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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.
The general method for calculating the stability of the parameters of the planetary gear nonlinear transmission system is studied.The method chooses a reasonable value of instability threshold, selects the proper numerical integration time according to the motion state of the system in the parameter field, The stability of the planetary gear system is calculated by the following five steps: the maximum displacement response of the system under different combinations within its own range, the comparison of the instability threshold to the stability and the graphical output of the parameter stability domain, etc. Finally, Taking purely torsional nonlinear vibration model of planetary gearwheel as an example, taking the input speed of planetary gearwheel, the flank clearance of the system and the meshing damping coefficient of the gear pair as theexperimental parameters, the single parameter stability region, the two-parameter stability Domain and three parameter stability domain, which provide an important reference for the design value of planetary gear train.