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Research Papers

A New 3D Finite Element for Sandwich Beams With a Viscoelastic Core

[+] Author and Article Information
Kamel Amichi1

Department of Mechanical Engineering, Université de Sherbrooke, 2500 Boulevard Université, Sherbrooke, QC, J1K 2R1, Canadakamel.amichi@usherbrooke.ca

Noureddine Atalla

Department of Mechanical Engineering, Université de Sherbrooke, 2500 Boulevard Université, Sherbrooke, QC, J1K 2R1, Canada

1

Corresponding author.

J. Vib. Acoust 131(2), 021010 (Feb 19, 2009) (9 pages) doi:10.1115/1.3025828 History: Received February 15, 2008; Revised October 14, 2008; Published February 19, 2009

A sandwich finite element for laminated steels is presented. It is based on a discrete displacement approach and allows for both symmetrical and unsymmetrical configurations. The three-layer sandwich model is built assuming a Timoshenko hypothesis for the viscoelastic core and Euler–Bernoulli hypotheses for the elastic faces, but the latter is modified to account for the rotational influence of the transversal shearing in the core. The validity and accuracy of the presented element are assessed through comparisons with numerical results of sandwich beams and sandwich rings with a variety of geometrical and mechanical properties and various boundary conditions. The present results are also compared with analytical, finite element, and experimental solutions for various boundary conditions.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Geometry of the sandwich beam

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Figure 2

Displacement field of the sandwich beam

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Figure 3

Sandwich beam element with eight degrees of freedom (DOF)

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Figure 5

Driving point mechanical impedance of a sandwich beam (Sun and Lu (32), Fig. 4.3, p. 173). Experimental validation: (—) finite element sandwich; (○) experimental.

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Figure 6

Driving point mechanical impedance of a sandwich beam (Sun and Lu (32), Fig. 4.4, p. 174). Experimental validation: (—) finite element sandwich; (○) experimental.

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Figure 7

Damping loss factor of a beam with constrained layer damping treatment. Results are plotted for three thicknesses of the constraining layer using (——) the present finite element model (by using modal strain energy), (●) a spectral finite element model (33), and (…) discrete laminate approach.

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Figure 9

Input mobility (dB) of a sandwich ring. Numerical validation: (- - -) finite element sandwich; (—) MSC/NASTRAN

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