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Research Papers

Thermal Tuning of Band Structures in a One-Dimensional Phononic Crystal

[+] Author and Article Information
Zuguang Bian

e-mail: bzg@nit.net.cn

Wei Peng

Ningbo Institute of Technology,
Zhejiang University,
Ningbo 315100, China

Jizhou Song

Department of Mechanical and
Aerospace Engineering,
University of Miami,
Coral Gables, FL 33146
e-mail: jsong8@miami.edu

1Corresponding author.

Manuscript received June 4, 2013; final manuscript received July 5, 2013; accepted manuscript posted July 29, 2013; published online September 23, 2013. Editor: Yonggang Huang.

J. Appl. Mech 81(4), 041008 (Sep 23, 2013) (8 pages) Paper No: JAM-13-1225; doi: 10.1115/1.4025058 History: Received June 04, 2013; Revised July 05, 2013; Accepted July 29, 2013

Phononic crystals make the realization of complete acoustic band gaps possible, which suggests many applications such as vibration isolation, noise suppression, acoustic barriers, filters, wave guides, and transducers. In this paper, an analytic model, based on the transfer matrix method, is developed to study the band structures of bulk acoustic waves including SH-, P-, and SV-waves in a one-dimensional phononic crystal, which is formed by alternating strips of two different materials. The analysis is demonstrated by the phononic crystal of Ba0.7Sr0.3TiO3 (BST) and polybutylene terephthalate (PBT), whose elastic properties depend strongly on the temperature. The results show that some band gaps are very sensitive to the temperature. Depending on the wave mode, the center frequency of the first band gap may decrease over 25% and band gap width may decrease over 60% as the temperature increases from 30 °C to 50 °C. The transmission of acoustic waves in a finite phononic crystal is also studied through the coefficient of transmission power. These results are very useful for the design and optimization of thermal tuning of phononic crystals.

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Figures

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Fig. 3

Schematic diagram of SV- and P-waves propagating in a unit cell of 1D phononic crystal

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Fig. 2

Schematic diagram of a SH-wave propagating in a unit cell of 1D phononic crystal

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Fig. 1

Schematic diagram of an infinite one-dimensional phononic crystal

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Fig. 8

The center frequencies of the first band gaps for (a) oblique incident (45 deg) SH-wave, (b) normal incident P-wave, and (c) oblique incident (45 deg) P-wave

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Fig. 9

The widths of the first band gaps for (a) oblique incident (45 deg) SH-wave, (b) normal incident P-wave, and (c) oblique incident (45 deg) P-wave

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Fig. 10

Transmission tuned by temperature for oblique incident (45 deg) P-wave at (a) f = 1.40 MHz, and (b) f = 4.28 MHz

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Fig. 4

Schematic diagram of a SH-wave propagating in a finite phononic crystal

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Fig. 5

(a) Band gap and (b) transmission power spectra at 30 °C, and (c) band gap and (d) transmission power spectra at 45 °C for oblique incident (45 deg) SH-wave

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Fig. 6

(a) Band gap and (b) transmission power spectra at 30 °C, and (c) band gap and (d) transmission power spectra at 45 °C for normal incident P-wave

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Fig. 7

(a) Band gap and (b) transmission power spectra at 30 °C, and (c) band gap and (d) transmission power spectra at 45 °C for oblique incident (45 deg) P-wave

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