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Boundary element method based sensitivity analysis of the crack detection in beams

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Abstract

A sensitivity analysis of natural frequencies to detect defects in beams is presented. The performance of the Boundary element method (BEM) as a means of the forward problem solver is compared with that of the Finite element method (FEM) with massless rotational spring model. Experimentally measured natural frequencies are input as the reference frequencies. As for the crack cases considered in the present study BEM shows better performance than FEM with massless rotational spring model. Because all the computations are restricted to the boundary BEM is particularly useful when subsequent changes in the meshes are made, which makes it ideal for the defect detection problem that requires the re-meshing many times. BEM may be an alternative to FEM with massless rotational spring model in the defect detection of a beam.

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Authors and Affiliations

  1. Dep. of Mechanical and Design Engineering, Hongik University, Sejongro 2639, Sejong, 339-701, Korea

    Jinhee Lee

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  1. Jinhee Lee
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Correspondence to Jinhee Lee.

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Recommended by Associate Editor Jin Weon Kim

Jinhee Lee received B.S. and M.S. degrees from Seoul National University and Korea Advanced Institute of Science and technology 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, Hongik University. His research interests include inverse problems, pseudospectral method, vibration and dynamic systems.

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Lee, J. Boundary element method based sensitivity analysis of the crack detection in beams. J Mech Sci Technol 29, 3627–3634 (2015). https://doi.org/10.1007/s12206-015-0806-6

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  • DOI: https://doi.org/10.1007/s12206-015-0806-6

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