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Title: Dynamic analysis of multi-cracked Euler-Bernoulli beams with gradient elasticity
Authors: Dona, Marco
Palmeri, Alessandro
Lombardo, Mariateresa
Keywords: Aifantis strain gradient
Eringen's stress gradient
Euler-Bernoulli beam
Galerkin method
Hybrid gradient elasticity (HGE)
Non-local elasticity
Issue Date: 2015
Publisher: © Elsevier
Citation: DONA, M., PALMERI, A. and LOMBARDO, M., 2015. Dynamic analysis of multi-cracked Euler-Bernoulli beams with gradient elasticity. Computers and Structures, 161, pp.64-76.
Abstract: Galerkin-type approach is presented and numerically validated for the vibration analysis of non-local slender beams with multiple cracks, in which a hybrid gradient elasticity (HGE) model accounts for the microstructural e ects. It is shown that: i) a smoother and more realistic profile of beam’s rotations is obtained at the damaged locations; ii) independently of support restraints and damage scenarios, only four boundary conditions are required, meaning that the computational e ort does not increase with the number of cracks; iii) the microstructural effects become significant when the modal wave lengths are less then about forty times the HGE length-scale parameters.
Description: This paper was accepted for publication in the journal Computers and Structures and the definitive published version is available at http://dx.doi.org/10.1016/j.compstruc.2015.08.013
Version: Accepted for publication
DOI: 10.1016/j.compstruc.2015.08.013
URI: https://dspace.lboro.ac.uk/2134/18910
Publisher Link: http://dx.doi.org/10.1016/j.compstruc.2015.08.013
ISSN: 1879-2243
Appears in Collections:Published Articles (Architecture, Building and Civil Engineering)

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