Optimal geometric parameters for a double panel structure with low frequency forbidden characteristics

被引:12
作者
Ma, Xingfu [1 ]
Xiang, Hang [1 ]
Yang, Xiane [1 ]
Xiang, Jiawei [1 ]
机构
[1] Wenzhou Univ, Coll Mech & Elect Engn, Wenzhou 325035, Peoples R China
基金
中国国家自然科学基金;
关键词
Locally resonant phononic crystal; Double panel structure; Low frequency; Response surface method; Terminating frequency;
D O I
10.1016/j.apacoust.2021.107944
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this paper, a locally resonant phononic crystal (LRPC) double panel structure with optimal geometric parameters is investigated. The present LRPC structure can open band gaps (BGs) with low frequency forbidden characteristics. The effects of several parameters such as the thickness of steel and aluminum plates, the width of elastic beams, the side length and height of cuboid scatterer onto BGs are analyzed. The thickness of the steel and aluminum plates as well as the width of elastic beams is identified to be the most influential factors on BGs. Seventy-seven experimental runs based on the three-factor and seven-level experimental design are performed to complete response surface analysis, three functional relationships are obtained between the three-factor and the terminating frequency of the second BG, the bandwidth of the first BG, and the bandwidth of the second BG. Additionally, the interior point method is also applied to optimize the closed-form expressions of functional relationships to obtain the optimal LRPC double panel structure with the low-frequency forbidden properties from 90 Hz to 250 Hz. (C) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数:8
相关论文
共 30 条
[1]   Positive, negative, zero refraction, and beam splitting in a solid/air phononic crystal: Theoretical and experimental study [J].
Bucay, J. ;
Roussel, E. ;
Vasseur, J. O. ;
Deymier, P. A. ;
Hladky-Hennion, A-C. ;
Pennec, Y. ;
Muralidharan, K. ;
Djafari-Rouhani, B. ;
Dubus, B. .
PHYSICAL REVIEW B, 2009, 79 (21)
[2]   Research on bandgaps in two-dimensional phononic crystal with two resonators [J].
Gao, Nansha ;
Wu, Jiu Hui ;
Yu, Lie .
ULTRASONICS, 2015, 56 :287-293
[3]   Broadband locally resonant sonic shields [J].
Ho, KM ;
Cheng, CK ;
Yang, Z ;
Zhang, XX ;
Sheng, P .
APPLIED PHYSICS LETTERS, 2003, 83 (26) :5566-5568
[4]   Modeling of Lamb wave propagation in plate with two-dimensional phononic crystal layer coated on uniform substrate using plane-wave-expansion method [J].
Hou, Zhilin ;
Assouar, Badreddine A. .
PHYSICS LETTERS A, 2008, 372 (12) :2091-2097
[5]   Efficient formulation for band-structure calculations of two-dimensional phononic-crystal plates [J].
Hsu, Jin-Chen ;
Wu, Tsung-Tsong .
PHYSICAL REVIEW B, 2006, 74 (14)
[6]   Transmission and radiation of acoustic oblique incident through tube arrays based on phononic crystals theory [J].
Jiang, Genshan ;
Liu, Yuechao ;
Wu, Yapan ;
Xu, Weilong ;
Kong, Qian ;
Zhang, Chun .
APPLIED ACOUSTICS, 2017, 116 :117-126
[7]   Tunable phononic structures using Lamb waves in a piezoceramic plate [J].
Kherraz, N. ;
Chikh-Bled, F-H ;
Sainidou, R. ;
Morvan, B. ;
Rembert, P. .
PHYSICAL REVIEW B, 2019, 99 (09)
[8]   THEORY OF ACOUSTIC BAND-STRUCTURE OF PERIODIC ELASTIC COMPOSITES [J].
KUSHWAHA, MS ;
HALEVI, P ;
MARTINEZ, G ;
DOBRZYNSKI, L ;
DJAFARIROUHANI, B .
PHYSICAL REVIEW B, 1994, 49 (04) :2313-2322
[9]   ACOUSTIC BAND-STRUCTURE OF PERIODIC ELASTIC COMPOSITES [J].
KUSHWAHA, MS ;
HALEVI, P ;
DOBRZYNSKI, L ;
DJAFARIROUHANI, B .
PHYSICAL REVIEW LETTERS, 1993, 71 (13) :2022-2025
[10]   The band gap and transmission characteristics investigation of local resonant quaternary phononic crystals with periodic coating [J].
Liu, Mao ;
Xiang, Jiawei ;
Zhong, Yongteng .
APPLIED ACOUSTICS, 2015, 100 :10-17