支承轴承作用下齿轮系统动力学分析

发布时间：2018-03-20 08:06

本文选题：动力学分析　切入点：齿轮系统　出处：《机械设计与制造》2016年04期 　论文类型：期刊论文

【摘要】：基于牛顿动力学原理,建立了非线性直齿齿轮副系统数学模型,在Matlab软件环境中采用四阶Runge-Kutta方法求解数值解,分析了齿轮系统启动时支承轴承的支承刚度,支承阻尼对直齿齿轮系统中齿轮位移振动,齿轮相对位置变化以及齿轮动态传递误差的动力学影响。结果表明,主动轮与从动轮的相对位移在中、高频区的位移振动随齿轮轴承支承刚度增加而增强,且振动频率从低频向中高频偏移。增大支承阻尼能减缓齿轮啮合时沿啮合线方向的相对位移振动,改善低频区的传动效果。轴承支承刚度的增加使齿轮动态传递误差振动加剧,影响齿轮转动精度;支承阻尼变化不影响齿轮动态传递误差的振动频率,只改变振动幅值。
[Abstract]:Based on Newtonian dynamics principle, the mathematical model of nonlinear spur gear pair system is established. The fourth order Runge-Kutta method is used to solve the numerical solution in the Matlab software environment, and the supporting stiffness of the bearing is analyzed when the gear system starts. The effect of supporting damping on the displacement vibration of gear, the relative position change of gear and the dynamic transmission error of gear in spur gear system are studied. The results show that the relative displacement of the drive wheel and the slave wheel is in the middle. The displacement vibration in the high frequency region increases with the increase of the bearing stiffness, and the vibration frequency shifts from low frequency to middle high frequency. Increasing the support damping can reduce the relative displacement vibration along the meshing line of the gear. With the increase of bearing stiffness, the vibration of gear dynamic transmission error is aggravated, and the gear rotation accuracy is affected. The change of bearing damping does not affect the vibration frequency of gear dynamic transmission error, but only changes the vibration amplitude.
【作者单位】：江苏大学微纳米科学技术研究中心;常州大学机械工程学院;
【分类号】：TH132.41

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