Approaching an overdamped system as a quadratic eigenvalue problem

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 formulati...

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Bibliographic Details
Main Author: Forjaz, Maria Antónia (author)
Other Authors: Almeida, A. M. (author), Fernandes, L. M. (author), Pamplona, J. (author), de Lacerda-Arôso, T. (author)
Format: article
Language:eng
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/1822/46561
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/46561
Description
Summary: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.