新型二维声子晶体带隙特性及调控方法研究  

Research on band gap characteristics and regulation method of new two-dimensional phonon crystals

作　　者：胡启国[1] 胡皓 魏晨 胡豁然 HU Qiguo;HU Hao;WEI Chen;HU Huoran(School of Mechatronics and Vehicle Engineering,Chongqing Jiaotong University,Chongqing 400074,China;Information and Communication Branch,State Grid Chongqing Electric Power Company,Chongqing 401120,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]国网重庆市电力公司信息通信分公司,重庆401120

出　　处：《大连理工大学学报》2025年第1期48-55,共8页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(51375519);重庆市基础科学与前沿技术研究专项基金资助项目(cstc2015jcyjBX0133).

摘　　要：为拓宽声子晶体弹性波带隙,提出一种关于基体双侧对称的声子晶体结构模型.采用有限元法计算了该声子晶体的能带结构和本征模态,基于局域共振机理深入分析了其带隙的形成机理,通过改变几何参数及施加等轴预拉伸应变的方法对该声子晶体的带隙进行被动调控与主动调控.仿真结果表明:所提声子晶体结构基体中的长波行波与振子的谐振相互耦合作用产生一条局域共振带隙,通过优化几何参数可以获得起始频率更低的宽频带隙,对结构施加等轴预拉伸应变可以有效拓宽带隙且带隙宽度随着预拉伸应变的增大而变宽.研究结果为声子晶体的带隙主动调控提供了方案,为结构减振降噪提供了新思路.In order to widen the band gap of phonon crystal elastic wave,a phonon crystal structure model with symmetry on both sides of the substrate is proposed.The energy band structure and intrinsic mode of the phonon crystal are calculated by finite element method.Based on the local resonance mechanism,the formation mechanism of the band gap is deeply analyzed.The band gap of the phonon crystal is passively and actively regulated by changing geometric parameters and applying isometric pre-tension strain.The simulation results show that a local resonance band gap is generated by the coupling of long-wave traveling wave and resonance of the oscillator in the phonon crystal structure substrate.A wider frequency band gap with lower initial frequency can be obtained by optimizing geometric parameters.The band gap can be effectively broadened by applying isometric pre-tension strain to the structure and the band gap width increases with the increase of the pre-tension strain.The research results provide a scheme for active band gap regulation of phonon crystals as well as a new idea for structure vibration and noise reduction.

关 键 词：声子晶体 带隙特性 带隙调控 预拉伸应变 

分 类 号：TB535[理学—物理]