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Evaluation of continuous modelings for the modulated vibration modes of long repetitive structures |
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| Institution: | 1. Laboratoire de physique et mécanique des matériaux, Université Paul Verlaine-Metz, UMR CNRS 7554, ISGMP, Ile du Saulcy, 57045, Metz, France;2. Laboratoire du calcul scientifique en mécanique, Faculté des Sciences Ben M’sik, Université Hassan II-Mohammedia, Casablanca, Morocco |
| Abstract: | The aim of this paper is to evaluate a recently proposed continuous modeling for the modulated vibrations modes of long periodic structures. We describe an asymptotic two-scale method to study free vibrations of this type of structures in two cases: beam bending theory and 2D elasticity. A validation of the two proposed continuous modelings is presented and a comparison between 1D and 2D approach is given. |
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