行星齿轮非线性振动系统参数稳定域的计算方法
Method of stability region determination for planetary gear train's parameters based on nonlinear vibration model
-
摘要: 研究了行星齿轮非线性传动系统参数稳定域计算的一般方法.该方法通过选取合理的失稳阀值,根据考查参数域内系统的运动状态选取合适的数值积分时间段,以循环套嵌的手段计算考查参数在各自范围内不同组合下的系统位移响应最大值,比较失稳阀值以判稳,参数稳定域的图形输出等5个步骤完成对行星轮系参数稳定域的计算.最后,以四自由度行星轮系纯扭转非线性振动模型为例,以行星轮输入转速、系统的齿侧间隙以及齿轮副的啮合阻尼系数为考查参数,分别计算得到了系统的单参数稳定域、双参数稳定域以及三参数稳定域,为行星轮系的设计取值提供了重要参考.Abstract: A general method of stability region determination for a planetary gear train's parameters was studied based on a nonlinear vibration model.There are five steps in the method,and the first step was threshold determination,the second step was deciding numerical integration time according to the motion state of the system when the parameters discussed changed in their test range,the third step was calculating the maximum displacement of the system when the parameters discussed changed in their test range by using nested loop algorithm,the fourth step was stability judgment by comparing maximum displacement with threshold and the last step was making the stability region map of the system.As an example,the stability region determination of a planetary gear train with errors of transmission,time varying meshing stiffness and gear backlashes was studied,and the stable regions of sun gear's rotational speed,backlashes of the system and relative damping ratio were calculated respectively.
-
[1] 方宗德,沈允文,黄镇东.2K-H行星减速器的动态特性[J].西北工业大学学报,1990,10(4):361-371. FANG Zongde,SHEN Yunwen,HUANG Zhendong.Dynamic characteristics of 2K-H planetary gearing[J].Journal of Northwestern Polytechnical University,1990,10(4):361-371.(in Chinese) [2] Kahrarman A.Free torsional vibration characteristics of compound planetary gear sets[J].Mech. Mach. Theory,2001,36(8):953-971. [3] 袁茹,王三民,沈允文.行星齿轮传动的功率分流动态均衡优化设计[J].航空动力学报,2000,15(4):410-412. YUAN Ru,WANG Sanmin,SHEN Yunwen.Dynamic optimum design of power shared out equally among the planetary gears[J].Journal of Aerospace Power,2000,15(4):410-412.(in Chinese) [4] 孙智民,季林红,沈允文.2K-H行星齿轮传动非线性动力学[J].清华大学学报:自然科学版,2003,43(5):636-639. SUN Zhimin,JI Honglin,SHEN Yunwen.Nonlinear dynamics of 2K-H planetary gear train[J].Journal of Tsinghua University:Science and Technology,2003,43(5):636-639.(in Chinese) [5] 胡海岩.应用非线性动力学[M].北京:航空工业出版社,2000:183-183. [6] 郜志英,沈允文,李素有,等.间隙非线性齿轮系统周期解结构及其稳定性研究[J].机械工程学报,2004,40(5):17-22. GAO Zhiying,SHEN Yunwen,LI Suyou,et al.Research on the periodic solution structure and its stability of nonlinear system with clearance[J].Journal of Mechanical Engineering,2004,40(5):17-22.(in Chinese) [7] 陈安华,罗善明,王文明,等.齿轮系统动态传递误差和振动稳定性的数值研究[J].机械工程学报,2004,40(4):21-25. CHEN Anhua,LUO Shanming,WANG Wenming,et al.Numerical investigations on dynamic transmission error and stability of a geared rotor-bearing system[J].Journal of Mechanical Engineering,2004,40(4):21-25.(in Chinese) [8] 吕延军,虞烈,刘恒.非线性轴承-转子系统的稳定性和分岔[J].机械工程学报,2004,40(10):62-67. LV Yanjun,YU Lie,LIU Heng.Stability and bifurcation of nonlinear bearing-rotor system[J].Journal of Mechanical Engineering,2004,40(10):62-67.(in Chinese) [9] Lin J,Parker R G.Planetary gear parametric instability caused by mesh stiffness variation[J].Journal of Sound and Vibration,2002(1):129-145. [10] Parker R G.A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration[J].Journal of Sound and Vibration,2000,236(4):561-573. [11] 李润方,王建军.齿轮系统动力学-振动、冲击、噪声[M].北京:科学出版社,1997:268-269. LI Runfang,WANG Jianjun.Dynamics of gear system:vibration,shock and noise[M].Beijing:Science Press,1997.(in Chinese) [12] 虞烈,刘恒.轴承-转子系统动力学[M].西安:西安交通大学出版社,2001:271.
点击查看大图
计量
- 文章访问数: 1533
- HTML浏览量: 2
- PDF量: 519
- 被引次数: 0