Dynamics of stochastic and periodic structures in mid-frequency range

M.A. Ben Souf (1) , Olivier Bareille (1) , Mohamed Ichchou (1) , Noureddine Bouhaddi (2) , Mohamed Haddar (3)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes
2 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
3 CEM Lab - ENIS - Département de Génie Électrique de Sfax [ENIS]

a hybridization of the Wave Finite Element Method (WFEM) with the Generalised Polynomial Chaos Expansion (GCE). The WFE is a spectral method dealing with wave propagation in periodic structure. This method proved its efficiency in different domains; structural vibration, non-destructive testing, etc. However, the WFE is limited to deterministic media. Knowing that uncertainties affect dynamic behavior in Mid- and High frequencies, the combination of WFE and GCE is used to predict the effect of uncertainties on the dynamic response of periodic media. The uses of the GCE is based on the iso-probabilistic transformations for usuel distributions to Gaussian one to use the Hermite-Chaos expansion.The presented approach is validated for two periodic waveguides connected through a junction with uncertain parameters. The obtained results are verified vs Monte Carlo simulations.

Domaines: Mécanique [physics.med-ph]

M.A. Ben Souf, Olivier Bareille, Mohamed Ichchou, Noureddine Bouhaddi, Mohamed Haddar. Dynamics of stochastic and periodic structures in mid-frequency range. 1st Euro-Mediterranean Conference on Structural Dynamics and Vibroacoustics (MEDYNA 2013), Jan 2013, France. pp.1 - 4. ⟨hal-00993404⟩