Modal analysis of elastic vibrations of incompressible materials using a pressure-stabilized finite element method
This paper describes a modal analysis technique to approximate the vibrations of incompressible elastic solids using a stabilized finite element method to approximate the associated eigenvalue problem. It is explained why residual based formulations are not appropriate in this case, and a formulatio...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/369175 |
| Acceso en línea: | https://hdl.handle.net/2117/369175 https://dx.doi.org/10.1016/j.finel.2022.103760 |
| Access Level: | acceso abierto |
| Palabra clave: | Waves--Mathematical models Modal analysis Incompressible elastic waves Eigenvalue problems Stabilized finite element methods Àrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids |
| Sumario: | This paper describes a modal analysis technique to approximate the vibrations of incompressible elastic solids using a stabilized finite element method to approximate the associated eigenvalue problem. It is explained why residual based formulations are not appropriate in this case, and a formulation involving only the pressure gradient is employed. The effect of the stabilization term compared to a Galerkin approach is detailed, both in the derivation of the approximate formulation and in the error estimate provided. |
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