Vibration modes of flexoelectric circular plate

• Published in: Acta mechanica Sinica Vol. 38; no. 12
• Main Authors: Lan, Mengdie, Yang, Wenjun, Liang, Xu, Hu, Shuling, Shen, Shengping
• Format: Journal Article
• Language: English
• Published: Beijing The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences 01-12-2022; Springer Nature B.V
• Edition: English ed.
• Subjects: Actuators; Bending; Broken symmetry; Circular plates; Classical and Continuum Physics; Computational Intelligence; Coupling; Energy harvesting; Engineering; Engineering Fluid Dynamics; Exact solutions; Isotropic material; Microelectromechanical systems; Nanoelectromechanical systems; Piezoelectricity; Research Paper; Theoretical and Applied Mechanics; Vibration mode; Electromechanical; Flexoelectricity; Circular plate; Coupling
• ISSN: 0567-7718; 1614-3116
• DOI: 10.1007/s10409-022-22063-x

Beams, plates, and shells, as the fundamental mechanical structures, are widely used in microelectromechanical systems (MEMS) and nanoelectromechanical systems (NEMS) as sensors, actuators, energy harvesters, and among others. Deeply understand the electromechanical coupling of these dielectric structures is of crucial for designing, fabricating, and optimizing practice devices in these systems. Herein we demonstrate the electromechanical coupling in flexoelectric circular plate, in which higher-order strain gradients were considered to extend the classical electromechanical properties to isotropic materials, in which the non-uniform distribution of the electric potential along the radial direction was considered. Analytical solutions for the vibration modes of the flexoelectric circular plates showed that the dynamic modes were totally different from the piezoelectric circular plates owing to the inversion symmetry breaking by the strain gradient. The electromechanical coupling dynamic modes are sensitive to bending, twisting modes owing to the sensitivity of the flexoelectric effect to bending. This work provides a fundamental understanding of the electromechanical coupling in flexoelectric circular plate, which is helpful in designing novel flexoelectric circular plate-based devices, such as flexoelectric mirrors.