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Shock and Vibration
Volume 2015, Article ID 736256, 9 pages
http://dx.doi.org/10.1155/2015/736256
Research Article

Dynamic Analysis of Three-Layer Sandwich Beams with Thick Viscoelastic Damping Core for Finite Element Applications

1Deusto Institute of Technology (DeustoTech), Faculty of Engineering, University of Deusto, Avenida de las Universidades 24, 48007 Bilbao, Spain
2Faculty of Engineering, University of Deusto, Avenida de las Universidades 24, 48007 Bilbao, Spain

Received 12 October 2014; Revised 15 January 2015; Accepted 23 February 2015

Academic Editor: Ahmet S. Yigit

Copyright © 2015 Fernando Cortés and Imanol Sarría. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper presents an analysis of the dynamic behaviour of constrained layer damping (CLD) beams with thick viscoelastic layer. A homogenised model for the flexural stiffness is formulated using Reddy-Bickford’s quadratic shear in each layer, and it is compared with Ross-Kerwin-Ungar (RKU) classical model, which considers a uniform shear deformation for the viscoelastic core. In order to analyse the efficiency of both models, a numerical application is accomplished and the provided results are compared with those of a 2D model using finite elements, which considers extensional and shear stress and longitudinal, transverse, and rotational inertias. The intermediate viscoelastic material is characterised by a fractional derivative model, with a frequency dependent complex modulus. Eigenvalues and eigenvectors are obtained from an iterative method avoiding the computational problems derived from the frequency dependence of the stiffness matrices. Also, frequency response functions are calculated. The results show that the new model provides better accuracy than the RKU one as the thickness of the core layer increases. In conclusion, a new model has been developed, being able to reproduce the mechanical behaviour of thick CLD beams, reducing storage needs and computational time compared with a 2D model, and improving the results from the RKU model.