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| HAL: hal-00685141, version 1 |
| DOI: 10.1142/S0218396X11004481 |
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| Journal of Computational Acoustics 20, 1 (2012) 1250001-1250027 |
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| AN ADAPTIVE NUMERICAL STRATEGY FOR THE MEDIUM-FREQUENCY ANALYSIS OF HELMHOLTZ'S PROBLEM |
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Hervé Riou 1Pierre Ladevèze 1, 2 |
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| (2012-01-20) |
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| The variational theory of complex rays (VTCR) is a wave-based predictive numerical tool for medium-frequency problems. In order to describe the dynamic field variables within the substructures, this approach uses wave shape functions which are exact solutions of the governing differential equation. The discretized parameters are the number of substructures (h) and the number of wavebands (p) which describe the amplitude portraits. Its capability to produce an accurate solution with only a few degrees of freedom and the absence of pollution error make the VTCR a suitable numerical strategy for the analysis of vibration problems in the medium-frequency range. This approach has been developed for structural and acoustic vibration problems. In this paper, an error indicator which characterizes the accuracy of the solution is introduced and is used to define an adaptive version of the VTCR. Numerical illustrations are given. |
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| 1: | Laboratoire de Mécanique et Technologie (LMT) |
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CNRS : UMR8535 – Université Pierre et Marie Curie [UPMC] - Paris VI – École normale supérieure de Cachan - ENS Cachan |
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| 2: | Chaire de la Fondation EADS 'Techniques Avancées en Calcul des Structures' |
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EADS |
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| 3: | Laboratoire de Mécanique des Contacts et des Structures (LaMCoS) |
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CNRS : UMR5259 – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Subject | : | Physics/Mechanics/Vibrations Engineering Sciences/Mechanics/Vibrations Engineering Sciences/Acoustics Physics/Mechanics/Acoustics |
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| Medium-frequency – Helmholtz equation – acoustics – adaptive numerical strategy – variational theory of complex rays |
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| hal-00685141, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00685141 | |
| oai:hal.archives-ouvertes.fr:hal-00685141 | |
| From: Beatrice Faverjon | |
| Submitted on: Wednesday, 4 April 2012 11:33:59 | |
| Updated on: Wednesday, 4 April 2012 11:33:59 | |
