基于参数非线性的二级行星减速器扭转振动分析  

Nonlinear-parameter-based Torsional Vibration Analysis on Two Stage Planetary Gear Reducer

作　　者：韩斌慧[1,2] 孙大刚[1] 张建广[2] 李占龙[1] 曹海霞[3] 

机构地区：[1]太原科技大学机械工程学院,山西太原030024 [2]中国煤炭科工集团太原研究院有限公司,山西太原030006 [3]山西省社会科学院能源经济研究所,山西太原030006

出　　处：《应用基础与工程科学学报》2015年第5期1011-1024,共14页Journal of Basic Science and Engineering

基　　金：国家青年科学基金项目(51305288);山西省回国留学人员科研资助项目(2012-073);天地科技工艺技术创新基金(KJ-2013-SXMJ-05)

摘　　要：为掌握多元非线性参数对二级行星减速器动态特性的影响,在综合考虑齿轮副之间的时变啮合刚度、综合传递误差、啮合阻尼以及齿侧间隙的情况下,基于集中参数法建立了减速器纯扭转振动模型,采用变步长的Runge-Kutta法求解系统动态响应,获得了各级内、外齿轮副之间的振动特性时域数据,以及动态啮合力.理论求解与实验结果最大误差值0.98,平均误差0.05,一级振动及动态啮合力大于二级;同级中太阳轮振动大于行星轮,内、外啮合齿轮副动态啮合力基本相当.频域分析显示:主要振频为齿频和啮频相互耦合所致;一级行星轮齿频为12.93Hz,接近第一阶主振频12Hz;二级啮频62.37Hz,接近第二阶主振频62Hz,成为系统前两阶激振源.To obtain the influence of nonlinear parameters on two stages planetary reducer,a lumpedparameter-based torsional vibration model,involving time-variable meshing stiffness,overall transferring errors,meshing damping and pick space,was established. Then Variable step Runge-Kuttta method was adopted to solve the system dynamic responses and then obtain the time domain data of vibration characteristic between internal and external gear in each stage,and the meshing forces. The results indicate that satisfactory agreement between results from theory and experiment was encountered with max and average error values being 0. 98 and0. 05,respectively. Meanwhile other conclusions can be extracted from time-domain characteristics: Vibration from the first stage exhibits higher values than the second stage; In the same stage,vibration of sun gear is larger than planetary gear; Meshing forces of internal and outer meshing gears are identical. Frequency analysis concluded that the dominant frequencies arise from coupling effect between excitation frequencies of meshing and rotating,giving that the planetary rotating frequency of the first stage is 12. 93 Hz close to the first dominant frequency12 Hz,the second meshing frequency renders 62. 37 Hz reaching the second dominant frequency62 Hz,which are the first two orders excitation sources.

关 键 词：二级行星减速器 非线性参数 振动模型 振动实验 

分 类 号：TH132.46[机械工程—机械制造及自动化] TH113.1