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Transverse vibrations of viscoelastic sandwich beams via a Galerkin-based state-space approach

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journal contribution
posted on 06.01.2016, 16:35 by Alessandro PalmeriAlessandro Palmeri, Evangelos Ntotsios
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.

Funding

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.

History

School

  • Architecture, Building and Civil Engineering

Published in

Journal of Engineering Mechanics

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.

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/

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VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/

Publication date

2016

Notes

This work is made available under the terms of the Creative Commons Attribution 4.0 International license, http://creativecommons.org/licenses/by/4.0/.

ISSN

0733-9399

eISSN

1943-7889

Language

en

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