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.
Digital Object Identifier (DOI)
Antonia Forjaz, Maria; Mario Almeida, Antonio; M. Fernandes, Luıs; Pamplona, Jorge; and de Lacerda–Aroso, T.
"Approaching an Overdamped System as a Quadratic Eigenvalue Problem,"
Applied Mathematics & Information Sciences: Vol. 11
, Article 33.
Available at: https://dc.naturalspublishing.com/amis/vol11/iss4/33