On Isospectral Composite Beams

Author:

Kawano Alexandre1ORCID,Morassi Antonino2ORCID

Affiliation:

1. Escola Politecnica, University of São Paulo, São Paulo 05508-220, Brazil

2. Dipartimento Politecnico di Ingegneria e Architettura, University of Udine, 33100 Udine, Italy

Abstract

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.

Funder

São Paulo Research Foundation

Publisher

MDPI AG

Subject

Fluid Flow and Transfer Processes,Computer Science Applications,Process Chemistry and Technology,General Engineering,Instrumentation,General Materials Science

Reference31 articles.

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