Tunable low frequency band gaps and sound transmission loss of a lever-type metamaterial plate

doi:10.1007/s10483-022-2890-9

Applied Mathematics and Mechanics (English Edition) ›› 2022, Vol. 43 ›› Issue (8): 1145-1158.doi: https://doi.org/10.1007/s10483-022-2890-9

• 论文 • 下一篇

Tunable low frequency band gaps and sound transmission loss of a lever-type metamaterial plate

Wenzheng QUE, Xiaodong YANG, Wei ZHANG

Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, China

收稿日期:2022-03-21 修回日期:2022-05-24 出版日期:2022-08-01 发布日期:2022-07-27
通讯作者: Xiaodong YANG, E-mail: jxdyang@163.com
基金资助:
the National Natural Science Foundation of China (No. 11972050)

Tunable low frequency band gaps and sound transmission loss of a lever-type metamaterial plate

Wenzheng QUE, Xiaodong YANG, Wei ZHANG

Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, China

Received:2022-03-21 Revised:2022-05-24 Online:2022-08-01 Published:2022-07-27
Contact: Xiaodong YANG, E-mail: jxdyang@163.com
Supported by:
the National Natural Science Foundation of China (No. 11972050)

摘要/Abstract

摘要： A novel metamaterial plate with subwavelength lever-type resonators is proposed to obtain low frequency broadband band gaps and good sound insulation performance. The band structure is theoretically derived, and the validity of the theoretical method is verified by the finite element method. The formation mechanisms of the band gaps are illustrated by the analysis of the effective dynamic mass density and group velocity. The effect of the lever ratio on the band gaps is analyzed. The results indicate that as the lever ratio increases, the first band gap shifts to lower frequencies, while the bandwidth is widened. Moreover, the sound insulation performance of the proposed metamaterial plate is evaluated via examining the sound transmission loss (STL). Compared with the metamaterial plates without lever accessories, the proposed metamaterial plates with a suitable lever ratio have better sound insulation performance at low frequencies.

关键词: tunable band gap, metamaterial plate, lever-type resonator, low frequency broadband, sound transmission loss (STL)

Abstract: A novel metamaterial plate with subwavelength lever-type resonators is proposed to obtain low frequency broadband band gaps and good sound insulation performance. The band structure is theoretically derived, and the validity of the theoretical method is verified by the finite element method. The formation mechanisms of the band gaps are illustrated by the analysis of the effective dynamic mass density and group velocity. The effect of the lever ratio on the band gaps is analyzed. The results indicate that as the lever ratio increases, the first band gap shifts to lower frequencies, while the bandwidth is widened. Moreover, the sound insulation performance of the proposed metamaterial plate is evaluated via examining the sound transmission loss (STL). Compared with the metamaterial plates without lever accessories, the proposed metamaterial plates with a suitable lever ratio have better sound insulation performance at low frequencies.

Key words: tunable band gap, metamaterial plate, lever-type resonator, low frequency broadband, sound transmission loss (STL)

中图分类号:

74H45
74K20

Wenzheng QUE, Xiaodong YANG, Wei ZHANG. Tunable low frequency band gaps and sound transmission loss of a lever-type metamaterial plate[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(8): 1145-1158.

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Tunable low frequency band gaps and sound transmission loss of a lever-type metamaterial plate

Tunable low frequency band gaps and sound transmission loss of a lever-type metamaterial plate

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