悬臂梁式局域共振单元的弹性波带隙特性研究  

Study on vibration bandgap characteristics of a cantilever beam type local resonance unit

作　　者：孙旭阳 王中 周景军 王谦 徐靖鉴 SUN Xuyang;WANG Zhong;ZHOU Jingjun;WANG Qian;XU Jingjian(The 705 Research Institute,China State Shipbuilding Corporation Limited,Xi′an 710077,China;School of Aeronautics,Northwestern Polytechnical University,Xi′an 710072,China)

机构地区：[1]中国船舶集团有限公司第七〇五研究所,陕西西安710077 [2]西北工业大学航空学院,陕西西安710072

出　　处：《西北工业大学学报》2024年第4期643-651,共9页Journal of Northwestern Polytechnical University

摘　　要：提出了一种由通孔悬臂梁和质量块组成的新型声子晶体构型,并对包含该构型的二维周期阵列板的带隙特性进行了数值分析和实验验证。结果表明,所提出结构中存在多条弯曲波带隙,其形成机理是由于基体中弹性波与局域共振结构谐振特性发生耦合,且带隙的宽度与耦合强度相关,进一步研究发现模态有效质量占比是模态是否产生带隙的一个考量标准。同时,研究了局域共振单元的晶胞常数和几何参数对带隙的调控规律。基于以上研究,通过改进原始局域共振结构,得到了更加丰富的带隙特征,为宽频带隙的设计提供了一种可行的思路。通过仿真计算和实验得到了有限周期结构板的振动传递率,其衰减频段与带隙范围基本吻合,表明了该结构具有良好的低频减振性能,且结构简单,在减振降噪领域具有广阔的工程应用前景。This article proposes a novel phononic crystal configuration consisting of a through-hole cantilever beam and a mass block,and conducts numerical analysis and experimental verification on the bandgap characteristics of a two-dimensional periodic array plate containing this configuration.The results indicate that there are multiple bending wave band gaps in the proposed structure,and the formation of the bandgap is due to the coupling between elastic waves in the matrix and the resonance characteristics of the local resonant structure.The width of the bandgap is related to the coupling strength.Further research has also found that the proportion of effective mass of the mode is a criterion for determining whether the mode generates a bandgap.At the same time,the regulation of band gaps by the cell constants and geometric parameters of local resonance units was studied.Based on the above research,by improving the original local resonance structure,more abundant bandgap features were obtained,providing a feasible approach for the design of broadband bandgaps.Finally,the vibration transmission rate of the finite period structural plate was obtained through simulation calculations and experiments,and its attenuation frequency band was basically consistent with the bandgap range,indicating that the structure has good low-frequency vibration reduction performance,which has broad engineering application prospects in the field of vibration and noise reduction.

关 键 词：超材料 局域共振 振动控制 带隙机理 

分 类 号：TB535.1[理学—物理]