高速锥齿轮行波共振的应力间接测量方法研究

Study on Indirect Stress Measurement Method of Traveling Wave Resonance of High Speed Bevel Gears

为了有效解决高速锥齿轮节径型行波共振问题,避免其发生开裂与失效等故障,研究高速锥齿轮行波共振的应力间接测量方法。分析高速锥齿轮行波共振原理,建立锥齿轮3D运算模型,设计结合了声波导管与电阻应变计两种方式的应力间接测量方案,实现对高速锥齿轮行波共振的应力间接测量。研究结果表明,当锥齿轮处于三、四节径行波共振模式时,应力集中于齿根弯曲处与辐板处,且辐板正面应力低于背面,四节径行波共振应力高于三节径;当锥齿轮上各测量点的峰值振动响应均出现在三节径前行波、五节径后行波以及四节径前、后行波振动模式下时,最高分频动态应力可达到116MPa,出现在测量点1与测量点4的五节径后行波位置;该方法可有效测量出锥齿轮行波共振下的转速、动频及动态应力,测量结果误差波动范围小,可满足高速锥齿轮行波共振的测量需求。

In order to effectively solve the problem of high-speed bevel gear pitch diameter traveling wave resonance and avoid its cracking and failure,the indirect stress measurement method of high-speed bevel gear traveling wave resonance is studied.The principle of traveling wave resonance of high-speed bevel gear is analyzed,the 3D operation model of bevel gear is established,and the indirect stress measurement scheme combining acoustic conduit and resistance strain gauge is designed to realize the indirect stress measurement of traveling wave resonance of high-speed bevel gear.The results show that when the bevel gear is in the three and four pitch diameter traveling wave resonance mode,the stress is concentrated at the tooth root bending and the spoke plate,the front stress of the spoke plate is lower than the back,and the four pitch diameter traveling wave resonance stress is higher than the three pitch diameter;When the peak vibration responses of each measuring point on the bevel gear appear in the three pitch forward traveling wave,five pitch backward traveling wave and four pitch forward and backward traveling wave vibration modes,the maximum frequency division dynamic stress can reach 116MPa,which appears at the five pitch backward traveling wave positions of measuring point 1 and measuring point 4;This method can effectively measure the speed,dynamic frequency and dynamic stress of bevel gear under traveling wave resonance.The error fluctuation range of the measurement results is small,which can meet the measurement requirements of high-speed bevel gear traveling wave resonance.