摘要Periodic arrays of shunted piezoelectric patches are employed to control the propagation of elastic waves in phononic beams. Each piezo-patch is connected to a single resistance-inductance-capacitance shunting circuit. Therefore, the resonances of the shunting circuits will produce locally resonant gaps in the phononic beam. However, the existence of locally resonant gaps induced by resonant shunts has not been clearly proved by experiment so far. In this work, the locally resonant gap in a piezo-shunted phononic beam is investigated theoretically and verified by experiment. The results prove that resonances of shunting circuits can produce locally resonant gaps in phononic beams.
Abstract:Periodic arrays of shunted piezoelectric patches are employed to control the propagation of elastic waves in phononic beams. Each piezo-patch is connected to a single resistance-inductance-capacitance shunting circuit. Therefore, the resonances of the shunting circuits will produce locally resonant gaps in the phononic beam. However, the existence of locally resonant gaps induced by resonant shunts has not been clearly proved by experiment so far. In this work, the locally resonant gap in a piezo-shunted phononic beam is investigated theoretically and verified by experiment. The results prove that resonances of shunting circuits can produce locally resonant gaps in phononic beams.
[1] Mead D J 1970 J. Sound Vib. 11 181
[2] Mead D J and Markus S 1983 J. Sound Vib. 90 1
[3] Kushwaha M S and Halevi P and Dobrzynski L 1993 Phys. Lett. A 71 2022
[4] Li Y, Hou Z L, Fu X J and Badreddine M 2010 Chin. Phys. Lett. 27 074303
[5] Cheng Y and Liu X J 2009 Chin. Phys. Lett. 26 014301
[6] Wen J H, Shen H J, Yu D L and Wen X S 2010 Chin. Phys. Lett. 27 114301
[7] Ruzzene M and Baz A 2000 Proc. SPIE 3991 389
[8] Baz A 2001 J. Vib. Acoust. 123 472
[9] Thorp O, Ruzzene M and Baz A 2001 Proc. SPIE 4331 218
[10] Thorp O, Ruzzene M and Baz A 2005 Smart Mater. Struct. 14 594
[11] Spadoni A, Ruzzene M and Cunefare K A 2009 J. Intell. Mater. Syst. Struct. 20 979
[12] Casadei F, Ruzzene M, Dozio L and Cunefare K A 2010 Smart Mater. Struct. 19 015002
[13] Chen S B, Han X Y, Yu D L and Wen J H 2010 Acta Phys. Sin. 59 387 (in Chinese)
[14] Wang G, Chen S B, Wen J H 2011 Smart Mater. Struct. 20 015026
[15] Yu D L, Liu Y Z, Zhao H G, Wang G and Qiu J 2006 Phys. Rev. B 73 064301
[16] Wang G, Yu D L, Wen J H, Liu Y Z and Wen X S 2004 Phys. Lett. A 327 512