含时变刚度及侧隙的多级齿轮系统非线性动力学特性分析

胡 鹏;路金昌;张义民

振动与冲击 ›› 2014, Vol. 33 ›› Issue (15) : 150-156.

PDF(1255 KB)
PDF(1255 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (15) : 150-156.
论文

含时变刚度及侧隙的多级齿轮系统非线性动力学特性分析

  • 胡 鹏, 路金昌, 张义民
作者信息 +

Non-linear dynamic numerical analysis of a multi-stage gear system with time-varying mesh stiffness and backlash

  • HU peng LU Jin-chang ZHANG Yi-min
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文章历史 +

摘要

对某伺服刀架动力传动部分的直齿圆柱齿轮系统进行模型简化,考虑啮合过程中时变啮合刚度,齿轮静态传递误差及齿侧间隙的影响,建立四级传动系统非线性动力学方程组。采用Runge-Kutta法对方程组进行数值求解,分析系统在不同转速,不同的啮合刚度的作用下,输入端和输出端齿对的动态传递误差(DTE)和动态啮合力的变化趋势。由于存在非线性,系统对参数的变化较为敏感,仿真显示齿对的啮合状态比例及稳定性在不同转速段存在较大差异,且对DTE及动态啮合力的值有较大影响。该结果为实现动力传动系统的平稳性提供了参考依据,具有较强的工程实际意义。

Abstract

As a part of a certain servo turret, the model of the power transmission spur gear system is simplified. The vibration differential equations of the four-stage gear transmission system, including time-varying parameters and piecewise linearity functions, are established. In the proposed model, time-varying meshing stiffness, static transmission error and backlash are considered. The equations are solved by using Runge-Kutta method. The analysis of the dynamic transmission error (DTE) and dynamic meshing force of input and output gear pairs is given in different speed and meshing stiffness. Because of the nonlinearity, the respond of the system is sensitive to the parameters variation. The result show that meshing state ratio and meshing stability are great different in different rotational speed section. And it also has great effect on the DTE and dynamic meshing force. This result provides the reference for the smoothness of the power transmission system and has strong actual engineering significance.

关键词

时变啮合刚度 / 齿侧间隙 / Runge-Kutta法 / 动态传递误差 / 动态啮合力

Key words

time-varying meshing stiffness / backlash / Runge-Kutta method / DTE / dynamic meshing force

引用本文

导出引用
胡 鹏;路金昌;张义民. 含时变刚度及侧隙的多级齿轮系统非线性动力学特性分析[J]. 振动与冲击, 2014, 33(15): 150-156
HU peng LU Jin-chang ZHANG Yi-min. Non-linear dynamic numerical analysis of a multi-stage gear system with time-varying mesh stiffness and backlash[J]. Journal of Vibration and Shock, 2014, 33(15): 150-156

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