A programmable macro-fiber-composite meta-ring with digital shunting circuits. (1st September 2022)

• Record Type: Journal Article
• Authors: Zheng, Yisheng; Tian, Wendi; Lee, Nicholas Kai Xun; Qu, Yegao; Meng, Guang
• Is Part Of: Journal of sound and vibration. Volume 533(2022)
• Publication Date: 2022-09-01
• Subjects: Piezoelectric metastructure -- Digital circuit -- Programmable bandgap -- Micro-fiber-composite -- High-order local-resonance bandgap; Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2022.117017
• Languages: English
• ISSNs: 0022-460X

Abstract

Highlights: Propose a piezoelectric meta-ring with digital shunting circuits. Programmable local-resonance bandgaps are attainable in the digital meta-ring. Establish a theoretical framework of the digital meta-ring. Investigate two designing strategies of high-order local-resonance bandgaps. Verify bandgaps of the digital micro-fiber-composite meta-ring experimentally. Abstract: Representing a typical class of active metamaterials with unprecedented adaptiveness, piezoelectric metamaterials have received a lot of research efforts, but which are mostly focused on beam- and plate-types. In this research, we propose a piezoelectric meta-ring shunted with digital high-order resonant circuits, where the micro-fiber-composite (MFC) are used as the electrical-mechanical transducers. Due to the programmability of digital circuits, the bandgap behavior of the meta-ring is highly adaptive. The analytical dispersion relation of meta-ring cells is achieved with the transfer matrix method. To study dynamic response of the finite meta-ring system, we derive the six-order electrical-mechanical coupling equation, and also establish its discretized form using the assumed-mode expansion method. The finite-element simulations are performed to verify this analytical model. By homogenizing the meta-ring under the long-wavelength assumption, a simplified model is attained, so as to provide a convenient means to design the bandgaps and perform stability analysis. For the sake of implementing high-order local-resonance bandgaps, we investigate two manners based on the pole-zero placement to design digital circuits. The bandgap boundaries under these two scenarios are analytically identified. Additionally, the bandgap performance of the meta-ring is simulated, followed by a comprehensive investigation of the impacts of electrical parameters, including the gain, damping and poles-zeros. For the inversely designed digital circuits, the bifurcation phenomenon of poles of the electrical admittance is uncovered, which impacts the stability of circuits. Lastly, we build an experimental set-up of the digital MFC meta-ring. Its programmable and high-order local-resonance bandgap performance is validated experimentally.