Uniqueness in the determination of vibration sources in polygonal plates observing the displacement over a space-time open set

Autor(es)

Kawano, Alexandre ^[1] ; Yamaoka, Luis ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Esc Politecn, Sao Paulo - Brazil

^[2] Univ Fed Sao Paulo, Multidisciplinary Dept, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK; v. 99, n. 8 AUG 2019.
• Citações Web of Science: 0

Resumo

In this article we deal with the identification of dynamical loading over the class of all plates with polygonal shapes that admit complete systems of trigonometric polynomials. It is proved that given an open set V in the interior of a plate with one of those shapes, using the displacement measured over V for a time interval longer than a minimum value, it is possible to identify uniquely the spatial distribution of the load acting over the plate. (AU)

• Processo FAPESP: 17/06452-1 - Unicidade na identificação de fontes em teias de aranha, vigas contínuas de Euler-Bernoulli e em placas de Germain-Lagrange
• Beneficiário: Alexandre Kawano
• Modalidade de apoio: Auxílio à Pesquisa - Regular