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Research Papers

Evidence of Ultrasonic Band Gap in Aluminum Phononic Crystal Beam

[+] Author and Article Information
Hammouche Khales

CDTA/MEMS & Sensors Group,
Centre de Développement,
des Technologies Avancées,
Algiers 16303, Algeria
e-mail: hkhales@cdta.dz

Abdelkader Hassein-Bey

FUNDAPL,
Faculty of Sciences,
Saad Dahlab University,
Blida 09000, Algeria
e-mail: a_hassein@univ-blida.dz

Abdelkrim Khelif

FEMTO-ST Institut,
CNRS UMR 6174,
Besançon 25044,France
e-mail: abdelkrim.khelif@femto-st.fr

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 30, 2012; final manuscript received January 28, 2013; published online June 6, 2013. Assoc. Editor: Michael Leamy.

J. Vib. Acoust 135(4), 041007 (Jun 06, 2013) (4 pages) Paper No: VIB-12-1131; doi: 10.1115/1.4023827 History: Received April 30, 2012; Revised January 28, 2013

In this paper, we prove theoretically and experimentally the existence of complete ultrasonic band gap in phononic crystal beam. The phononic beam structure studied is composed of a linear lattice array of square pillars on a beam, made with aluminum-fortal easily machinable at centimetric scale. Ultrasonic characterization of phononic beam guides shows the existence of a frequency range where the transmitted signals are strongly attenuated, due to the presence of ultrasonic band gap, in agreement with theoretical results predicted by finite element simulation. These structures present a potential for the use as energy loss reduction in micromechanical resonators at high frequency regime.

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Figures

Grahic Jump Location
Fig. 1

Square pillar-based phononic beam. The unit cell domain is meshed in three dimensions to be used for band structure calculations. The beam thickness and the lattice parameter is a and the square cross-section of pillars have height h and length d. Bloch–Floquet periodic boundary conditions are applied in the x direction.

Grahic Jump Location
Fig. 2

Phononic band gap maps as a function of the relative height h/a. The dimension of the square pillar is fixed at d/a = 0.5.

Grahic Jump Location
Fig. 3

Band diagramm of aluminum-fortal unit cell with square pillar (h/a = 0.8, d/a = 0.5)

Grahic Jump Location
Fig. 4

(a) View of aluminum-fortal phononic beam, (b) experimental test bench used to measure the ultrasonic transmissions of the two machined phononic beam

Grahic Jump Location
Fig. 5

(a) Fast Fourier transform of signals measured for phononic beams with and without pillars, (b) a ratio of the measurements curves between the two signals measured, and (c) dispersion curves calculated by finite element simulation

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