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Research Papers

Underwater Acoustic Manipulation Using Solid Metamaterials With Broadband Anisotropic Density

[+] Author and Article Information
Jianzhu Dong, Yuchen Zhao, Yong Cheng

Key Laboratory of Dynamics
and Control of Flight Vehicle,
Ministry of Education and School
of Aerospace Engineering,
Beijing Institute of Technology,
Beijing 100081, China

Xiaoming Zhou

Key Laboratory of Dynamics
and Control of Flight Vehicle,
Ministry of Education and School
of Aerospace Engineering,
Beijing Institute of Technology,
Beijing 100081, China
e-mail: zhxming@bit.edu.cn

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received July 3, 2018; final manuscript received August 23, 2018; published online September 14, 2018. Assoc. Editor: Yashashree Kulkarni.

J. Appl. Mech 85(12), 121007 (Sep 14, 2018) (8 pages) Paper No: JAM-18-1383; doi: 10.1115/1.4041318 History: Received July 03, 2018; Revised August 23, 2018

A new type of all-solid metamaterial model with anisotropic density and fluid-like elasticity is proposed for controlling acoustic propagation in an underwater environment. The model consists of a regular hexagonal lattice as the host that defines the overall isotropic stiffness, in which all lattice beams have been sharpened at both ends to significantly diminish the shear resistance. The inclusion structure, which involves epoxy, rubber, and lead material constituents, is designed to attain a large density–anisotropy ratio in the broad frequency range. The wave-control capability of metamaterials is evaluated in terms of underwater acoustic stretching, shifting, and ground cloaking, which are generated by the transformation acoustic method. The decoupling design method was developed for the metamaterial microstructure using band-structure, effective-medium, and modal-field analyses. The acoustic performance of these metamaterial devices was finally verified with full-wave numerical simulations. Our study provides new insight into broadband underwater acoustic manipulation by all-solid anisotropic-density metamaterials.

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Figures

Grahic Jump Location
Fig. 1

The metamaterial model with broadband anisotropic density and fluid-like elasticity

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Fig. 2

(a) Coordinate grid of the stretching transformation and (b) schematic profile of the wave-stretching device assembled by metamaterial cells; (c) band diagrams, (d) effective densities, and (e) effective stiffness parameters of the wave-stretching metamaterials

Grahic Jump Location
Fig. 3

The modal displacement fields of (a) LX and (b) LY branches in Fig. 2(c) at the frequency of 3.5 kHz

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Fig. 4

The average shear stiffness c44 of the wave-stretching metamaterial over the frequency band ∼2.5–4.0 kHz for various connection thickness ts/t values

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Fig. 5

Sound transmission spectrum of the wave-stretching metamaterial at incident angles of 0 deg, 15 deg, 30 deg, 45 deg. The pressure field distributions of sounds normally impacting the metamaterial at a frequency of 3.5 kHz are shown in the inset.

Grahic Jump Location
Fig. 6

Acoustic-shifting transformation results, which are similar to those in Fig. 2

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Fig. 7

The modal displacement fields of (a) LX and (b) LY branches in Fig. 6(c) at a frequency of 2.5 kHz

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Fig. 8

Pressure field distributions produced by a line source of operating frequency of 3.0 kHz, placed on the left side of (a) the ideal homogeneous wave-shifting material and (b) the structured metamaterial device

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Fig. 9

Acoustic ground cloaking transformation results, which are similar to those in Fig. 2

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Fig. 10

Simulated pressure field distributions of a Gaussian beam operating at 3.0 kHz and incident at an angle of 45 deg on (a) the ground plane, (b) the rigid triangular object on the ground, and (c) the object covered by the ideal homogeneous cloak. Acoustic performance simulation results of the metamaterial ground cloaking device at frequencies (d) 3.0 kHz and (e) 4.0 kHz.

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