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Identification of a crack in a beam by the boundary element method

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Abstract

A method to detect a crack in a beam is presented. The crack is not modeled as a massless rotational spring, and the forward problem is solved for the natural frequencies using the boundary element method. The inverse problem is solved iteratively for the crack location and the crack size by the Newton-Raphson method. The present crack identification procedure is applied to the simulation cases which use the experimentally measured natural frequencies as inputs, and the detected crack parameters are in good agreements with the actual ones. The present method enables one to detect a crack in a beam without the help of the massless rotational spring model.

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Authors and Affiliations

  1. Dept. of Mechanical and Design Engineering, Hongik University, Chochiwon, Yeonki-gun, Choongnam, 339-701, Korea

    Jinhee Lee

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  1. Jinhee Lee
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Correspondence to Jinhee Lee.

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This paper was recommended for publication in revised form by Associate Editor Eung-Soo Shim

Jinhee Lee received B.S. and M.S. degrees from Seoul National University and KAIST in 1982 and 1984, respectively. He received his Ph.D. degree from University of Michigan, Ann Arbor in 1992 and joined Dept. of Mechanical and Design Engineering of Hongik University in Choongnam, Korea. His research interests include inverse problems, pseudospectral method, vibration and dynamic systems.

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Lee, J. Identification of a crack in a beam by the boundary element method. J Mech Sci Technol 24, 801–804 (2010). https://doi.org/10.1007/s12206-010-0119-8

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  • DOI: https://doi.org/10.1007/s12206-010-0119-8

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