On the control of the first Bragg band gap in periodic continuously corrugated beam for flexural vibration - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Sound and Vibration Année : 2019

On the control of the first Bragg band gap in periodic continuously corrugated beam for flexural vibration

(1) , (2) , (1)
1
2

Résumé

This work aims to provide better physical understanding of Bragg band gap effects in continuously periodic corrugated beams for flexural waves. The main outcome is the establishement of original algebraic formulas for the band gap width and central frequency. It is shown that the band gap width and central frequency only depend on a thickness contrast parameter. To do so, a so called two-skins geometry is proposed to approximate the usual solid beam cross section, in order to greatly simplify analytical derivations following the Plane Wave Expansion (PWE) method applied to Euler-Bernoulli theory. Theoretical predictions in the two-skins geometry successfully match the results in the practical case of a solid geometry obtained from both experiments on a beam demonstrator and numerical simulations done by classical PWE (1D Euler and Timoshenko theories) or finite element (3D elasticity theory) methods. The complete set of results is benchmarked in details so that the geometrical approximation is validated and the algebraic formulas are usable as design tools of such notch filters. Moreover, flexural and longitudinal motion coupling due to the non-symetrical thickness profile of the demonstrators leads to an additional band gap that is experimentally identified. A numerical study illustrates the resulting double filtering effect. Potential applications of the background provided by this work can concern Noise,Vibration and Harshness (NVH) engineering, for which meta-materials can be very relevant especially when structure lightening is required.
Fichier principal
Vignette du fichier
Pelat_2020_JSV_On the control of the first Bragg Band gap in periodic continuously corrugated beam for flexural vibration_preprint.pdf (5.65 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02453142 , version 1 (05-11-2020)

Licence

Paternité - CC BY 4.0

Identifiants

Citer

Adrien Pelat, Thomas Gallot, François Gautier. On the control of the first Bragg band gap in periodic continuously corrugated beam for flexural vibration. Journal of Sound and Vibration, 2019, 446, pp.249-262. ⟨10.1016/j.jsv.2019.01.029⟩. ⟨hal-02453142⟩
43 Consultations
66 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More