层状压电半导体板的稳态弯曲振动分析

本文针对具有极化-变形-载流子耦合的层状压电半导体复合悬臂结构，理论研究了自由端在周期荷载作业下的稳态响应问题，导出了板中位移场、电场、载流子等物理量的解析表达式，并数值分析了周期荷载的幅值、激励频率和初始载流子浓度对结构宏观力学响应的影响。数值结果表明：在一阶固有频率下，结构内部各物理量响应幅值较大；在高阶固有频率下，各物理量响应出现多个局部峰值区域，其幅值相对减小，载流子会朝局部极值区域“聚集”或“离开”局部极值区域。初始载流子浓度在一定范围内对结构的固有频率以及各物理量的稳态响应有显著的调控作用。

Analysis of Flexural Vibrations of Laminated Piezoelectric Semiconductor Plates

We theoretically study the flexural vibration of a laminated piezoelectric semiconductor (PS) composite plate. Based on the two-dimensional (2D) equations for the laminated thin-film PS plates, the analytical s of the electromechanical fields and distribution of electrons in the thin-film PS plate subjected to a steady-state flexural vibration are obtained. We numerically investigated the effects of the amplitude and excitation frequency of mechanical loading and the initial concentration of carriers on the macroscopic responses of the PS structure. Numerical results show that the amplitudes of all physical quantities in the plate have the largest values under the first-order natural frequency. Under the second/third and other-higher order natural frequencies, each physical field has many local maximum or minimum regions. The carriers move to or leave these local regions. In addition, due to the screening effect of carriers, only the initial carriers with certain concentrations have a tuning effect on the PS plate.