波动转矩下渐开线直齿轮传动齿廓修形研究

王成;刘辉;项昌乐

振动与冲击 ›› 2014, Vol. 33 ›› Issue (24) : 32-38.

PDF(2511 KB)
PDF(2511 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (24) : 32-38.
论文

波动转矩下渐开线直齿轮传动齿廓修形研究

  • 王成 , 刘辉 , 项昌乐
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The influence of profile modification on dynamic characteristic of involute spur gears under fluctuation torque

  • WANG Cheng LIU Hui XIANG Changle
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摘要

本文分析了齿轮转速波动和齿面、齿背啮合相位差对啮合点的影响,结合单、双齿啮合和修形边界条件并采用解析法计算啮合刚度,建立了与齿轮实际运动状态和啮合状态相关的非线性啮合刚度模型,该模型可与齿轮非线性动力学方程实时反馈,更加准确地描述了齿轮传动过程中的啮合刚度。建立了考虑间隙、非线性啮合刚度的2自由度单级齿轮传动非线性动力学模型,在波动转矩的作用下,对比研究了齿廓修形参数对齿轮动态特性的影响。研究结果表明:修形量对齿轮动态特性影响显著,存在最优修形量使动载系数达到最小;当修形量超过某临界值齿轮产生单边或双边冲击现象,齿轮动载荷明显增加;外载荷一定,增加修形长度可降低动载系数最小值;波动转矩作用下,齿轮的最大修形量为最小转矩作用下单齿啮合最高点的变形量。

Abstract

The influence of rotational speed fluctuation and the phase shift between forward and backward contact on mesh point position are analyzed, combined with boundary conditions of single tooth meshing, double tooth meshing, profile modification and analytical method of calculating mesh stiffness, the nonlinear mesh stiffness model is established which can achieve real-time feedback with nonlinear model of spur gears and produce more precise mathematical model of gear meshing process. A two-degree-of-freedom nonlinear model of spur gear pair with input torque fluctuation is established by taking the backlash and nonlinear mesh stiffness into consideration. Based on the nonlinear dynamic model, the influence of profile modification on dynamic behavior of spur gear pair is studied. The resluts show that the amount of profile modification significantly affect the dynamic characteristics of spur gear pair, and existing an optimal amount of profile modification to make the dynamic load factor reach to a minimum. When the amount of profile modification exceeds a certain critical value, single-side-impact or double-side-impact occur and gear dynamic loads significantly increase. Increasing the length of profile modification can reduce the minimum value of dynamic load factor under certain input torque. The maximum amount of profile modification should be the combined tooth deflection evaluated at the highest point of single tooth contact under the minimum input torque.

关键词

齿轮传动 / 齿廓修形 / 啮合刚度 / 冲击

Key words

gear transmission / profile modification / mesh stiffness / impact

引用本文

导出引用
王成;刘辉;项昌乐. 波动转矩下渐开线直齿轮传动齿廓修形研究[J]. 振动与冲击, 2014, 33(24): 32-38
WANG Cheng LIU Hui XIANG Changle. The influence of profile modification on dynamic characteristic of involute spur gears under fluctuation torque[J]. Journal of Vibration and Shock, 2014, 33(24): 32-38

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