A polynomial chaos method for the analysis of the dynamic behavior of uncertain gear friction system

Guerine, Ahmed; Hami, Abdelkhalak El; Walha, Lassâad; Fakhfakh, Tahar; Haddar, Mohamed

doi:10.1016/j.euromechsol.2016.03.007

Cited by 50 publications

(11 citation statements)

References 15 publications

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“…Gill-Jeong [27] describes an analysis of the nonlinear behavior of gear pairs considering the hydrodynamic effects and friction force; the results indicated that friction had very little effect on torsional behavior. Guerine et al [28] studied the dynamic behavior of spur gear system in the presence of friction coefficient on the teeth contact based on the polynomial chaos method.…”

Section: Introductionmentioning

confidence: 99%

Dynamic modeling and analysis of spur gears considering friction–vibration interactions

Jiang

Liu

2017

J Braz. Soc. Mech. Sci. Eng.

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Sliding friction is a non-negligible excitation source in gear vibration. The instantaneous vibratory velocity affects the relative sliding velocity of the mesh tooth, resulting in a change of the friction force, that may increase gear vibration. This paper aims to present focuses on studying the dynamic responses of spur gears with considering friction-vibration interactions. First, the angular position-dependent time-varying mesh stiffness function was established based on the torsional vibration motion of the pinion. Second, the sliding friction forces are calculated by considering the torsional and translational vibration motions of the gear system. Third, a six-degreeof-freedom analytical spur gear pair model is developed by incorporating the time-varying mesh stiffness and sliding friction. Finally, the dynamic responses for spur gears with sliding friction considering the effect of vibration are illustrated by comparing the simulation results from three models. The results indicate that it is very necessary to consider the effects of vibration on the sliding friction for gear dynamic responses.

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Section: Introductionmentioning

confidence: 99%

Dynamic modeling and analysis of spur gears considering friction–vibration interactions

Jiang

Liu

2017

J Braz. Soc. Mech. Sci. Eng.

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“…Afterwards, researchers understand that a constant friction coefficient is acceptable in gear dynamic analysis and whine noise prediction. Most scholars adopt the Coulomb friction model [205][206][207][208][209][210] and a user-defined constant friction coefficient. However, Liu et al [211] observed that the variance of the frictional coefficient should not be neglected.…”

Section: Friction Force Prediction Vaishya and Singhmentioning

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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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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“…For instance, Nechak et al (2013) studied the stability of a break system using the indirect Lyapunov approach associated with a non-intrusive gPC. Uncertainties due to friction in gear system have been investigated using the gPC in Guerine et al (2016). Moreover, the ME-gPC is shown to be very efficient to predict the friction-induced vibrations in a nonlinear uncertain dry friction system Nechak et al (2011Nechak et al ( , 2012.…”

Section: Introductionmentioning

confidence: 99%

Prediction of the dynamic behavior of an uncertain friction system coupled to nonlinear energy sinks using a multi-element generalized polynomial chaos approach

Snoun

Bergeot

Berger

2020

European Journal of Mechanics - A/Solids

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In this paper, a friction system with uncertain parameters and coupled to two Nonlinear Energy Sinks (NESs) is studied. The dispersion of some physical parameters due to their uncertain nature may generate a dynamic instability which leads to a Limit Cycle Oscillations (LCO) causing a propensity of squeal. The concept of Targeted Energy Transfer (TET) by means of NESs to mitigate this squealing noise is proposed. In this kind of unstable dynamical system coupled to NES, the transition from harmless regimes (i.e. the LCO is mitigated) to harmful regimes (i.e. the LCO is not mitigated) as a function of the uncertain parameters implies a discontinuity in the steady-state amplitude profiles. In this context, a Multi-Element generalized Polynomial Chaos (ME-gPC) based method is proposed to locate this discontinuity (called mitigation limit) and therefore to predict the Propensity of the system to undergo an Harmless Steady-State Regime (PHSSR). The results obtained with this original method lead to a good compromise between computational cost and accuracy in comparison with a reference method.

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A polynomial chaos method for the analysis of the dynamic behavior of uncertain gear friction system

Cited by 50 publications

References 15 publications

Dynamic modeling and analysis of spur gears considering friction–vibration interactions

Dynamic modeling and analysis of spur gears considering friction–vibration interactions

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

Prediction of the dynamic behavior of an uncertain friction system coupled to nonlinear energy sinks using a multi-element generalized polynomial chaos approach

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