受时空调制电网控制的动态声子晶体  

Dynamic phononic crystals with spatially and temporally modulated circuit networks

作　　者：吴谦 钱泓桦 陈洋洋 黄国良 Qian Wu;Honghua Qian;Yangyang Chen;Guoliang Huang(Department of Mechanical and Aerospace Engineering,University of Missouri,Columbia,Missouri 6521l,USA;Department of Mechanical and Aerospace Engineering,The Hong Kong University of Science and Technology,Clear Water Bay,HongKong 999077,China)

机构地区：[1]Department of Mechanical and Aerospace Engineering,University of Missouri,Columbia,Missouri 6521l,USA [2]Department of Mechanical and Aerospace Engineering,The Hong Kong University of Science and Technology,Clear Water Bay,HongKong 999077,China

出　　处：《Acta Mechanica Sinica》2023年第7期71-82,共12页力学学报（英文版）

基　　金：supported by the Air Force Office of Scientific Research(Grant No.9550-20-1-0279)with Program Manager Dr.Byung-Lip(Les)Lee and NSF CMMI,USA(Grant No.1930873).

摘　　要：宽频弹性波衰减技术在现代工程应用中有不可或缺的地位.本文提出了一种基于时间/空间调制电网和压电材料的动态声子晶体并进行了实验验证.该动态声子晶体可以在多频带上实现对弯曲波传输的衰减,并对衰减频带进行调控.压电分流电路为机械模态和电模态提供了能量交换的同时也产生了布拉格带隙.该动态声子晶体仅需对电网进行时间/空间调制以实现可调制的宽频带弯曲波衰减.其中,通过对电网进行空间调制可实现两条布拉格带隙从而扩大了机电耦合以及弯曲波衰减的频率范围.另一方面,时间调制使机电耦合的模态频率产生线性平移从而生成了多条时间-布拉格带隙.更重要的是,本文提供了一种简易的弯曲波带隙调谐方式,即只对单一电阻进行控制.相关实验也进一步验证了时间/空间调制对弯曲波传输的影响.该动态声子晶体可以为下一代可调谐的多频带滤波器等设备提供新思路.Elastic wave mitigation covering multiple broad bands is highly demanded for modern applications in wave control.Here,we report both theoretically and experimentally on the complete investigation of a series of dynamic phononic crystal beams integrated with circuit networks decorated with both spatial and temporal modulation.They are capable of practicing multi-band flexural wave mitigation with convenient tunability and broadband operability.The electromechanical interaction through piezoelectric shunts allows for energy exchange between electrical and mechanical modes and gives rise to Bragg forbidden bands.The key contribution of this work lies in the inclusion of spatial and temporal modulation that is applied solely in circuit networks and improves wave mitigation abilities in terms of operable frequency range.Specifically,the spatial modulation of circuit network effectively broadens the wave attenuation band by creating space-Bragg forbidden bands for electrical modes and thus extending the electromechanical coupling range.The temporal modulation,on the other hand,generates time-Bragg band gaps by linearly translating the fundamental electromechanical mode in terms of frequency.More importantly,both seemingly complicated approaches are simply based on the convenient tuning of a single resistor in the circuit network.This advantage later facilitates the experimental evidences of the transmission characteristics of the spatially and temporally modulated configurations.We believe the dynamic phononic crystals are highly promising for the next-generation applications such as tunable multi-band filters.

关 键 词：多频带 时间调制 频率范围 声子晶体 空间调制 机电耦合 波传输 可调谐 

分 类 号：TB30[一般工业技术—材料科学与工程]