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

Author

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  • Marco Pingaro

    (Sapienza University of Rome)

  • Giacomo Maurelli

    (University of Pavia)

  • Paolo Venini

    (University of Pavia)

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.

Suggested Citation

  • Marco Pingaro & Giacomo Maurelli & Paolo Venini, 2020. "Analysis and Damage Identification of a Moderately Thick Cracked Beam Using an Interdependent Locking-Free Element," Journal of Optimization Theory and Applications, Springer, vol. 187(3), pages 800-821, December.
    • Handle: RePEc:spr:joptap:v:187:y:2020:i:3:d:10.1007_s10957-020-01637-6
    DOI: 10.1007/s10957-020-01637-6
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    Cited by:

    1. Egidio Lofrano & Marco Pingaro & Patrizia Trovalusci & Achille Paolone, 2020. "Optimal Sensors Placement in Dynamic Damage Detection of Beams Using a Statistical Approach," Journal of Optimization Theory and Applications, Springer, vol. 187(3), pages 758-775, December.

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