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On Isospectral Composite Beams

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Author(s):
Kawano, Alexandre ; Morassi, Antonino
Total Authors: 2
Document type: Journal article
Source: APPLIED SCIENCES-BASEL; v. 13, n. 13, p. 11-pg., 2023-07-01.
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. (AU)

FAPESP's process: 19/24915-4 - Identification of parameters in nano-plates
Grantee:Alexandre Kawano
Support Opportunities: Research Grants - Visiting Researcher Grant - International