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

Marco Pingaro (), Giacomo Maurelli () and Paolo Venini ()
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Marco Pingaro: Sapienza University of Rome
Giacomo Maurelli: University of Pavia
Paolo Venini: University of Pavia

Journal of Optimization Theory and Applications, 2020, vol. 187, issue 3, No 9, 800-821

Abstract: 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 behavior 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.

Keywords: Interdependent interpolation element; Damage parameters; Direct problem; Inverse problem; Numerical optimization; 49J53; 49K99; 49K35 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-020-01637-6

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