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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 11 > No. 4


Approaching an Overdamped System as a Quadratic Eigenvalue Problem

PP: 961-965
Maria Antonia Forjaz, Antonio Mario Almeida, Luıs M. Fernandes, Jorge Pamplona, T. de Lacerda–Aroso,
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.

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