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|Title:||Approaching an overdamped system as a quadratic eigenvalue problem|
|Author(s):||Forjaz, Maria Antónia|
Almeida, A. M.
Fernandes, L. M.
de Lacerda-Arôso, T.
|Keywords:||Quadratic eigenvalue problem|
Damped mass-spring system
|Publisher:||Natural Sciences Publishing|
|Journal:||Applied Mathematics and Information Sciences|
|Citation:||Forjaz 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.|
|Appears in Collections:||CMAT - Artigos em revistas com arbitragem / Papers in peer review journals|
CCT - Artigos (Papers)/Papers
CDF - FMNC - Artigos/Papers (with refereeing)