Inverse damage prediction in structures using nonlinear dynamic perturbation theory |
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Authors: | Hua-Peng Chen N Bicanic |
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Affiliation: | (1) Department of Civil Engineering, University of Glasgow, Glasgow, G12 8LT, UK |
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Abstract: | A non-linear perturbation theory which furnishes an exact relationship between the perturbation of structural parameters and
the perturbation of modal parameters is presented. A system of governing equations is derived, where the information about
incomplete modal data can be directly adopted. The Direct Iteration and the Gauss–Newton Least Squares techniques for an inverse
prediction of structural damage are discussed, where both the location and the extent of structural damage can be correctly
determined using only a limited amount of incomplete modal measurements data. Structural damage is assumed to be associated
with a proportional reduction of the original element stiffness matrix or with a proportional reduction of the contribution
of a Gauss point to the element stiffness matrix, which characterises a structure at an element level or at a Gauss point
level. Finally, a damaged cantilever beam is considered using different model problems to demonstrate the effectiveness of
the proposed techniques. |
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Keywords: | Inverse problems Sensitivity analysis Nonlinear dynamic perturbation Damage identification Finite element dynamic analysis |
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