本发明公开了一种改进的磁致伸缩引起的电机定子铁心振动解析模型。根据径向磁通电机的结构和磁场分布特点，将定子铁心划分为轭部和齿部两个子域。轭部振动为圆环体的振动，齿部振动为矩形块的振动。基于压磁方程和牛顿定律分别建立了定子铁心轭部和齿部沿径向和轴向振动偏微分方程。采用分离变量法求解振动微分方程，根据边界条件求解待定系数。本发明计算结果准确，物理概念清晰，可用于计算磁致伸缩引起的电机定子铁心振动位移、速度、加速度，应力和应变分布特性，是一种行之有效的电机振动分析方法。

The invention discloses an improved analytic model of motor stator core vibration caused by magnetostriction. According to the structure of the radial flux motor and the characteristics of the magnetic field distribution, the stator core is divided into two subdomains: the yoke and the teeth. The vibration of the yoke is the vibration of a circular ring, and the vibration of the tooth is the vibration of a rectangular block. Based on the piezomagnetic equation and Newton's law, the partial differential equations for the vibration of the stator core yoke and teeth in the radial and axial directions are established. The variable separation method is used to solve the vibration differential equation, and the undetermined coefficients are solved according to the boundary conditions. The invention has accurate calculation results and clear physical concepts, and can be used to calculate the vibration displacement, speed, acceleration, stress and strain distribution characteristics of the motor stator core caused by magnetostriction, and is an effective motor vibration analysis method.