弧齿锥齿轮阶梯形超声振动系统的参数设计与实验

Experiment and Parameter Design of Stepped Ultrasonic Vibration System for Spiral Bevel Gears

弧齿锥齿轮与阶梯形变幅杆构成的研齿振动系统在超声研齿振动加工系统中属于核心部件,对其进行正确设计是实现超声振动研磨弧齿锥齿轮加工技术的关键。本文采用超声波传播原理和纵向振动设计理论,根据力耦合、位移连续和边界条件,求解在设计工作频率下研齿振动系统产生纵向振动的频率方程。同时,建立频率方程解的误差与工作频率及变幅杆长度的曲面关系,分析满足超声研齿要求的振动系统谐振频率、节点位置、位移分布及放大倍数等振动特性。实验测试结果与理论计算分析具有较好的一致性,进一步证实弧齿锥齿轮阶梯形振动系统的设计方法正确可行。

The ultrasonic vibration system composed of spiral bevel gears and stepped ultrasonic horn is a core component in the ultrasonic lapping vibration processing system.The correct design is the key to realize the ultrasonic vibration lapping spiral bevel gears processing technology.This paper adopts ultrasonic propagation principle and the longitudinal vibration design theory,according to the force coupling,displacement continuity and boundary conditions,the frequency equation of the longitudinal vibration system in the designed working frequency is solved.At the same time,the surface relation between frequency equation error and working frequency and horn length is established,the resonance frequency,node position,displacement distribution and magnification of the vibration system are analyzed.The experimental test results show a good agreement with the theoretical calculation analysis,and the design method of the stepped vibration system for spiral bevel gears is correct and feasible.