Abstract

In this article, the influence of angular acceleration on the mechanical response of an exponentially graded piezoelectric material (EGPM) rotating annular plate with variable thickness placed in a magnetic field is studied. As a result of angular acceleration, the Lorentz force exists in both radial and circumferential directions. Using the separation of variable method, three coupled governing partial differential equations (PDEs) are converted to ordinary differential equations (ODEs). Next, using Runge-Kutta and shooting methods, the equations are solved. The results demonstrate that considering angular acceleration has a considerable effect on the Lorentz force resulted from the magnetic field.

摘要

在本文中，研究了角加速度对放置在磁场中的可变厚度的指数梯度压电材料（EGPM）旋转环形板的机械响应的影响。由于角加速度，洛伦兹力存在于径向和圆周方向。使用变量分离法，将三个耦合的控制偏微分方程（PDE）转换为常微分方程（ODE）。接下来，使用 Runge-Kutta 和射击方法，求解方程。结果表明，考虑角加速度对磁场产生的洛伦兹力有相当大的影响。