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Nondestructive damage detection in Euler–Bernoulli beams using nodal curvatures—Part I: Theory and numerical verification
This paper deals with the problem of nondestructively detecting, locating, and quantifying damage in beam‐type structures. To achieve this objective, structural responses collected prior and subsequent to damage are related to the changes in physical properties of the structure. The proposed methodology is based on the moment–curvature relations of the Euler–Bernoulli beam theory and the assumption that internal stress resultants are invariant before and after damage. Damage is expressed in terms of local decreases in the flexural stiffness of structural members. These decreases are shown to cause singularities in the curvature profile of the beam. Utilizing fundamental equations of solid mechanics, we relate discontinuities in the flexural stiffness distribution to the pre‐damage and post‐damage nodal curvatures. The resulting system of linear equations can be solved to obtain specific element damage indices. The performance of the proposed methodology is evaluated using numerically generated experiments. It is shown that the location, the extent, and the severity of damage in beams may be successfully identified with the proposed technique provided that the structure conforms to the deformations dictated by the Euler–Bernoulli beam theory. The practicality of the methodology under field conditions is demonstrated in the accompanying paper Nondestructive damage detection in Euler‐Bernoulli beams using nodal curvatures‐Part II: Field measurements. Copyright © 2013 John Wiley & Sons, Ltd.
Nondestructive damage detection in Euler–Bernoulli beams using nodal curvatures—Part I: Theory and numerical verification
This paper deals with the problem of nondestructively detecting, locating, and quantifying damage in beam‐type structures. To achieve this objective, structural responses collected prior and subsequent to damage are related to the changes in physical properties of the structure. The proposed methodology is based on the moment–curvature relations of the Euler–Bernoulli beam theory and the assumption that internal stress resultants are invariant before and after damage. Damage is expressed in terms of local decreases in the flexural stiffness of structural members. These decreases are shown to cause singularities in the curvature profile of the beam. Utilizing fundamental equations of solid mechanics, we relate discontinuities in the flexural stiffness distribution to the pre‐damage and post‐damage nodal curvatures. The resulting system of linear equations can be solved to obtain specific element damage indices. The performance of the proposed methodology is evaluated using numerically generated experiments. It is shown that the location, the extent, and the severity of damage in beams may be successfully identified with the proposed technique provided that the structure conforms to the deformations dictated by the Euler–Bernoulli beam theory. The practicality of the methodology under field conditions is demonstrated in the accompanying paper Nondestructive damage detection in Euler‐Bernoulli beams using nodal curvatures‐Part II: Field measurements. Copyright © 2013 John Wiley & Sons, Ltd.
Nondestructive damage detection in Euler–Bernoulli beams using nodal curvatures—Part I: Theory and numerical verification
Dincal, Selcuk (Autor:in) / Stubbs, Norris (Autor:in)
Structural Control and Health Monitoring ; 21 ; 303-316
01.03.2014
14 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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