We discuss a systematic methodology that leads to the reconstruction of the material profile of either single, or assemblies of one-dimensional flexural components endowed with Timoshenko-theory assumptions. The probed structures are subjected to user-specified transient excitations: we use the complete waveforms, recorded directly in the time-domain at only a few measurement stations, to
drive the profile reconstruction using a partial-differential-equation-constrained optimization approach. We
discuss the solution of the ensuing state, adjoint, and control
problems, and the alleviation of profile multiplicity by means of
either Tikhonov or Total Variation regularization. We report on
numerical experiments using synthetic data that show satisfactory
reconstruction of a variety of profiles, including smoothly and
sharply varying profiles, as well as profiles exhibiting localized
discontinuities. The method is well suited for imaging structures for condition assessment purposes, and can handle either diffusive or
localized damage without need for a reference undamaged state. / text
| Identifer | oai:union.ndltd.org:UTEXAS/oai:repositories.lib.utexas.edu:2152/ETD-UT-2009-12-616 |
| Date | 03 August 2010 |
| Creators | Karve, Pranav M., 1983- |
| Contributors | Kallivokas, Loukas F. |
| Source Sets | University of Texas |
| Language | English |
| Detected Language | English |
| Type | thesis |
| Format | application/pdf |
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