The analytical methods are widely used to predict the vibration and noise of the permanent magnet motors in industry applications. In the traditional analytical method, the influence of the teeth is ignored and a large error of vibration calculation will occur in the slotted motor. In this article, a high-precision analytical method is proposed for vibration calculation of motors based on tooth modeling. First, the electromagnetic forces on each tooth of stator of the motor under no load and load are calculated. Then, the transfer function from the force acting on the teeth to the vibration on the surface of the shell is derived and verified by finite-element method (FEM). Next, the superposition method is introduced and used to superimpose the vibration excited by the force of all teeth to calculate the total vibration acceleration of the motor surface. Finally, the FEM and experiments are conducted to verify the effectiveness of the proposed method.

中文翻译：

---

一种基于齿模的开槽电机振动计算的高精度解析方法

分析方法广泛用于预测工业应用中永磁电机的振动和噪声。传统的解析方法忽略了齿的影响，开槽电机的振动计算会出现较大误差。本文提出了一种基于齿模的电机振动计算高精度解析方法。首先，计算空载和负载下电机定子各齿上的电磁力。然后，推导出作用在齿上的力到壳体表面振动的传递函数，并通过有限元方法（FEM）进行验证。下一个，引入叠加法，将所有齿受力激发的振动叠加，计算电机表面的总振动加速度。最后，进行有限元法和实验以验证所提出方法的有效性。