超声电机用开槽碟簧的计算与设计方法

Calculation and Design Method for Slotted Belleville Spring of Ultrasonic Motor

针对小型号超声电机定转子预压力加载需要,提出了基于圆锥壳体理论的开槽碟簧设计计算理论,并进行了试验验证。首先,从圆锥壳体理论出发,建立了开槽碟簧在简支条件下受轴向载荷的力学模型,并基于现代数值计算理论,得到了求解该力学模型的计算方法;其次,将计算结果与有限元结果以及传统公式结果进行对比分析,并设计试验进行了验证;最后,基于开槽碟簧准零刚度特性的参数敏感性分析试验结果,提出了开槽碟簧结构设计的方法。研究结果表明,基于圆锥壳体理论的开槽碟簧计算方法比有限元方法和传统公式具有更高的准确性,相对误差在±3.5%以内,开槽碟簧的最优高厚比范围在1.5~1.8之间。该结论可为小型号超声电机用开槽碟簧的设计提供参考。

A calculation model for slotted belleville spring based on the conical shell theory is presented to solve the problem of preloading in the small series of ultrsonic motors.Based on the conical shell theory,the mechanical model for slotted belleville spring is established under the condition of axisymmetric loading and sliding support.The calculation method for the model is studied based on the theory of modern computing methods.A comparative analysis test is made between the experimental data and the results of various computing theories.The results show the model based on the conical shell theory has a higher precision than other methods and the relative error is within ±3.5%.Based on the results of parameter-sensitivity analysis testing for slotted belleville spring,the optimal height-thickness ratio is obtained with the range of1.5 to 1.8 and the design solution for slotted belleville spring is presented.