挠曲电圆板的振动模态

Vibration modes of flexoelectric circular plate

梁、板和壳作为基本力学结构在微机电系统和纳机电系统中广泛用作传感器、驱动器、能量俘获器等。深入理解这些电介质结构的力电耦合有助于微纳机电系统中结构的设计、制备和优化。本文中,我们阐述了曲电圆板的力电耦合行为,其中通过引入应变梯度将经典力电耦合理论拓宽到中心对称各向同性,并考虑了电势沿径向非均匀分布的影响.挠曲电圆板的振动模态的解析解表明其与压电圆板的振动模态完全不同,这是由于应变梯度局部破坏晶体的反演对称从而在圆板中引起的力电耦合导致的.力电耦合振动模态对弯曲和扭转模态更加敏感,本文给出了挠曲电圆板的基本认知,其有助于设计新型挠曲电圆板器件,例如挠曲电反射镜等.

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.