Uniqueness in the determination of loads in multi-span beams and plates

Autor(es)

Kawano, Alexandre ^[1] ; Morassi, Antonino ^[2]

Afiliação do(s) autor(es)

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

^[2] Univ Udine, Polytech Dept Engn & Architecture, Udine - Italy

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN JOURNAL OF APPLIED MATHEMATICS; v. 30, n. 1, p. 176-195, FEB 2019.
• Citações Web of Science: 0

Resumo

Most of the results available on the inverse problem of determining loads acting on elastic beams or plates under transverse vibration refer to single beam or single plate. In this paper, we consider the determination of sources in multi-span systems obtained by connecting either two Euler-Bernoulli elastic beams or two rectangular Kirchhoff-Love elastic plates. The material of the structure is assumed to be homogeneous and isotropic. The transverse load is of the form g(t)f(x), where g(t) is a known function of time and f(x) is the unknown term depending on the position variable x. Under slight a priori assumptions, we prove a uniqueness result for f(x) in terms of observations of the dynamic response taken at interior points of the structure in an arbitrary small interval of time. A numerical implementation of the method is included to show the possible application of the results in the practical identification of the source term. (AU)

• Processo FAPESP: 17/07189-2 - Comportamento dinâmico de teias de aranha e problemas inversos relacionados
• Beneficiário: Alexandre Kawano
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional
• 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