类星型手性超材料超宽带隙特性研究  

Study on the ultra-wide band gap characteristics of novel star-shaped chiral metamaterials

作　　者：王硕[1] 燕群[2] 延浩 孙永涛 王安帅 张昭展 丁千[1] 王梁[1] WANG Shuo;YAN Qun;YAN Hao;SUN Yongtao;WANG Anshuai;ZHANG Zhaozhan;DING Qian;WANG Liang(Tianjin Key Laboratory of Nonlinear Dynamics and Control,Tianjin University,Tianjin 300350,China;Key Laboratory of Aeronautical Science and Technology for Aeroacoustics and Vibration,Aircraft Strength Research Institute of China,Xi’an 710065,China)

机构地区：[1]天津大学天津市非线性动力学与控制重点实验室,天津300350 [2]中国飞机强度研究所航空声学与振动航空科技重点实验室,西安710065

出　　处：《航空工程进展》2024年第5期179-190,共12页Advances in Aeronautical Science and Engineering

基　　金：国家自然科学基金(12372019,12072222,12132010,12021002,11991032);航空科学基金(ASFC-201915048001);机械结构强度与振动国家重点实验室开放课题(ASSIKFJJ202303002);交通工程结构力学行为与系统安全国家重点实验室开放课题(SKLTESKF1901)。

摘　　要：振动和噪声的抑制一直是工程中的重要问题,而超材料在实现减振降噪方面具有良好的应用价值。基于传统空心星型超材料,添加手性结构特性,设计一种新型的空心类星型手性超材料,并在其基础上进一步演化出实心类星型手性超材料。通过振动模态分析带隙产生机理和不同结构参数对带隙的影响,通过频散曲面、波传播方向、群速度和相速度等研究弹性波在结构中的传播特性,并研究有限周期结构的传输特性。结果表明:实心类星型手性超材料可以产生宽度为5116 Hz的超宽带隙,带隙形成主要是由于凹角星和韧带的旋转振动耗散了弹性波能量,内凹角α的减小以及韧带与水平方向的夹角θ的增大使得最宽带隙的宽度增大;有限周期结构在其带隙范围内可以产生明显的位移幅值衰减,该新型超材料具有良好的隔振性能。The suppression of vibration and noise has always been an important issue in engineering,and metamate-rials have shown significant application value in vibration and noise reduction.In this paper,a novel hollow star-shaped chiral metamaterial is designed by incorporating chiral structural characteristics into traditional hollow star-shaped metamaterials and further evolves it into a solid star-shaped chiral metamaterial.The bandgap formation mechanism is analyzed through vibration mode analysis,and the effects of different structural parameters on the bandgap are studied.The propagation characteristics of elastic waves in the structure are investigated through dis-persion surfaces,wave propagation direction,group velocity,and phase velocity.Finally,the transmission charac-teristics of finite periodic structures are studied.The results show that the solid star-shaped chiral metamaterial can generate an ultra-wide bandgap with a width of 5116 Hz.The bandgap formation is mainly due to the rotational vi-brations of the concave stars and ligaments dissipating the energy of elastic waves.Additionally,a decrease in the inner concave angleαand an increase in the angleθbetween the ligaments and the horizontal direction result in a wider largest bandgap.The finite periodic structure can generate significant displacement amplitude attenuation within the bandgap range.This novel metamaterial has excellent vibration isolation performance.

关 键 词：超材料 超宽带隙 群速度 相速度 振动抑制 

分 类 号：V250.3[一般工业技术—材料科学与工程]