On Isospectral Composite Beams

Autor(es)

Kawano, Alexandre ; Morassi, Antonino

• Tipo de documento: Artigo Científico
• Fonte: APPLIED SCIENCES-BASEL; v. 13, n. 13, p. 11-pg., 2023-07-01.

Resumo

We consider a composite system consisting of two identical straight elastic beams under longitudinal vibration connected by an elastic interface capable of counteracting the relative vibration of the two beams with its shearing stiffness. We construct examples of isospectral composite beams, i.e., countable one-parameter families of beams having different shearing stiffness but exactly the same eigenvalues under a given set of boundary conditions. The construction is explicit and is based on the reduction to a one-dimensional Sturm-Liouville eigenvalue problem and the application of a Darboux's lemma. (AU)

• Processo FAPESP: 19/24915-4 - Identificação de parâmetros em nano-placas
• Beneficiário: Alexandre Kawano
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional