Transverse vibrations of viscoelastic sandwich beams via Galerkin-based state-space approach
Transverse vibrations of viscoelastic sandwich beams via Galerkin-based state-space approach
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.
Palmeri, Alessandro
f1985cb5-a5ef-44fb-ac6c-19041e468a10
Ntotsios, Evangelos
877c3350-0497-4471-aa97-c101df72e05e
July 2016
Palmeri, Alessandro
f1985cb5-a5ef-44fb-ac6c-19041e468a10
Ntotsios, Evangelos
877c3350-0497-4471-aa97-c101df72e05e
Palmeri, Alessandro and Ntotsios, Evangelos
(2016)
Transverse vibrations of viscoelastic sandwich beams via Galerkin-based state-space approach.
Journal of Engineering Mechanics, 142 (7), [04016036].
(doi:10.1061/(ASCE)EM.1943-7889.0001069).
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.
Text
(ASCE)EM.1943-7889.0001069
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Submitted date: 20 December 2014
Accepted/In Press date: 9 December 2015
e-pub ahead of print date: 15 March 2016
Published date: July 2016
Identifiers
Local EPrints ID: 415927
URI: http://eprints.soton.ac.uk/id/eprint/415927
ISSN: 0733-9399
PURE UUID: 8c301f3e-6290-4528-bc85-d402d078aedd
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Date deposited: 28 Nov 2017 17:31
Last modified: 16 Mar 2024 04:16
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Author:
Alessandro Palmeri
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