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TECHNICAL PAPERS

Characterization of Modal Damping of Sandwich Plates

[+] Author and Article Information
Lotfi Hammami, Bacem Zghal, Tahar Fakhfakh

Research Unit of Mechanical, Modelling and Production (U2MP), Department of Mechanical Engineering,  National School of Engineers of Sfax, B.P.W. 3038 Sfax Tunisia

Mohamed Haddar1

Research Unit of Mechanical, Modelling and Production (U2MP), Department of Mechanical Engineering,  National School of Engineers of Sfax, B.P.W. 3038 Sfax Tunisia

1

Corresponding author: tahar.fakhfakh@voila.fr

J. Vib. Acoust 127(5), 431-440 (Feb 09, 2005) (10 pages) doi:10.1115/1.2013294 History: Received September 05, 2003; Revised February 09, 2005

The homogenization of the energy functional of a sandwich plate, its minimization and its discretization by finite element methods and modeling the viscoelastic core behavior by an hysteretic structural damping lead to the homogenized dynamic equation of a sandwich plate. The vibratory analysis permits the determination of the elastic eigenmodes and the characterization of the modal damping which will serve to the establishment of dynamical responses if we used the modal dynamic recombination method. The numerical results obtained show that the eigenmodes are not orthogonal to the damping matrix but are only weakly coupled. Besides, the modal damping matrix coefficients vary according to the ratio of the core thickness and the total thickness of sandwich plate and follow a second-order polynomial function of this ratio.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 1

Composition of sandwich plate

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Figure 2

Quadrilateral homogenized sandwich plate finite element

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Figure 3

Normalized modal damping matrix terms (plate 1)

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Figure 4

Modal damping term ξii (plate 1)

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Figure 5

Normalized modal damping matrix terms (plate 2)

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Figure 6

Modal damping term ξii (plate 2)

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Figure 7

Modal damping coefficient ξii (plate 3)

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Figure 8

Normalized damping matrix terms (plate 4)

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Figure 9

Modal damping coefficient ξii (plate 4, 5, 6, and 7))

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Figure 10

Modal damping coefficient ξ11 (plate 3)

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Figure 11

Modal damping coefficient ξ11 (plate 1)

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Figure 12

Modal damping coefficient ξ11 (plate 4)

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