旋转压电纳米梁的振动分析

Vibration Analysis of Rotating Piezoelectric Nano-Beam

本文基于非局部弹性理论,对旋转压电纳米梁模型的振动进行了分析.首先由哈密顿原理导出旋转压电纳米梁的动力学控制方程及相应的边界条件;再通过微分求积法对控制方程和两类边界条件进行离散;最后通过数值计算分析振动特性.通过改变旋转角速度、轮毂半径、非局部参数以及外部电压分析它们对压电纳米梁振动频率的影响关系.数值结果表明这些参数对压电纳米梁固有频率有不可忽略的影响,本文进一步讨论了旋转角速度对结构模态的影响.

Based on the non-local elastic theory, the vibration of the rotating piezoelectric nano-beam model is analyzed. Firstly,the dynamic governing equations and corresponding boundary conditions of the rotating piezoelectric nano-beam are derived by the Hamiltonian principle. Then the differential equations are used to discretize the governing equations and the two types of boundary conditions. Finally, the vibration characteristics are analyzed by numerical calculation. The effects of their angular velocity, hub radius, non-local parameters and external voltage on the vibrational frequency of piezoelectric nano-beam are analyzed. The numerical results show that these parameters have a non-negligible influence on the natural frequency of the piezoelectric nano-beam. The influence of the rotational angular velocity on the structural mode is further discussed.