Abstract
In viscous material systems, time and stress dependent 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.
Suggested Reviewers
N/A
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/amis/110402
Recommended Citation
Antonia Forjaz, Maria; Mario Almeida, Antonio; M. Fernandes, Luıs; Pamplona, Jorge; and de Lacerda–Aroso, T.
(2017)
"Approaching an Overdamped System as a Quadratic Eigenvalue Problem,"
Applied Mathematics & Information Sciences: Vol. 11
:
Iss.
4
, Article 33.
DOI: http://dx.doi.org/10.18576/amis/110402
Available at:
https://dc.naturalspublishing.com/amis/vol11/iss4/33