基于FGMs的声子晶体带隙调控及振动特性研究  

Investigation on the tunable band-gap and vibration characteristics of phononic crystals based on FGMs

作　　者：徐庚辉 肖汉林[2] 张琳 王雨桐 张涛[1] XU Genghui;XIAO Hanlin;ZHANG Lin;WANG Yutong;ZHANG Tao(School of Naval Architecture and Ocean Engineering,Huazhong University of Science and Technology,Wuhan 430074,China;China Ship Development and Design Center,Wuhan 430064,China)

机构地区：[1]华中科技大学船舶与海洋工程学院,武汉430074 [2]中国舰船研究设计中心,武汉430064

出　　处：《振动与冲击》2024年第10期89-97,共9页Journal of Vibration and Shock

基　　金：基础加强计划重点基础研究项目(2020-JCJQ-ZD-222)。

摘　　要：为抑制舰艇典型板壳结构低频振动,基于局域共振理论,设计了一种悬臂式声子晶体结构,开展了数值计算并揭示带隙发生机理,探究了各尺寸参数对带隙特性的影响。同时基于功能梯度材料(functional gradient materials, FGMs)思想,提出固有频率梯度组合带隙调控方法,可有效拓宽低频带隙范围。最后,设计振动特性试验并分析误差产生的原因。结果表明:悬臂梁边长越长,带隙宽度变窄,悬臂梁宽度及厚度增加,带隙宽度变宽;固有频率梯度组合研究中,当整体固有频率变化率小于8.1%时,带隙范围有效拓宽。当相邻两者固有频率变化率大于12.27%时,可呈现多频带隙特性;增加悬臂梁安装数量可在固有频率梯度组合的基础上进一步拓宽禁带范围,该研究成果可为船舶板壳结构隔振设计提供参考。To suppress low frequency vibrations of typical plate and shell structures of ships,a cantilever beam phononic structure was designed based on the local resonance theory.The bandgap mechanism was revealed and numerical calculations were carried out to investigate the influence of dimensional parameters on the bandgap characteristics.In addition,a natural frequency gradients approach was proposed based on the functional gradient materials(FGM)method,which can effectively widen the low frequency forbidden band range.Vibration characteristics tests were designed and error reasons were analysed.The results show that:the longer the edge length of the cantilever beam,the narrower the band gap width.As the width and thickness of the cantilever beam increase,the band gap width widens.By the natural frequency gradient method,the band gap range can be effectively widened when the overall natural frequency change rate is less than 8.1%.When the change rate of adjacent natural frequencies is more than 12.27%,a multi-frequency band gap characteristic can be presented;increasing the number of cantilever beam installations can further widen the forbidden band range on the basis of the natural frequency gradient effect.The research results provide references for the vibration isolation design of ship shell structures.

关 键 词：声子晶体 薄板结构 悬臂式振子 固有频率梯度组合 振动特性试验 

分 类 号：TB535.1[理学—物理]