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Research Papers

Design of a Passive Controllable Negative Modulus Metamaterial With a Split Hollow Sphere of Multiple Holes

[+] Author and Article Information
Xiao-peng Zhao

e-mail: xpzhao@nwpu.edu.cnSmart Materials Laboratory,
Department of Applied Physics,
Northwestern Polytechnical University,
Xi'an 710129, China

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 6, 2012; final manuscript received November 8, 2012; published online June 6, 2013. Assoc. Editor: Michael Leamy.

J. Vib. Acoust 135(4), 041008 (Jun 06, 2013) (5 pages) Paper No: VIB-12-1173; doi: 10.1115/1.4023833 History: Received June 06, 2012; Revised November 08, 2012

We present a passive controllable negative modulus metamaterial based on a split hollow sphere (SHS) with multiple holes. The metamaterial is obtained by changing the number of split holes. The experimental results show that the position of one split hole does not affect the transmission dip, whereas the resonance frequency depends on the relative position of two holes. Furthermore, when the number of split holes is increased, the resonance frequency undergoes a blueshift. Simulation results via the finite element method (FEM) are in accord with experimental data. The design of a negative modulus metamaterial at an expected frequency is simple, and the proposed method is expected to provide a basis for the simultaneous control of acoustic metamaterials (AMs) through a variety of methods.

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Figures

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Fig. 1

Structural scheme of the SHS with six split holes (a), the corresponding electrical circuit analogy (b)

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Fig. 2

Structural perspective view of AMs composed of sponge substrate and the SHS with various numbers of holes along the y axis: (a) one split hole; (b) six split holes; and (c) the corresponding photograph of the fabricated metamaterials

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Fig. 3

(a) Simulated and (b) measured transmittance curves of SHS with one hole of various positions

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Fig. 4

Effective real modulus of the AM of the SHS with one hole, two holes, and three holes

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Fig. 9

(a) Simulated and (b) measured transmittance curves of the SHS with various symmetrical holes and the sponge matrix

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Fig. 8

(a) Simulated and (b) measured transmittance curves of the SHS with various asymmetrical holes

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Fig. 7

Equivalent electrical circuit of the SHS with two split holes: (a) two holes along the y and z directions and (b) two holes along the y and −y directions

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Fig. 6

Pressure field distributions of the SHS with two holes of the y and z directions at 1320 Hz (a); and the y and −y directions at 1380 Hz (b)

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Fig. 5

(a) Simulated and (b) measured transmittance curves of the SHS with two holes of various positions

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