Abstract In this article, amplitude, and vibrational characteristics of a rotating orthotropic piezoelectric nanodisk are presented. The centrifugal and Coriolis effects due to the rotation are considered. The strains and stresses can be determined via the higher-order shear deformable theory (HSDT). For accessing to size effects, the nonlocal strain gradient theory (NSGT) is used for obtaining the correct results. The boundary conditions are derived through governing equations of the orthotropic piezoelectric rotating nanodisk using an energy method known as Hamilton’s principle and finally are solved using the generalized differential quadrature method (GDQM). The results created from a finite element simulation illustrates a close agreement with the semi-numerical method results. Vibration characteristics of the spinning nanodisk with various boundary conditions are described based on the curves drawn by Matlab software. The outcomes show that the applied voltage, angular velocity, length scale, and nonlocal parameters, and geometrically properties of piezoelectric nanodisk have a considerable impact on the amplitude, and vibration behavior of a piezoelectric rotating cantilever nanodisk.

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基于非局部应变梯度理论的超快旋转悬臂正交各向异性压电纳米盘动力学研究

摘要 本文介绍了旋转正交各向异性压电纳米盘的振幅和振动特性。考虑了由于旋转引起的离心效应和科里奥利效应。应变和应力可以通过高阶剪切变形理论 (HSDT) 确定。为了获得尺寸效应，非局部应变梯度理论 (NSGT) 用于获得正确的结果。边界条件是通过正交各向异性压电旋转纳米盘的控制方程使用称为哈密尔顿原理的能量方法推导出来的，最后使用广义微分正交方法 (GDQM) 求解。有限元模拟产生的结果与半数值方法的结果非常吻合。基于Matlab软件绘制的曲线描述了具有各种边界条件的旋转纳米盘的振动特性。结果表明，压电纳米盘的施加电压、角速度、长度尺度和非局部参数以及几何特性对压电旋转悬臂纳米盘的振幅和振动行为有相当大的影响。