双侧空心不对称散射体声子晶体带隙机理  

Band Gap Characteristics of Phononic Crystals with Bilateral Asymmetric Two-dimensional Hollow Scatterers

作　　者：刘威 何泽银[1,2] 范爱军 陶平安 刘红梅 孙世政 LIU Wei;HE Zeyin;FAN Aijun;TAO Ping'an;LIU Hongmei;SUN Shizheng(School of Mechatronics and Vehicle Engineering,Chongqing Jiaotong University,Chongqing 400074,China;Chongqing Construction Automotive Systems Co.,Ltd.,Chongqing 400052,China)

机构地区：[1]重庆交通大学机电与车辆工程学院,重庆400074 [2]重庆建设汽车系统股份有限公司,重庆400052

出　　处：《硅酸盐学报》2022年第3期775-781,共7页Journal of The Chinese Ceramic Society

基　　金：国家自然科学基金项目(52005066);重庆市自然科学基金(cstc2019jcyj-msxmX0799);重庆市九龙坡科技计划项目(2020-02-001-Z)资助。

摘　　要：基于局域共振机理提出1种双侧空心不对称散射体声子晶体结构,借助有限元法,计算了双侧空心不对称散射体声子晶体能带结构、传输损失谱及本征位移场,得到了起始频率为79.4 Hz、带宽为1 065.2 Hz的超宽第1完全带隙。结合等效弹簧质量系统,分析标记点的本征位移场振动模态,揭示出新型双侧空心不对称散射体声子晶体带隙形成机理。分析了包裹层缺口角度、连接短板宽度、空心圆柱散射体高度等几何参数对第1完全带隙的影响规律,并改变声子晶体几何参数实现对带隙频率的调控。结果表明:双侧不对称二维空心散射体声子晶体第1完全带隙的起始频率有效降低至80 Hz以下,带宽超过1 000 Hz;改变声子晶体结构参数可实现局域共振与Bragg散射带隙同时存在于一种声子晶体中,为单一声子晶体同时调控低频、高频带隙提供了可能。In order to solve the problem for high initial frequency of unilateral lightweight phononic crystals, a phononic crystal structure of bilateral hollow asymmetric scatterers was proposed based on the local resonance mechanism. The energy band structure,transmission loss spectrum and intrinsic displacement field of phononic crystals with bilateral hollow asymmetric scatterers were calculated by the finite element method. The ultra-wide first complete band gap with an initial frequency of 79.4 Hz and a bandwidth of 1 065.2 Hz was obtained. Combined with an equivalent spring mass system, the vibration modes of the intrinsic displacement field of the marked points were analyzed, and the mechanism of band gap formation in phononic crystals of bilateral hollow asymmetric scatterers was revealed. Furthermore, effects of the geometric parameters such as notch angle of cladding, width of connecting short plate and height of hollow cylindrical scatterer on the first complete band gap were analyzed, and the geometric parameters of the phononic crystal were adjusted to control the band gap frequency. The results show that the initial frequency of the first complete band gap of the proposed bilateral asymmetric two-dimensional hollow scatterer phononic crystal effectively reduces to less than 80 Hz, and the bandwidth exceeds 1 000 Hz. Adjusting the structural parameters of phononic crystals can realize the coexistence of local resonance and the Bragg scattering band gap in a phononic crystal, which makes it possible for a single phononic crystal to regulate the low-frequency and high-frequency band gaps simultaneously.

关 键 词：双侧空心不对称 声子晶体 局域共振 完全带隙 低频振动控制 

分 类 号：O735[理学—晶体学] TB535[理学—物理]