定子齿结构TRUM离散化动力学分析方法
Analysis Method for Discretization Dynamics of TRUM with Stator Teeth Structure

基于目前行波型旋转超声电机定转子非线性接触动力学理论研究的复杂性，提出一种简易求解的界面离散化动力学分析方法。首先，着眼于定子齿的离散分布特性，化定转子齿面接触为离散点接触，在定子齿与转子的不同接触状态下，通过引入等效刚度的概念，对定子齿与转子间的轴向作用力进行求解，从而获得定转子的离散等效作用力，确立定转子的相对运动关系；然后，从离散接触点的三维运动特性出发，分析接触过程中的径向和周向摩擦力，从而研究输出机械特性和界面能耗；最后，通过仿真和实验，验证了该方法对接触界面动力学的准确描述。
This paper puts forward an analysis method for the dynamics of the contact interface of travelling-wave rotary ultrasonic motors (TRUMs) by discreting the stator/rotor interface to avoid the complexity non-linear deduction of the motor in the recent researches. First, the surface-contact of each stator tooth was equivalent to point-contact, for which the concept of equivalent stiffness of different contact states was proposed to analyze the contact states. The discrete axial forces between the stator teeth and rotor were described as the equivalent stiffness, and the equivalent force between the stator and the rotor was obtained. Thus, the relative movement of the stator and the rotor was calculated, and the axial dynamics characteristics of the stator and the rotor were gained. Then, the radial and circumferential friction was given by the three-dimensional motion in the interface to study the mechanical characteristics and the energy consumption. The final simulations and experiments demonstrated the accurate description of the interface dynamics by the proposed method.