Publication
Visco-elastic systems as a quadratic eigenvalue problem
| Summary: | In viscous materials systems, time and stress dependent instabilities often occur. The evolution of visco-elastic systems under external stress has already been modeled by applying matricial dynamic equations comprehending elasticity and viscosity matrices. In this study we report a novel formulation for such kind of systems as a nonlinear quadratic eigenvalue problem evolving from an already defined adjacency matrix. A four mass-spring damped system is presented as case study. |
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| Main Authors: | Forjaz, Maria Antónia |
| Other Authors: | Almeida, A. M.; Fernandes, Luís M.; Pamplona, J.; de Lacerda-Arôso, T. |
| Subject: | Quadratic eigenvalue problem Visco-elastic systems Damped mass-spring system |
| Year: | 2017 |
| Country: | Portugal |
| Document type: | conference paper |
| Access type: | open access |
| Associated institution: | Universidade do Minho |
| Language: | English |
| Origin: | RepositóriUM - Universidade do Minho |
| Summary: | In viscous materials systems, time and stress dependent instabilities often occur. The evolution of visco-elastic systems under external stress has already been modeled by applying matricial dynamic equations comprehending elasticity and viscosity matrices. In this study we report a novel formulation for such kind of systems as a nonlinear quadratic eigenvalue problem evolving from an already defined adjacency matrix. A four mass-spring damped system is presented as case study. |
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