支撑刚度对行星传动系统动态均载特性的影响

考虑了行星架微位移、时变啮合刚度、旋转阻尼和构件自重,建立了行星传动系统动力学微分方程.利用多领域工程系统建模、分析与优化语言Modelica进行求解,分析了各主要构件支撑刚度对行星传动系统均载特性的影响.研究结果表明:刚性支撑条件下,较小的系统误差都将引起行星轮间载荷分配严重不均匀.一个或者多个构件的支撑刚度小于107N/m时系统能获得较好的均载效果.在构件支撑刚度敏感区间,随着该构件支撑刚度的增大,系统均载性能将迅速恶化.多个构件支撑刚度减小时,系统的均载效果比单个构件支撑刚度减小要好.改变其中某个行星轮的支撑刚度会使载荷在行星轮间重新分配,降低某个行星轮的支撑刚度,其分配的载荷减小. 

Impact of support stiffness on dynamic load sharing characteristics of planetary train system

The dynamic differential equation of the planetary train system was set up considering planetary carrier micro displacement, time-varying meshing stiffness, revolution damping and components gravity. The Modelica language for modeling, analyzing and optimizing the engineering system of various fields was used to solve the problem, and the impact of support stiffness of the main components on dynamic load sharing characteristics of this train was analyzed. The research results show that under the condition of rigid support, the load between the planet gears is seriously uneven at a smaller system error. When the support stiffness of one or more components is less than 10⁷N/m, a good load sharing effect of this train could be achieved. The load sharing characteristic of this train is deteriorated rapidly with the increase of this component support stiffness within the support stiffness sensitive range of corresponding component. The load sharing effect for reducing the supporting stiffness of multiple components is better than that of single ones. The load is redistributed between planetary gears while the support stiffness of a planetary gear is changed. When the support stiffness of a planetary gear is cut down, its own load is reduced.