Discrete and continuous aspects of some metamaterial elastic structures with band gaps
| Autor: | Luca Placidi, Mohammed Galal El Sherbiny |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Timoshenko beam theory
Physics Band gap Frequency band Mechanical Engineering Mathematical analysis Metamaterial 02 engineering and technology 021001 nanoscience & nanotechnology Vibration symbols.namesake Resonator 020303 mechanical engineering & transports Amplitude 0203 mechanical engineering Euler's formula symbols 0210 nano-technology |
| Zdroj: | Archive of Applied Mechanics. 88:1725-1742 |
| ISSN: | 1432-0681 0939-1533 |
| DOI: | 10.1007/s00419-018-1399-1 |
| Popis: | We study three different 1D continuous models (extensional rods, Euler and Timoshenko beams) for addressing the dynamic properties of those microstructural materials containing a density of resonators. These models correspond to metamaterials which show interesting properties: In particular, the property that is the objective of this paper is the capacity of eliminating the vibration amplitude in a specific frequency range, which is called hereinafter band gap. The simplicity of these models emphasizes those microstructural properties having a relation with the band gap. We show that the rigidity of the hosting structure does not affect the values of the frequency band gap; it affects only the distance between the load-source of vibration and those points where the amplitude attenuation is visible. We also study, from a numerical point of view and using the Euler beam as the hosting structure, the case of a finite number of resonators. In particular, we study the minimum number of resonators which provides the same band gap as in the case of the presence of a density of resonators. We finally perform a numerical study on a periodic 2D elastic structure, which behaves like the Timoshenko beam model and for which an identification procedure is given. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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