Analysis and Damage Identification of a Moderately Thick Cracked Beam Using an Interdependent Locking-Free Element

descriptionPublicationkeyboard_double_arrow_right Article 26 Mar 2020 Italy English Publisher:Springer Science and Business Media LLCJournal:Journal of Optimization Theory and Applications, volume 187, pages 800-821 (issn: 0022-3239, eissn: 1573-2878,

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Authors: Pingaro, Marco; Maurelli, Giacomo; Venini, Paolo;

doi: 10.1007/s10957-020-01637-6 , 10.5281/zenodo.3702573 , 10.5281/zenodo.3702574

handle: 11573/1398803 , 11571/854483 , 11571/1449947

Analysis and Damage Identification of a Moderately Thick Cracked Beam Using an Interdependent Locking-Free Element

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Abstract

The Timoshenko interdependent interpolation element, based on the assumption of cubic interpolation for the transverse displacement and quadratic interpolation for the rotation, is developed for both the static and the dynamic problems. Next, the different behaviour of a beam due to the presence of a damaged zone is investigated and the problem of identifying diffused crack affecting a portion of the beam using natural frequencies is studied. The damaged zone can be completely taken into account by introducing only three parameters and, for the inverse problem, numerical optimization is applied to define their values.

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Italy

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Keywords

Numerical optimization and variational techniques, Damage parameters; Direct problem; Interdependent interpolation element; Inverse problem; Numerical optimization, interdependent interpolation element, Numerical optimization, PDE constrained optimization (numerical aspects), Damage parameter, 510, 620, numerical optimization, Interdependent interpolation element, damage parameters, direct problem, Inverse problem, inverse problem, Direct problem

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