Zhang Maomao, Zhou Zhidong
Fujian Provincial Key Laboratory of Advanced Materials, College of Materials, Xiamen University, Xiamen 361005, China.
Xiamen Key Laboratory of Electronic Ceramic Materials and Devices, College of Materials, Xiamen University, Xiamen 361005, China.
Micromachines (Basel). 2022 Jun 9;13(6):915. doi: 10.3390/mi13060915.
With the development of micro-nanotechnology, smart electronic devices are being updated and developed, and more and more flexoelectric sensors, actuators, and energy harvesters attached to elastic substrates have attracted a surge of interest due to unique features at the nano-scale. In this paper, the static bending behavior and vibration characteristics of a flexoelectric beam structure based on a linear elastic substrate under a magnetic field environment are investigated. Based on the electrical Gibbs free energy density, the governing equations and boundary conditions of structures are derived by using the Euler-Bernoulli beam theory and the Hamilton's variational principle. The expressions of the deflection and the induced electric potential of the beam structure are expressed analytically. The natural frequency of the beam under the open-circuit electrical conditions with surface electrodes (OCI) are obtained after further extending the solution. The results show that the flexoelectric effect, the linear elastic substrate, and the magnetic field have significant effects on the static bending and vibration behaviors of the flexoelectric beam which are beneficial for designing and developing flexoelectric devices with elastic substrates.
随着微纳技术的发展，智能电子设备不断更新与发展，越来越多附着于弹性基板的挠曲电传感器、致动器和能量收集器因其在纳米尺度上的独特特性而引发了广泛关注。本文研究了基于线性弹性基板的挠曲电梁结构在磁场环境下的静态弯曲行为和振动特性。基于电吉布斯自由能密度，利用欧拉 - 伯努利梁理论和哈密顿变分原理推导了结构的控制方程和边界条件。解析地给出了梁结构的挠度和感应电势的表达式。在进一步拓展解之后，得到了带有表面电极的开路电条件下（OCI）梁的固有频率。结果表明，挠曲电效应、线性弹性基板和磁场对挠曲电梁的静态弯曲和振动行为有显著影响，这有利于设计和开发带有弹性基板的挠曲电装置。
