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Article Dans Une Revue Journal of Vibration and Acoustics Année : 2012

Stochastic Analysis of the Eigenvalue Problem for Mechanical Systems Using Polynomial Chaos Expansion

Résumé

This paper proposes to use a polynomial chaos expansion approach to compute stochastic complex eigenvalues and eigenvectors of structures including damping or gyroscopic effects. Its application to a finite element rotor model is compared to Monte Carlo simulations. This lets us validate the method and emphasize its advantages. Three different uncertain configurations are studied. For each, a stochastic Campbell diagram is proposed and interpreted and critical speeds dispersion is evaluated. Furthermore, an adaptation of the Modal Accordance Criterion is proposed in order to monitor the eigenvectors dispersion.
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hal-00704857 , version 1 (05-10-2018)

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Emmanuelle Sarrouy, Olivier Dessombz, Jean-Jacques Sinou. Stochastic Analysis of the Eigenvalue Problem for Mechanical Systems Using Polynomial Chaos Expansion: Application to a Finite Element Rotor. Journal of Vibration and Acoustics, 2012, 134 (5), ⟨10.1115/1.4005842⟩. ⟨hal-00704857⟩
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