›› 2015, Vol. 24 ›› Issue (3): 36201-036201.doi: 10.1088/1674-1056/24/3/036201

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

Flexural wave band-gaps in phononic metamaterial beam with hybrid shunting circuits

张浩, 温激鸿, 陈圣兵, 王刚, 温熙森   

  1. Vibration and Acoustics Research Group, Laboratory of Science and Technology on Integrated Logistics Support, College of Mechatronics and Automation, National University of Defense Technology, Changsha 410073, China
  • 收稿日期:2014-06-04 修回日期:2014-09-21 出版日期:2015-03-05 发布日期:2015-03-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 51275519 and 51175501).

Flexural wave band-gaps in phononic metamaterial beam with hybrid shunting circuits

Zhang Hao (张浩), Wen Ji-Hong (温激鸿), Chen Sheng-Bing (陈圣兵), Wang Gang (王刚), Wen Xi-Sen (温熙森)   

  1. Vibration and Acoustics Research Group, Laboratory of Science and Technology on Integrated Logistics Support, College of Mechatronics and Automation, National University of Defense Technology, Changsha 410073, China
  • Received:2014-06-04 Revised:2014-09-21 Online:2015-03-05 Published:2015-03-05
  • Contact: Wen Ji-Hong E-mail:wenjihong_nudt1@vip.sina.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 51275519 and 51175501).

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摘要： Periodic arrays of hybrid-shunted piezoelectric patches are used to control the band-gaps of phononic metamaterial beams. Passive resistive-inductive (RL) shunting circuits can produce a narrow resonant band-gap (RG), and active negative capacitive (NC) shunting circuits can broaden the Bragg band-gaps (BGs). In this article, active NC shunting circuits and passive resonant RL shunting circuits are connected to the same piezoelectric patches in parallel, which are usually called hybrid shunting circuits, to control the location and the extent of the band-gaps. A super-wide coupled band-gap is generated when the coupling between RG and the BG occurs. The attenuation constant of the infinite periodic structure is predicted by the transfer matrix method, which is compared with the vibration transmittance of a finite periodic structure calculated by the finite element method. Numerical results show that the hybrid-shunting circuits can make the band-gaps wider by appropriately selecting the inductances, negative capacitances, and resistances.

关键词: phononic metamaterial, band-gap, hybrid shunting circuits, flexural wave

Abstract: Periodic arrays of hybrid-shunted piezoelectric patches are used to control the band-gaps of phononic metamaterial beams. Passive resistive-inductive (RL) shunting circuits can produce a narrow resonant band-gap (RG), and active negative capacitive (NC) shunting circuits can broaden the Bragg band-gaps (BGs). In this article, active NC shunting circuits and passive resonant RL shunting circuits are connected to the same piezoelectric patches in parallel, which are usually called hybrid shunting circuits, to control the location and the extent of the band-gaps. A super-wide coupled band-gap is generated when the coupling between RG and the BG occurs. The attenuation constant of the infinite periodic structure is predicted by the transfer matrix method, which is compared with the vibration transmittance of a finite periodic structure calculated by the finite element method. Numerical results show that the hybrid-shunting circuits can make the band-gaps wider by appropriately selecting the inductances, negative capacitances, and resistances.

Key words: phononic metamaterial, band-gap, hybrid shunting circuits, flexural wave

中图分类号:  (Mechanical and elastic waves; vibrations)

  • 62.30.+d
77.65.-j (Piezoelectricity and electromechanical effects)