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Dynamic analysis of multi-cracked Euler-Bernoulli beams with gradient elasticity

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journal contribution
posted on 30.09.2015, 13:52 by Marco Dona, Alessandro PalmeriAlessandro Palmeri, Mariateresa LombardoMariateresa Lombardo
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.

History

School

  • Architecture, Building and Civil Engineering

Published in

Computers and Structures

Volume

161

Pages

64 - 76

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.

Publisher

© Elsevier

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

14/08/2015

Publication date

2015-10-23

Notes

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

ISSN

0045-7949

eISSN

1879-2243

Language

en