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Approaching an Overdamped System as a Quadratic Eigenvalue Problem |
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PP: 961-965 |
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doi:10.18576/amis/110402
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Author(s) |
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Maria Antonia Forjaz,
Antonio Mario Almeida,
Luıs M. Fernandes,
Jorge Pamplona,
T. de Lacerda–Aroso,
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Abstract |
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| 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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