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Longitudinal-Twist Wave Converter based on Chiral Metamaterials

Brahim LemkalliMuamer KadicYoussef El BadriS\'ebastien GuenneauAbdellah MirYounes Achaoui
Nov 2022
摘要
Advances in material architectures have enabled endowing materials withexotic attributes not commonly available in the conventional realm ofmechanical engineering. Twisting, a mechanism whereby metamaterials are used totransform static axial load into twist motion, is of particular interest tothis study. Herein, computations based on the finite element method,corroborated by an analytical approach derived from applying Lagrange'sequations to a monoatomic spring-mass system, are employed to explore thelongitudinal-twist (L-T) conversion exhibited by a chiral tetragonal-beammetamaterial. Firstly, we perform an eigenvalue analysis taking into accountthe polarization states to highlight the potential contribution of thelongitudinal mode in the L-T conversion. We contrast the twisting behavior ofthe chiral cell with that of other homogeneous medium, octagonal-tube, andnon-chiral cells. Moreover, we demonstrate the influence of the cell'schirality on the L-T conversion using both time-domain and frequency-domainstudies. The findings indicate that at least a portion of the longitudinallypropagating wave is transformed into twist throughout a broad frequency rangeand even quasi-totally converted at distinct frequencies.
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