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

Journal of Optimization Theory and Applications volume 187, pages800–821(2020)Cite this article

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.

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Affiliations

  1. Sapienza University of Rome, Rome, Italy

    Marco Pingaro

  2. University of Pavia, Pavia, Italy

    Giacomo Maurelli & Paolo Venini

Authors
  1. Marco Pingaro
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  2. Giacomo Maurelli
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  3. Paolo Venini
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Correspondence to Marco Pingaro.

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Cite this article

Pingaro, M., Maurelli, G. & Venini, P. Analysis and Damage Identification of a Moderately Thick Cracked Beam Using an Interdependent Locking-Free Element. J Optim Theory Appl 187, 800–821 (2020). https://doi.org/10.1007/s10957-020-01637-6

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Keywords

  • Interdependent interpolation element
  • Damage parameters
  • Direct problem
  • Inverse problem
  • Numerical optimization

Mathematics Subject Classification

  • 49J53
  • 49K99
  • 49K35