人字齿行星传动系统非线性动力学特性分析

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.