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Title: Transverse vibrations of viscoelastic sandwich beams via a Galerkin-based state-space approach
Authors: Palmeri, Alessandro
Ntotsios, Evangelos
Issue Date: 2016
Publisher: American Society of Civil Engineers. This work is made available under the terms of the Creative Commons Attribution 4.0 International license, http://creativecommons.org/licenses/by/4.0/
Citation: PALMERI, A. and NTOTSIOS, E., 2016. Transverse vibrations of viscoelastic sandwich beams via a Galerkin-based state-space approach. Journal of Engineering Mechanics, 142 (7), 04016036.
Abstract: A new state-space model is formulated for the dynamic analysis of sandwich beams that are made of two thin elastic layers continuously joined by a shear-type viscoelastic (VE) core. The model can accommodate different boundary conditions for each outer layer and accounts for the rate-dependent constitutive law of the core through additional state variables. The mathematical derivation is presented with the Standard Linear Solid (SLS) model (i.e., a primary elastic spring in parallel with a single Maxwell element) and then extended to the generalized Maxwell (GM) model. The kinematics equations are developed by means of Galerkin-type approximations for the fields of axial and transverse displacements in the outer layers, and imposing the pertinent compatibility conditions at the interface with the core. Numerical examples demonstrate the accuracy and versatility of the proposed approach, which endeavors to represent the effects of the VE memory on the vibration of composite beams.
Description: This work is made available under the terms of the Creative Commons Attribution 4.0 International license, http://creativecommons.org/licenses/by/4.0/.
Sponsor: This work has been supported by the Engineering and Physical Sciences Research Council (EPSRC), under the grant “TREViS: Tailoring Nano-Reinforced Elastomers to Vibrating Structures,” EP/I033924/1.
Version: Published
DOI: 10.1061/(ASCE)EM.1943-7889.0001069
URI: https://dspace.lboro.ac.uk/2134/19964
Publisher Link: http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0001069
ISSN: 0733-9399
Appears in Collections:Published Articles (Civil and Building Engineering)

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