Band gap control of phononic beam with negative capacitance piezoelectric shunt

doi:10.1088/1674-1056/20/1/014301

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 14301-014301.doi: 10.1088/1674-1056/20/1/014301

Band gap control of phononic beam with negative capacitance piezoelectric shunt

陈圣兵, 温激鸿, 郁殿龙, 王刚, 温熙森

a)Institute of Mechatronical Engineering, National University of Defense Technology, Changsha 410073, China b)Key Laboratory of Photonic and Phononic Crystal of Ministry of Education, National University of Defense Technology, Changsha 410073, China

收稿日期:2010-05-20 修回日期:2010-06-23 出版日期:2011-01-15 发布日期:2011-01-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 50875255 and 10902123).

Band gap control of phononic beam with negative capacitance piezoelectric shunt

Chen Sheng-Bing(陈圣兵)^†,Wen Ji-Hong(温激鸿),Yu Dian-Long(郁殿龙), Wang Gang(王刚),and Wen Xi-Sen(温熙森)

^aInstitute of Mechatronical Engineering, National University of Defense Technology, Changsha 410073, China; ^bKey Laboratory of Photonic and Phononic Crystal of Ministry of Education, National University of Defense Technology, Changsha 410073, China

Received:2010-05-20 Revised:2010-06-23 Online:2011-01-15 Published:2011-01-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 50875255 and 10902123).

摘要/Abstract

摘要： Periodic arrays of negative capacitance shunted piezoelectric patches are employed to control the band gaps of phononic beams. The location and the extent of induced band gap depend on the mismatch in impedance generated by each patch. The total impedance mismatch is determined by the added mass and stiffness of each patch as well as the shunting electrical impedance. Therefore, the band gap of the shunted phononic beam can be actively tuned by appropriately selecting the value of negative capacitance. The control of the band gap of phononic beam with negative capacitive shunt is demonstrated numerically by employing transfer matrix method. The result reveals that using negative capacitive shunt to tune the band gap is effective.

关键词: phononic crystal, band gap, negative capacitive shunt, piezoelectric beam

Abstract: Periodic arrays of negative capacitance shunted piezoelectric patches are employed to control the band gaps of phononic beams. The location and the extent of induced band gap depend on the mismatch in impedance generated by each patch. The total impedance mismatch is determined by the added mass and stiffness of each patch as well as the shunting electrical impedance. Therefore, the band gap of the shunted phononic beam can be actively tuned by appropriately selecting the value of negative capacitance. The control of the band gap of phononic beam with negative capacitive shunt is demonstrated numerically by employing transfer matrix method. The result reveals that using negative capacitive shunt to tune the band gap is effective.

Key words: phononic crystal, band gap, negative capacitive shunt, piezoelectric beam

中图分类号: (General linear acoustics)

43.20.+g

02.60.-x (Numerical approximation and analysis)

陈圣兵, 温激鸿, 郁殿龙, 王刚, 温熙森. Band gap control of phononic beam with negative capacitance piezoelectric shunt[J]. 中国物理B, 2011, 20(1): 14301-014301.

Chen Sheng-Bing(陈圣兵), Wen Ji-Hong(温激鸿), Yu Dian-Long(郁殿龙), Wang Gang(王刚), and Wen Xi-Sen(温熙森). Band gap control of phononic beam with negative capacitance piezoelectric shunt[J]. Chin. Phys. B, 2011, 20(1): 14301-014301.

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Band gap control of phononic beam with negative capacitance piezoelectric shunt

Band gap control of phononic beam with negative capacitance piezoelectric shunt

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