Texto completo
Vista Previa |
PDF (Portable Document Format)
- Se necesita un visor de ficheros PDF, como GSview, Xpdf o Adobe Acrobat Reader
Descargar (862kB) | Vista Previa |
Formulation and performance of variational integrators for rotating bodies
Cita
Romero Olleros, Ignacio 
ORCID: https://orcid.org/0000-0003-0364-6969
(2008).
Formulation and performance of variational integrators for rotating bodies.
"Computational Mechanics", v. 42
(n. 6);
pp. 825-836.
ISSN 0178-7675.
https://doi.org/10.1007/s00466-008-0286-y.
ORCID: https://orcid.org/0000-0003-0364-6969
(2008).
Formulation and performance of variational integrators for rotating bodies.
"Computational Mechanics", v. 42
(n. 6);
pp. 825-836.
ISSN 0178-7675.
https://doi.org/10.1007/s00466-008-0286-y.
Descripción
| Título: | Formulation and performance of variational integrators for rotating bodies |
|---|---|
| Autor/es: |
|
| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Computational Mechanics |
| Fecha: | Noviembre 2008 |
| ISSN: | 0178-7675 |
| Volumen: | 42 |
| Número: | 6 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | Time integration, rigid body, rotations, variational method, geometric integration |
| Escuela: | E.T.S.I. Industriales (UPM) |
| Departamento: | Mecánica Estructural y Construcciones Industriales [hasta 2014] |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
Variational integrators are obtained for two mechanical systems whose configuration spaces are, respectively, the rotation group and the unit sphere. In the first case, an integration algorithm is presented for Euler’s equations of the free rigid body, following the ideas of Marsden et al. (Nonlinearity 12:1647–1662, 1999). In the second example, a variational time integrator is formulated for the rigid dumbbell. Both methods are formulated directly on their nonlinear configuration spaces, without using Lagrange multipliers. They are one-step, second order methods which show exact conservation of a discrete angular momentum which is identified in each case. Numerical examples illustrate their properties and compare them with existing integrators of the literature.
Más información
| ID de Registro: | 2547 |
|---|---|
| Identificador DC: | https://oa.upm.es/2547/ |
| Identificador OAI: | oai:oa.upm.es:2547 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/5483341 |
| Identificador DOI: | 10.1007/s00466-008-0286-y |
| URL Oficial: | http://www.springerlink.com/content/100468/ |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 15 Mar 2010 10:26 |
| Ultima Modificación: | 12 Nov 2025 00:00 |
Acciones
- Estadísticas
- Exportar cita
- Editar (sólo personal del Archivo)
