On the dynamics of uncertain coupled structures through a wave based method in mid- and high-frequency ranges

Authors:
M. A. Ben Souf;M. N. Ichchou;O. Bareille;M. Haddar
Affiliations:
LTDS, Ecole Centrale de Lyon, Ecully Cedex, France 69134;LTDS, Ecole Centrale de Lyon, Ecully Cedex, France 69134;LTDS, Ecole Centrale de Lyon, Ecully Cedex, France 69134;Unité de Mécanique, Modélisation et Productique, Ecole nationale d'Ingénieurs de Sfax, Sfax, Tunisie
Venue:
Computational Mechanics
Year:
2013

Citing 2
Cited 0

Stochastic finite elements: a spectral approach

Stochastic finite elements: a spectral approach
Experimental identification of an uncertain computational dynamical model representing a family of structures

Computers and Structures

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Abstract

This paper focuses on guided wave propagation in elastic random structures. A numerical tool, referred to as the 'stochastic wave finite element method' (SWFE) describing uncertain spectral parameters in periodic structures is presented. This approach represents an extension of the wave finite element for homogenous randomness media. The statistics of the kinematic diffusion matrix for two semi-infinite waveguides connected through an uncertain coupling element is offered. The diffusion relationships presented evaluate the statistics of reflection and transmission coefficients for semi-infinite connected waveguides subject to structural and geometrical variabilities on a coupling element. Finally, the effects of the uncertainties on kinematic and energetic parameters are investigated for two finite coupled structures based on the stochastic spectral approach. Numerical experiments show the effectiveness of the proposed formulation to predict the dynamics of periodic systems in mid- and high-frequency ranges with low CPU consumption.