Computation of the elastic wave band structures and transmission in pre-deformed periodic frame structures by SEM
| Autor: | Mellmann, Marius, Perras, Elias, Zhang, Chuanzeng |
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| Přispěvatelé: | Universität Siegen [Siegen] |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Forum Acusticum Forum Acusticum, Dec 2020, Lyon, France. pp.1117-1123, ⟨10.48465/fa.2020.0358⟩ |
| DOI: | 10.48465/fa.2020.0358⟩ |
| Popis: | International audience; Periodic materials and structures, such as phononic and photonic crystals, are becoming increasingly popular in many engineering fields. For instance, the phononic crystals (PCs) can manipulate the elastic and acoustic wave propagation characteristics [1]. In particular, it is possible to generate the so-called band-gaps, which are certain frequency ranges, in which the propagation of elastic or acoustic waves is prohibited. The wave propagation properties can be tuned by changing the topology, the density and the stiffness of the structural components or by adding certain local resonators. Regarding periodic frame structures, it is also possible to manipulate the vibration and elastic wave propagation properties by pre- deforming the structural members [2]. In this study, the complex band structures of the pre-deformed periodic frame structures are calculated by using the Spectral Element Method [3]. Instead of solving the traditional eigenvalue problem ω(k), where the eigenfrequencies ω are calculated for a given set of the Bloch wave vector k, the inverse problem k(ω) is considered. Unlike the traditional approach, the inverse problem gives rise to complex values of the Bloch wave vector. Thus, the complex band structures can be obtained, which provide valuable information about the evanescent behavior of the Bloch waves. Subsequently, the evanescent behavior of the Bloch waves is investigated by calculating and evaluating the elastic wave transmission spectra of the finite pre- deformed periodic frame structures. [1] Diaz, AR.; Haddow, AG.; Ma, L. Design of band-gap grid structures, Structural and Multidisciplinary Optimization, Vol 29, 2005, p. 418-431. [2] Mellmann, M.; Zhang, C. Tuning of vibration and wave propagation characteristics in pre-deformed periodic lattice frame structures, Proceedings in Applied Mathematics & Mechanics 2019, Vol 19(1), 2019. [3] Lee, U. Spectral Element Method in Structural Dynamics, John Wiley & Sons (Asia) Pte Ltd, Singapore (Republic of Singapore), 1. Edition, 2009. |
| Databáze: | OpenAIRE |
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