南京大学学报(自然科学版) ›› 2015, Vol. 51 ›› Issue (7): 10–.

• • 上一篇    下一篇

气球状声学超材料软质共振单元研究

欧阳溯源,孟 杨,景晓东*   

  • 出版日期:2015-12-27 发布日期:2015-12-27
  • 作者简介:(北京航空航天大学能源与动力工程学院,北京,100191)
  • 基金资助:

    基金项目:国家重大基础研究项目 (2012CB720200)

    收稿日期:2015-06-30

    *通讯作者, E-mail:jingxd@buaa.edu.cn

Investigation of a balloon-like soft resonator for negative-bulk-modulus acoustic metamaterials

Oyang Suyuan, Meng Yang, Jing Xiaodong*   

  • Online:2015-12-27 Published:2015-12-27
  • About author: (Fluid and Acoustic Engineering Laboratory, School of Energy and Power Engineering, Beihang University, Beijing 100191)

摘要: 在声学超材料的发展中,单极子局域共振是实现负体积模量的重要途径。本文为实现理想的单极子共振,设计了一种气球状软质共振单元。利用声学有限元方法模拟了这种软质共振单元对平面入射波的控制特性,并计算了其声学等效负参数。在波导管中用两种不同壁厚的小气球作为简易试样,测量了传声损失和等效参数。数值模拟和实验吻合,结果表明软质共振单元可有效阻隔波长远大于其特 [1]征尺寸的声波,产生显著的带隙现象。在与带隙对应的频率段,等效体积模量出现明显的负值区间;而等效质量密度则基本保持不变,反映出典型的单极子特性。此外,这种轻质共振单元无需依靠基材产生共振,可直接在空气中布成稀疏阵列来控制声波,并可通过改变球膜的材料和厚度进行调频。从而为构建三维声学超材料提供了一种新的亚波长结构。

Abstract: Monopolar resonance is of fundamental importance for the realization of negative effective bulk modulus in the context of acoustic metamaterials. A kind of balloon-like soft resonator (SR) is developed to achieve the omnidirectional oscillation. Finite element method is used to simulate the acoustical response of an SR interacting with planar incident sound wave. Two kinds of toy balloons are conveniently employed in the proof-of-concept experiment in a waveguide. The numerical and experimental results that are in excellent agreement, showing that there occurs a band gap where transmission exhibits a significant dip, and the effective bulk modulus shows a prominent negative band while the effective mass density remains unchanged. The SR can be used to construct lightweighted crystal-like array of low filling ratio in the air, without the need of base materials; and it also has more flexibility in tuning the resonance by adjusting the thickness and density of the membrane shell. Evidently, the SR suits to build 3D acoustic metamaterials as a new means of creating negative modulus

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