考虑齿面变摩擦系数的斜齿轮传动变速过程动力学分析

刘长钊 秦大同 廖映华

振动与冲击 ›› 2014, Vol. 33 ›› Issue (24) : 150-157.

PDF(2842 KB)
PDF(2842 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (24) : 150-157.
论文

考虑齿面变摩擦系数的斜齿轮传动变速过程动力学分析

  • 刘长钊 秦大同 廖映华

作者信息 +

Dynamic Model for Parallel-Axis Helical Gears Transmission System Based on Variable Friction Coefficient between the Contact Teeth

  • LIU Chang-zhao QIN Da-tong LIAO Ying-hua

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摘要

本文建立了含齿面摩擦的平行轴斜齿圆柱齿轮传动变速过程动力学模型,在建立模型时,接触线的位置和滑动速度是由主动轮转角确定,使用齿轮线位移和角位移作为广义坐标,因此这样的模型可适用于斜齿轮传动系统的变速过程分析,而且在该模型中,齿面摩擦力是用变摩擦系数获得的。选择一对斜齿轮对其加速过程进行数值计算,并与采用定摩擦系数和不考虑摩擦的计算结果在时域和魏格纳分布上进行对比分析,结果发现:摩擦会降低斜齿轮传动系统出现脱啮现象的临界转速,且具有阻尼和激励的双重作用,能改变斜齿轮传动的动力学响应,而且采用变摩擦系数或定摩擦系数所获得的动力学响应也有所不同。

Abstract

a dynamic model for parallel-axis helical gears is proposed including friction between the contact teeth which can be used in dynamic analysis of variable speed process. In this model, the position of the action line and sliding velocity are determined by the angular displacement of the driving gear, and the translational displacements and angular displacements are chosen as generalized coordinates, so the model can be used in analysis of the process of variable speed of gear transmission system, furthermore the friction is calculated by variable friction coefficient. The acceleration process of an example is numerically simulated with the model proposed in this paper and the dynamics responses are compared with that from the model utilizing constant friction coefficient and without friction. Some conclusion can be obtained from the comparison: friction decreases the critical speed of meshing aparting of helical gear transmission and has effects of damping and excitation, which affects the dynamic responses of helical gears. Moreover, the variable friction coefficient has different effects on the dynamic responses of helical gears than the constant friction coefficient.


关键词

斜齿轮 动力学模型 齿面摩擦 变摩擦系数 变速过程

Key words

Helical gears Dynamic model Friction between contact teeth Variable friction coefficient Variable speed process

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刘长钊 秦大同 廖映华. 考虑齿面变摩擦系数的斜齿轮传动变速过程动力学分析[J]. 振动与冲击, 2014, 33(24): 150-157
LIU Chang-zhao QIN Da-tong LIAO Ying-hua. Dynamic Model for Parallel-Axis Helical Gears Transmission System Based on Variable Friction Coefficient between the Contact Teeth[J]. Journal of Vibration and Shock, 2014, 33(24): 150-157

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