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Influence of variability in geometric and material parameters on the damping properties of multilayer structures

Communication sans acte
Auteur
KPEKY, Fessal
ccABED-MERAIM, Farid
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]
243747 Labex DAMAS
DAYA, El Mostafa

URI
http://hdl.handle.net/10985/20336
DOI
10.15651/978-88-748-8963-1
Date
2016

Résumé

In this work, we present finite element models based on the solid–shell approach, which have been specifically designed for the modeling of multilayer structures. The originality in the current study lies in the analysis of variability in the design parameters, which could be of geometric or material type. The first type of imperfections generally results from the manufacturing of such structures [1], while the second source of variability arises from the mechanical parameters of the same material, as identified in the literature (e.g., Aluminum Young modulus equal to 70.3 GPa in [2], while estimated as 69 GPa in [3]). Therefore, it is of importance to assess the influence of these uncertainties on the design of actual structures. To this end, several studies have been proposed in the literature, among which in reference [4], the MSP (Modal Stability Procedure) was combined with the MCS (Monte Carlo Simulation). The approach we propose is rather simple and is based on the uncertainty on the actual values of several parameters in some well-defined intervals. The developed method is applied to modeling the vibrations of multilayer shell structures made of elastic layers, viscoelastic and piezoelectric materials. The resulting problem is discretized by linear and quadratic solid–shell finite elements developed in [5, 6] and extended to viscoelastic sandwich structures in [7]. To solve the associated nonlinear equations, we adopt the method that couples the homotopy to ANM (Asymptotic Numerical Method) and AD (Automatic Differentiation) proposed in [8]. The obtained results provide information on the tolerance margin of error that can be committed without compromising structural integrity.

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Documents liés

Visualiser des documents liés par titre, auteur, créateur et sujet.

  • Vibration modeling of sandwich structures using solid-shell finite elements 
    Communication avec acte
    KPEKY, Fessal; BOUDAOUD, Hakim; ccCHALAL, Hocine; ccABED-MERAIM, Farid; DAYA, El Mostafa (2014)
    The aim of this work is to propose a new finite element modeling for vibration of sandwich structures with soft core. Indeed, several approaches have been adopted in the literature to accurately model these types of ...
  • Modélisation par éléments finis de type solide-coque de structures piézoélectriques 
    Communication avec acte
    KPEKY, Fessal; BOUDAOUD, Hakim; ccABED-MERAIM, Farid; DAYA, El Mostafa (Association Française de Mécanique, 2015)
    Dans les dernières décennies, les structures à parois minces intégrant des couches ou patchs de matériaux piézoélectriques ont eu un essor. Ils sont utilisés pour le contrôle des vibrations et de forme, le contrôle acoustique, ...
  • Dynamic response of viscoelastic multilayers structures using solid-shell finite elements 
    Conférence invitée
    KPEKY, Fessal; BOUDAOUD, Hakim; ccCHALAL, Hocine; ccABED-MERAIM, Farid; DAYA, El Mostafa (2014)
    Because vibrations often lead to noise and system dysfunction, they are therefore undesirable in many situations. One of the proposed ways developed in the literature to reduce vibrations is the use of sandwich structures ...
  • Analysis of primal and dual variables in structural shape control by piezoelectric patches using solid-shell finite elements 
    Communication avec acte
    KPEKY, Fessal; ccABED-MERAIM, Farid; DAYA, El Mostafa (A. Güemes, A. Benjeddou , J. Rodellar and Jinsong Leng, 2017)
    This paper presents an assessment of the performances of new piezoelectric solid−shell finite elements. Compared to conventional solid and shell elements, the solid–shell concept reveals to be very attractive, due to a ...
  • New Linear and Quadratic Piezoelectric Solid-Shell Finite Elements 
    Communication sans acte
    KPEKY, Fessal; ccABED-MERAIM, Farid; DAYA, El Mostafa (2016)
    The modeling of piezoelectric structures has been the subject of active research in recent decades (Tzou et al., 1994; Benjeddou et al., 1997; Klinkel and Wagner, 2006). However, advanced finite element technologies that ...

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