| Full text | |
| Author(s): |
Kawano, Alexandre
Total Authors: 1
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 452, n. 1, p. 351-360, AUG 1 2017. |
| Web of Science Citations: | 2 |
| Abstract | |
In the present article, we prove an uniqueness result for the non-linear problem of identifying the flexural stiffness and density of an Euler Bernoulli beam using observation of boundary measurements. Here we show that the knowledge of the displacement and slope of at the free extremity of a clamped-free vibrating beam, for an arbitrary small interval of time, leads to the uniqueness in the identification of its rigidity and density. This result extends previous works that showed that the identification was possible when the observation was collected in an unbounded interval of time, or when the original dynamic problem for the Euler Bernoulli beam was linearised. (C) 2017 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 15/17560-4 - Uniqueness in the identification of damage in Euler-Bernoulli beams in the non linear case |
| Grantee: | Alexandre Kawano |
| Support Opportunities: | Regular Research Grants |