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基于接触有限元的齿轮副扭转共振分析
引用本文:范俊,王建军,张涛,肖阳,陈策.基于接触有限元的齿轮副扭转共振分析[J].航空动力学报,2017,32(1):162-167.
作者姓名:范俊  王建军  张涛  肖阳  陈策
作者单位:1.北京航空航天大学 能源与动力工程学院,北京 100191
摘    要:以典型斜齿轮副为对象,基于接触有限元法,先模拟其准静态啮合过程并求解啮合刚度,并与国家标准偏差值进行了对比,证明了分析方法的正确性.再模拟其动态啮合过程,通过对啮合力响应进行频谱分析识别出扭转振动的固有频率,并与绘制频响曲线的识别结果一致.在此基础上,数值模拟了该齿轮副扭转共振的发生、发展和稳定过程,定量分析了共振状态下的典型动力学参数响应.结果表明:脱离啮合现象的发生使齿轮副的啮合冲击更为显著,共振状态下的最大应力值相比啮合频率为3000Hz时增大了20%. 

关 键 词:齿轮副    扭转共振    接触有限元法    参数振动    频谱分析    频响分析
收稿时间:2015/3/9 0:00:00

Analysis of torsional resonance of gear pairs based on contactfinite element method.
FAN Jun,WANG Jian-jun,ZHANG Tao,XIAO Yang,CHEN Ce.Analysis of torsional resonance of gear pairs based on contactfinite element method.[J].Journal of Aerospace Power,2017,32(1):162-167.
Authors:FAN Jun  WANG Jian-jun  ZHANG Tao  XIAO Yang  CHEN Ce
Abstract:To simulate the continuous engagement of gear pair under resonance state, the contact finite element method was described and proved to be reasonable by comparing the meshing stiffness with national standard. The research object was a helical involute gear pair, the natural frequency of torsional vibration was got by spectral analysis method and frequency response analysis method. The occurrence, development and steady state of gear pairs torsional resonance were simulated numerically, and several dynamic parameters were analyzed quantitatively. The results showed that, the separation during the meshing process made the effect of meshing impact more significant. The maximum von Mises stress increased by 20% compared with the value when the meshing frequency was 3000Hz. 
Keywords:gear pair  torsional resonance  contact finite element method  parametric vibration  spectral analysis  frequency response analysis
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