Proper orthogonal decomposition for model reduction of a vibroimpact system
The application that inspires this work is the percussion drilling. This problem has impacts and presents uncertainties. In this first analysis the focus is on the constru ction of an efficient reduced-order model to deal with the nonlinear dynamics due to the impacts. It is important to have an eff...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/66145 |
| Acceso en línea: | http://hdl.handle.net/11336/66145 |
| Access Level: | acceso abierto |
| Palabra clave: | MODEL REDUCTION PROPER ORTHOGONAL DECOMPOSITION (POD) KARTHUNEN-LOÉVE EXPANSION VIBROIMPACT SYSTEM https://purl.org/becyt/ford/2.3 https://purl.org/becyt/ford/2 |
| Sumario: | The application that inspires this work is the percussion drilling. This problem has impacts and presents uncertainties. In this first analysis the focus is on the constru ction of an efficient reduced-order model to deal with the nonlinear dynamics due to the impacts. It is important to have an efficient reduced-order model to perform the sto chastic analysis. The simplified full model is constructed using the finite element method, and th ree different bases are used to construct the reduced-order models: LIN-basis (composed by the normal modes of the associated linear problems), POD dir-basis (obtained through proper orthogonal decomposition - direct method) and POD snap -basis (obtained through proper orthogonal decomposition - snapshot method). The shapes of the elem ents of LIN-basis, POD dir-basis, and POD snap -basis are compared. One important conclusion is that the information necessary to represent the details of a vibroimpact dynamics , measured by the proper orthogonal values, is more than the usual 99% recommended. |
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