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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Uniqueness in the determination of unknown coefficients of an Euler-Bernoulli beam equation with observation in an arbitrary small interval of time

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Autor(es):
Kawano, Alexandre
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: Journal of Mathematical Analysis and Applications; v. 452, n. 1, p. 351-360, AUG 1 2017.
Citações Web of Science: 2
Resumo

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)

Processo FAPESP: 15/17560-4 - Unicidade na identificação de defeitos em vigas de Euler-Bernoulli no caso não linear
Beneficiário:Alexandre Kawano
Modalidade de apoio: Auxílio à Pesquisa - Regular