This paper investigates an acoustic prism for continuous acoustic beam steering by a simple frequency sweep. This idea takes advantages of acoustic wave velocity shifting in metamaterials in the vicinity of local resonance. We apply this concept into the piezoelectric metamaterial consisting of host medium and piezoelectric LC shunt. Theoretical modeling and FEM simulations are carried out. It is shown that the phase velocity of acoustic wave changes dramatically in the vicinity of local resonance. The directions of acoustic wave can be adjusted continuously between 2 to 16 degrees by a simple sweep of the excitation frequency. Such an electro-mechanical coupling system has a feature of adjusting local resonance without altering the mechanical part of the system. Keywords: Acoustic metamaterial, acoustic prism, LC shunt circuit, beam steering, local resonance.
BACKGROUNDStructural health monitoring (SHM) aims at utilizing autonomous damage detection strategies to monitor a structure in real time. A SHM system consists of sensors and actuators with data acquisition, computation and signal interpretation modules. Many types of actuators and sensors have been adopted including, for example, the piezoelectric transducers, fiber composites, magnetostrictive materials and fiber optics. Among these, piezoelectric transducers have received significant attention due to its compactness, wide bandwidth, and good linearity within functional range [1][2][3]. The piezoelectric transducers are commonly used in the impedance based and the guided wave based SHM systems. Towards the impedance based method, electrical impedance of the piezoelectric transducer bonded to structure is measured. Due to the two-way electromechanical coupling effect, the damage induced mechanical impedance changes can be reflected in the electrical impedance shifting [4,5]. The impedance based method has advantages of simple configuration, low power consumption, and independent on an analytical model for implementation [4][5][6][7]. Alternatively, the guided wave propagation approach shows better feasibility in far field damage detection [8][9][10]. This is because the guided Lamb waves have the advantage of wave propagation over long distances with little loss of amplitude. Consequently, it is not required to place the actuators or sensors in the vicinity of damages. By extending the guided wave method into 2-or 3-dimensional space, the phased array techniques arise and have been subject to wide exploration. In the phased array method, the surface bonded actuators focus the wave energy on localized directions or areas by controlled excitation time delay of each array element [11][12][13][14][15]. The beam forming direction reorientation can be achieved by altering the excitation time sequences. Nevertheless, this method needs complicate and precise control coordination. Due to the demand of low cost acoustic beam steering, a frequency-based beam steering method has been proposed in a recent study by utilizing periodic array of piezoelectric act...