A polynomial chaos method to the analysis of the dynamic behavior of spur gear system

Ahmed Guerine · Abdelkhalak El Hami · Taher Fakhfakh · Mohamed Haddar

36 citations0/0 files storedSTRUCTURAL ENGINEERING AND MECHANICS

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Probabilistic and Robust Engineering Design Gear and Bearing Dynamics Analysis Vibration and Dynamic Analysis

Abstract

In this paper, we propose a new method for taking into account uncertainties based on the projection on polynomial chaos. The new approach is used to determine the dynamic response of a spur gear system with uncertainty associated to gear system parameters and this uncertainty must be considered in the analysis of the dynamic behavior of this system. The simulation results are obtained by the polynomial chaos approach for dynamic analysis under uncertainty. The proposed method is an efficient probabilistic tool for uncertainty propagation. It was found to be an interesting alternative to the parametric studies. The polynomial chaos results are compared with Monte Carlo simulations.

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References

2003Modeling uncertainty in flow simulations via generalized polynomial chaos 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data 2008Polynomial chaos expansion for sensitivity analysis 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos 2002A Stochastic Projection Method for Fluid Flow 1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems 2001A Stochastic Projection Method for Fluid Flow 2006Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects

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2017Dynamic response analysis of Vertical Axis Wind Turbine geared transmission system with uncertainty 2016Dynamic response of a spur gear system with uncertain parameters

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