具有交叉声黑洞的超材料振动控制板的动力学分析与设计

IF 1.9 4区工程技术 Q2 ACOUSTICS

Journal of Vibration and Acoustics-Transactions of the Asme Pub Date : 2022-07-19 DOI:10.1115/1.4055029

Meng-Xin He, Q. Ding

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引用次数: 2

摘要

声黑洞在振动和噪声控制方面显示出巨大的潜力。将ABH效应与超材料相结合是一种更有效的振动控制方法。本文的目的是研究具有交叉声黑洞的超材料板的动力学。利用有限元法和Floquet-Bloch定理研究了无限结构的带隙特性及设计变量的影响。给出了有限结构的振动传递函数和频率响应函数，揭示了有限结构的减振机理。研究了弹性边界条件对超材料板振动特性的影响。数值结果表明，由于带隙和ABH效应引起的局部模态，振动明显减弱。然后利用3D打印技术进行了实验验证。最后，研究了ABH板的多目标优化设计问题，以同时减小振动幅值和结构质量。优化结果为超材料板在轻量化设计和减振能力之间的权衡设计提供了更多的选择。

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Dynamic analysis and design of metamaterial plates with crossed acoustic black holes for vibration control

Acoustic black holes (ABH) have shown great potential in vibration and noise control. Merging the ABH effect and the metamaterial can be a more efficient approach for vibration control. The aim of this paper is to study the dynamics of a metamaterial plate with crossed acoustic black holes. The band gap properties of the infinite structure and the influence of the design variables are investigated by using the finite element method and the Floquet-Bloch theorem. The vibration transmission and frequency response functions of the finite structure are presented to reveal the vibration attenuation mechanism. The effect of elastic boundary conditions on the vibration properties of the metamaterial plate is also studied. Numerical results demonstrate that the vibration is remarkably weakened due to the band gap and local modes induced by the ABH effect. Then, experimental validation is given by using 3D printing techniques. Finally, we study the multi-objective optimal design problem of the ABH plate to reduce the vibration amplitude and the structural mass simultaneously. Optimization results provide more options for the trade-off design of metamaterial plates between the lightweight design and vibration suppression capability.

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来源期刊

Journal of Vibration and Acoustics-Transactions of the Asme 工程技术-工程：机械

CiteScore

4.20

自引率

11.80%

发文量

审稿时长

7 months

期刊介绍： The Journal of Vibration and Acoustics is sponsored jointly by the Design Engineering and the Noise Control and Acoustics Divisions of ASME. The Journal is the premier international venue for publication of original research concerning mechanical vibration and sound. Our mission is to serve researchers and practitioners who seek cutting-edge theories and computational and experimental methods that advance these fields. Our published studies reveal how mechanical vibration and sound impact the design and performance of engineered devices and structures and how to control their negative influences. Vibration of continuous and discrete dynamical systems; Linear and nonlinear vibrations; Random vibrations; Wave propagation; Modal analysis; Mechanical signature analysis; Structural dynamics and control; Vibration energy harvesting; Vibration suppression; Vibration isolation; Passive and active damping; Machinery dynamics; Rotor dynamics; Acoustic emission; Noise control; Machinery noise; Structural acoustics; Fluid-structure interaction; Aeroelasticity; Flow-induced vibration and noise.