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research-article

Variability analysis of modal characteristics of frequency dependent viscoelastic three-layered sandwich beams with spatial random geometrical and material properties

[+] Author and Article Information
Frederic Druesne

Université de Technologie de Compiègne, Laboratoire Roberval UMR CNRS 7337, Centre de Recherche de Royallieu, CS 60319, 60203 Compiègne Cedex, France
frederic.druesne@utc.fr

Hamdaoui Mohamed

Université de Lorraine, LEM3 UMR 7239, Ile du Saulcy, F-57045 Metz - Cedex 01, France
mohamed.hamdaoui@univ-lorraine.fr

Qi Yin

Université de Technologie de Compiègne, Laboratoire Roberval UMR CNRS 7337, Centre de Recherche de Royallieu, CS 60319, 60203 Compiègne Cedex, France

DAYA El Mostafa

Université de Lorraine, LEM3 UMR 7239, Ile du Saulcy, F-57045 Metz - Cedex 01, France
el-mostafa.daya@univ-lorraine.fr

1Corresponding author.

ASME doi:10.1115/1.4036930 History: Received February 08, 2017; Revised May 17, 2017

Abstract

Material and physical properties of a frequency dependent visco-elastic sandwich beam are modeled as a set of spatial random fields and represented by means of the Karhunen-Loève expansion. Variability analysis of frequency and loss factor are performed. An efficient approach based on modal stability procedure is used, the so-called MCS-MSP method. The latter provides very reliable results and allows to analyze the impact of the input variability of a high number of random spatial quantities on the output response. The effect of independent and correlated couples of spatial random fields is investigated. It is shown that the output variability is generally more important for damping than for natural frequencies. Moreover, it is demonstrated that the input variability in geometrical properties are the most impacting for damping and frequency. The influence of input coefficient of variation on output variability is also studied. It is shown that a negative correlation between the face and core thicknesses result in high levels of output variability, when one parameter increases as the other decreases.

Copyright (c) 2017 by ASME
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