附着式局域共振声子晶体薄板的带隙解析解

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Abstract Phononic crystal is a kind of composite vibration-reduction material with metamaterial characteristics, and its band gap calculation has always been a hot research topic. At present, the main calculation methods are numerical methods. The band gap range depends on system parameters selection. Band gap design can only adopt parameter trial and error or optimization methods. For the above problems, the analytical solution of system vibration displacement was obtained according to the dynamic equation of locally resonance phononic crystal(LR PC) thin plate. On this basis, according to impedance concept, band gap formation mechanism was explained, system damping influence on the band gap was discussed, and band gap analytical solution under undamped conditions was obtained, which were consistent with finite element method and plane wave expansion method. Using this band gap analytical solution, designing band gap of LR PC thin plate can be convenient, which provides a new method for phononic crystal research and application.

Key words： phononic crystal thin plate locally resonant band gap analytical solution

Received: 29 December 2020 Published: 28 April 2022

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	Articles by authors
	YANG Wen
	CHEN Kailun
	GUO Xu
	CHEN Zeyu
	LIU Changli

Cite this article:

YANG Wen,CHEN Kailun,GUO Xu, et al. Analytical solution of band gap in an attached locally resonant phononic crystal thin plate[J]. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(8): 238-243.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2022/V41/I8/238

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