On Isospectral Composite Beams
Source abstract
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.
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Research context
OpenAlex topics: Advanced Mathematical Modeling in Engineering · Spectral Theory in Mathematical Physics · Numerical methods in inverse problems
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Affiliations
Escola Politecnica, University of São Paulo, São Paulo 05508-220, Brazil
Dipartimento Politecnico di Ingegneria e Architettura, University of Udine, 33100 Udine, Italy
Funding
Fapesp
References (31)
Show source-provided references
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