The TR-BDF2 method for second order problems in structural mechanics
The application of the TR-BDF2 method to second order problems typical of structural mechanics and seismic engineering is discussed. A reformulation of this method is presented, that only requires the solution of algebraic systems of size equal to the number of displacement degrees of freedom. A lin...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:dnet:idus________::4b6fc52c5c7c84f0f006d3a3759e910e |
| Acceso en línea: | https://hdl.handle.net/11441/186438 https://doi.org/10.1016/j.camwa.2021.03.037 |
| Access Level: | acceso abierto |
| Palabra clave: | Structural dynamics Highly oscillatory problems Newmark method Diagonally implicit Runge Kutta methods TR-BDF2 method |
| Sumario: | The application of the TR-BDF2 method to second order problems typical of structural mechanics and seismic engineering is discussed. A reformulation of this method is presented, that only requires the solution of algebraic systems of size equal to the number of displacement degrees of freedom. A linear analysis and numerical experiments on relevant benchmarks show that the TR-BDF2 method is superior in terms of accuracy and efficiency to the classical Newmark method and to its generalizations. |
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