不对称齿距偏差人字齿轮大周期的三维振动特性分析  

Large periodic 3-D vibration characteristics analysis of herringbone gears with asymmetric tooth pitch deviation

作　　者：刘玄 方宗德[2] 雷凤杰 张成光 郭芳 胡升阳 LIU Xuan;FANG Zongde;LEI Fengjie;ZHANG Chengguang;GUO Fang;HU Shengyang(College of Mechanical and Electrical Engineering,Zhoukou Normal College,Zhoukou 466001,China;School of Mechanical Engineering,Northwestern Polytechnic University,Xi’an 710072,China;MOE Key Lab of Road Construction Technology and Equipment,Chang’an University,Xi’an 710064,China;College of Mechanical Engineering,Anhui University of Science and Technology,Huainan 232001,China)

机构地区：[1]周口师范学院机械与电气工程学院,河南周口466001 [2]西北工业大学机电学院,西安710072 [3]长安大学道路施工技术与装备教育部重点实验室,西安710064 [4]安徽理工大学机械工程学院,安徽淮南232001

出　　处：《振动与冲击》2024年第19期83-93,116,共12页Journal of Vibration and Shock

基　　金：河南省科技攻关项目(242102220070,222102220022);国家自然科学青年基金(52305045);中央高校基本科研业务费专项资金资助项目(300102252111)。

摘　　要：为了揭示不对称齿距偏差对人字齿轮传动的影响,提出了一种不对称齿距偏差人字齿轮大周期的承载接触分析方法,得到人字齿轮副大周期的综合啮合刚度、轴向窜动量、综合啮合误差和左右侧斜齿轮副大周期的啮入冲击力。建立了不对称齿距偏差人字齿轮的动力学模型,对比了不同负载、不同转速下人字齿轮副的动态响应,分析了不对称的啮入冲击对左右侧斜齿轮副动态响应的影响。结果表明:不对称齿距偏差人字齿轮三维振动位移的频谱中,轴频成分最为明显,啮合频率及其倍频相对较小。端面振动加速度频谱中啮合频率及其倍频较为明显,且在啮合频率及其倍频两侧分布着一系列边频带。随着负载的增大,三维振动位移和三维振动加速度的频谱中,啮合频率及其倍频的幅值逐渐增大,而边频带成分的幅值逐渐减小。随着小轮转速超过共振转速,不对称的啮入冲击力对人字齿轮传动系统的三维振动加速度逐渐起主导作用,此时左右侧斜齿轮副的三维振动特性差别较明显。Here,to reveal effects of asymmetric tooth pitch deviation on transmission of herringbone gears,a large periodic load-bearing contact analysis method for asymmetric tooth pitch deviation herringbone gears was proposed to obtain comprehensive meshing stiffness,axial displacement,comprehensive meshing error and large periodic meshing impact forces of left and right helical gear pairs.The dynamic model of asymmetric pitch deviation herringbone gears was established,and dynamic responses of herringbone gear pairs under different loads and rotating speeds were compared.Effects of asymmetric meshing impacts on dynamic responses of left and right helical gear pairs were analyzed.The results showed that in 3-D vibration displacement spectra of asymmetric tooth pitch deviation herringbone gears,shaft frequency component is most obvious,meshing frequency and its harmonics are relatively smaller;meshing frequency and its harmonics are more obvious in end-face vibration acceleration spectra,and a series of side frequency bands are distributed on both sides of meshing frequency and its harmonics;with increase in load,amplitudes of meshing frequency and its harmonics in 3-D vibration displacement and 3-D vibration acceleration spectra gradually increase,while amplitudes of side frequency band components gradually decrease;when rotating speed of small wheel exceeds resonance rotating speed,asymmetric meshing impact force gradually plays a dominant role in 3-D vibration acceleration changes of herringbone gear transmission system,meanwhile,the difference in 3-D vibration characteristics between left and right helical gear pairs is more obvious.

关 键 词：不对称齿距偏差 人字齿轮 大周期 轴向窜动量 三维振动特性 

分 类 号：TH132.41[机械工程—机械制造及自动化]