Ultra-wide band gap and wave attenuation mechanism of a novel star-shaped chiral metamaterial

doi:10.1007/s10483-024-3156-8

Abstract

Abstract:

A novel hollow star-shaped chiral metamaterial (SCM) is proposed by incorporating chiral structural properties into the standard hollow star-shaped metamaterial, exhibiting a wide band gap over 1500 Hz. To broaden the band gap, solid single-phase and two-phase SCMs are designed and simulated, which produce two ultra-wide band gaps (approximately 5116 Hz and 6027 Hz, respectively). The main reason for the formation of the ultra-wide band gap is that the rotational vibration of the concave star of two novel SCMs drains the energy of an elastic wave. The impacts of the concave angle of a single-phase SCM and the resonator radius of a two-phase SCM on the band gaps are studied. Decreasing the concave angle leads to an increase in the width of the widest band gap, and the width of the widest band gap increases as the resonator radius of the two-phase SCM increases. Additionally, the study on elastic wave propagation characteristics involves analyzing frequency dispersion surfaces, wave propagation directions, group velocities, and phase velocities. Ultimately, the analysis focuses on the transmission properties of finite periodic structures. The solid single-phase SCM achieves a maximum vibration attenuation over 800, while the width of the band gap is smaller than that of the two-phase SCM. Both metamaterials exhibit high vibration attenuation capabilities, which can be used in wideband vibration reduction to satisfy the requirement of ultra-wide frequencies.

Key words: metamaterial, ultra-wide band gap, wave propagation, vibration suppression

2010 MSC Number:

74H45

Shuo WANG, Anshuai WANG, Yansen WU, Xiaofeng LI, Yongtao SUN, Zhaozhan ZHANG, Qian DING, G. D. AYALEW, Yunxiang MA, Qingyu LIN. Ultra-wide band gap and wave attenuation mechanism of a novel star-shaped chiral metamaterial. Applied Mathematics and Mechanics (English Edition), 2024, 45(7): 1261-1278.

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