Publicação
Approaching an overdamped system as a quadratic eigenvalue problem
| Resumo: | In viscous material systems,time and stress dependente 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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| Autores principais: | Forjaz, Maria Antónia |
| Outros Autores: | Almeida, A. M.; Fernandes, L. M.; Pamplona, J.; de Lacerda-Arôso, T. |
| Assunto: | Quadratic eigenvalue problem Visco-elastic systems Damped mass-spring system |
| Ano: | 2017 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | In viscous material systems,time and stress dependente 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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