人字齿行星传动系统非线性动力学特性分析

Nonlinear dynamic analysis of a herringbone planetary gear system

本文对船用人字齿封闭差动行星传动系统在空载或轻载工况下出现的倍频振动问题进行了非线性动力学特性分析。根据系统中太阳轮浮动的结构特性,结合实际工况,通过考虑齿轮间隙和重力作用,采用理论研究及数值仿真方法分析了系统在空载或轻载工况下输出轴转频的倍频及其谐频的频率响应成分问题。通过分析齿轮啮合存在的3种状态,得到了变形量函数并提出了啮合力表达式。数值计算结果表明:当系统处于空载或轻载工况时,输出轴会产生输入轴的多倍频及其谐频的频率响应成分,且与行星轮数量有直接关系,当输入扭矩增大时至重载时,输出轴的倍频响应成分消失。

In this paper,the nonlinear dynamic characteristics of a closed,double-level,differential planetary gear train were analyzed.Such a system is commonly used in practical engineering under no-load or light-load conditions.Based on the floating structure characteristics of the sun gear in the system,combined with the working conditions,and considering gear clearance and gravity,theoretical research and numerical simulation were used to analyze the frequency doubling of output shaft rotation frequency and the frequency response components of harmonic frequency under no-load or light-load working conditions in an experimental planetary gear system.By analyzing three states of the gear mesh conditions,the deformation function and meshing force expressions were derived.The numerical results showed that the output axis will generate multi-frequency multiplication of the input axis and its harmonic frequency response components when the system is under no-load or light-load conditions The output axis has a direct relationship with the number of planetary gears.When the input torque increases to heavy-load,the doubling frequency's responding composition of the output axis disappears.