiffness ( ) is defined as the derivative of the transmitted load relative to STE:…”

Section: Static Transmission Error Ste(t) and Mesh Stiffness Fluctuatmentioning

confidence: 99%

Numerical and experimental analysis of the vibroacoustic behavior of an electric window-lift gear motor

Rigaud

Cornuault

Bazin³

et al. 2018

Arch Appl Mech

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This paper focuses on the numerical analysis of the vibroacoustic behavior of an electric window-lift gear motor for automotive vehicle which consists of a DC motor and a worm gear. A dynamic modelling of the gear motor is proposed. The excitation sources correspond to radial electromagnetic forces applied to steel stator, electromagnetic input torque fluctuation, rotor mechanical imbalance, worm gear static transmission error and mesh stiffness fluctuations and gear wheel eccentricity. Parametric equations of motion are solved using an iterative spectral method. It allows the computing of the vibroacoustic response of the system, taking account of the interaction between the mesh stiffness fluctuation and the other excitations. The simulation results are validated from comparison with experimental vibroacoustic measurements performed with a specific test bench. Spectrograms of the dynamic response show components corresponding to the harmonics of the excitation spectra, as well as lateral components arising around the mesh frequency and the input torque fluctuation frequency. This spectral enrichment is generated by the interaction between the mesh stiffness fluctuation and the other excitations. The lateral components contribute little to the overall level of the vibroacoustic response but they may have a significant impact on the quality of noise radiated directly by the gear motor or indirectly by its supporting structure. Finally, the weights of the different excitation sources to the spatial-average mean-square velocity of the radiating surface and the equivalent global dynamic force transmitted to the supporting structure are compared.

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Section: Static Transmission Error Ste(t) and Mesh Stiffness Fluctuatmentioning

confidence: 99%

Numerical and experimental analysis of the vibroacoustic behavior of an electric window-lift gear motor

Rigaud

Cornuault

Bazin³

et al. 2018

Arch Appl Mech

Self Cite

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“…The second reason concerns the coupling between the global behaviour of the whole transmission and the local behaviour at the gear mesh [20]. As a first necessary step, many studies focus on the optimization of gear macro and micro-geometries to reduce unintended vibroacoustic phenomena [3,11,22,23,35,39] but noise reduction remains a challenge. The accurate estimation of the STE is still a major task for the NVH prediction of geared transmissions.…”

Section: Introductionmentioning

confidence: 99%

“…The contact lines are assumed to be located in the theoretical action plane and the gear static equilibrium is then modelled by separating the gear compliance and the local contact equations along the contact lines [24,1,2,30]. Thus, the gear tooth compliance is preliminarily computed by a finite element analysis or by some alternative analytical tooth bending models using for example Ritz-Galerkin interpolation [11]. Generally, the nonlinear hertzian-like deformation is independently introduced either with an exact or approximate formulation.…”

Section: Introductionmentioning

confidence: 99%

On a flexible multibody modelling approach using FE-based contact formulation for describing gear transmission error

Benaïcha

Perret-Liaudet

Beley

et al. 2022

Mechanism and Machine Theory

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This paper provides an insight into the efficiency and accuracy of a multibody approach to model gear transmission error. The multibody model is based on an augmented Lagrangian contact formulation considering a surface-to-surface contact detection. The case of spur and helical gears transmitting power between parallel shafts is considered. The static transmission error is computed without any assumptions about the contact lines positions and orientations. Tooth and wheel body flexibility and tooth profile deviations are taken into account. The main objective of this study is to evaluate the efficiency and possibilities of the proposed methodology. To this end, the static transmission error is benchmarked against the results obtained from a classical approach which is based on the computation of the equation describing the static equilibrium of the gear pair for a set of successive positions of the driving wheel.

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“…For example, Mao 11 introduced an accurate method for estimating STE in powertrain transmission systems through an accurate gear contact analysis. The analytical method 1,[14][15][16][17][18] has the advantages of fast calculation speed and good accuracy, but its application range is narrow. For example, analytical method is used in the literature 1 to calculate timevarying mesh stiffness.…”

Section: Introductionmentioning

confidence: 99%

Effects of lightweight gear blank on noise, vibration and harshness for electric drive system in electric vehicles

Hou

Lei

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part K:

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In this paper, effects of lightweight gear blank on static and dynamic behavior for electric drive system in electric vehicles are studied. First, a hybrid finite element-analytical method is proposed in this paper to establish gear load contact analysis model considering the structure of lightweight gear blank, which can balance the computing speed and numerical accuracy. Second, this paper establishes a rigid-flexible coupled dynamic model of electric drive system considering shaft elasticity, bearing stiffness, and housing flexibility. Finally, aiming at the noise, vibration, and harshness problem of an electric drive system equipped on electric vehicles, effects of gear web and gear rim thickness on noise, vibration, and harshness excitation source such as static transmission error and dynamic meshing force as well as dynamic response at bearings and housing are analyzed. The results show that changing gear web and gear rim thickness can significantly reduce dynamic meshing force and dynamic response. Compared with solid gear, dynamic meshing force is reduced by 68.50%, and dynamic response is reduced by 66.70% after optimization, thereby significantly improving the noise, vibration, and harshness performance of gear transmission system in electric vehicles.

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NVH robust optimization of gear macro and microgeometries using an efficient tooth contact model

Cited by 34 publications

References 33 publications

Numerical and experimental analysis of the vibroacoustic behavior of an electric window-lift gear motor

Numerical and experimental analysis of the vibroacoustic behavior of an electric window-lift gear motor

On a flexible multibody modelling approach using FE-based contact formulation for describing gear transmission error

Effects of lightweight gear blank on noise, vibration and harshness for electric drive system in electric vehicles

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