摘要
齿轮重载啮合中发生的轮齿接触损失会引起齿轮传动中的动态传递误差,动态传递误差的存在是等高齿锥齿轮非线性振动的重要原因,准确预测和计算等高齿锥齿轮传动中的动态传递误差是进一步改善这类齿轮系统振动特性的有效手段。针对某重载等高齿锥齿轮,研究了其在一定运行速度和扭矩范围内的频率响应特性;运用一种新的曲面积分与局部有限元联合求解方法求解了等高齿锥齿轮传动中的动态传递误差,从而揭示出此类传动系统振动的强非线性特性。这种方法无需将时变拟合刚度和啮合频率变量等非线性因素作为外部的激励进行求解,而是从齿轮啮合的每一时步,计算动态啮合力以及动态传递误差,最终得出等高齿锥齿轮的非线性振动特性。该方法可以精确表达轮齿几何及轮齿接触力等因素对齿轮动力学性能的影响,为等高齿锥齿轮这类复杂振动特性的传动系统提供了一种行之有效的分析方法。
Abstract
Gear tooth contact loss will occurs under heavy load condition,which causes the dynamic transmission error of the gear pair. The transmission error is the important factor cause the nonlinear vibration of cycloid bevel gear. It’s critical method to improve the vibration characteristics of gear system by prediction and calculation the dynamic transmission error of the cycloid bevel gear. In the paper, the dynamic response characteristic of cycloid bevel gear is researched under a range of operation speeds and torques condition. A new approach of surface integral and local FEM is proposed to solute the dynamic transmission error. And then, the strong nonlinear vibration characteristics of gear system are revealed. According to the approach, the nonlinear factors, such as the time-varied stiffness and meshing frequency variation, are no longer considered as the excitation. However, every time step of gear meshing is considered to calculate the dynamic mesh force and dynamic transmission error, and finally the nonlinear vibration characteristic of cycloid bevel gear is obtained. The approach can precisely present the key factors of the tooth, including the tooth geometry and tooth contact stress, which influences the dynamic characteristic of the cycloid bevel gear significantly and provides an effective method for the analysis of complex vibration characteristics of cycloid bevel gear transmission system.
关键词
等高齿锥齿轮 /
非线性振动 /
曲面积分 /
有限元 /
联合求解方法
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Key words
cycloid bevel gear /
nonlinear vibration /
surface integral /
FEM /
integrated solution approach.
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刘志峰;蒋凤麒;杨文通;蔡力钢.
等高齿锥齿轮非线性振动特性的联合求解方法 [J]. 振动与冲击, 2012, 31(10): 49-52
LIU Zhi-feng;JIANG Feng-qi;YANG Wen-tong;CAI Li-gang.
integrated solution approach for the non-linear vibration characteristic of cycloid bevel gear[J]. Journal of Vibration and Shock, 2012, 31(10): 49-52
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脚注
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