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TitleApproaching an overdamped system as a quadratic eigenvalue problem
Author(s)Forjaz, Maria Antónia
Almeida, A. M.
Fernandes, L. M.
Pamplona, J.
de Lacerda-Arôso, T.
KeywordsQuadratic eigenvalue problem
Visco-elastic systems
Damped mass-spring system
Issue date1-Jul-2017
PublisherNatural Sciences Publishing
JournalApplied Mathematics and Information Sciences
CitationForjaz M. A., Almeida M., Fernandes L. M., Pamplona J., Lacerda–Arôso T. (2017). Approaching an Overdamped System as a Quadratic Eigenvalue Problem. Applied Mathematics & Information Sciences 11 (4): 961-965.
Abstract(s)In viscous material systems,time and stress dependente instabilities often occur. The evolution of visco-elastic systems under external stress has already been modeled by applying a matricial dynamics equation comprehending elasticity and viscosity matrices. In this study we report a novel formulation for such kind of systems in an overdamped regime as a nonlinear quadratic eigenvalue problem. The results presented were obtained after solving the eigenvalue equation of several sets of discrete damped mass-spring systems.
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals
CCT - Artigos (Papers)/Papers
CDF - FMNC - Artigos/Papers (with refereeing)

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