行星齿轮组的动力学 /Dynamics of Planetary Gear-set

摘要:研究行星齿轮组的主要目的是寻找输入和输出轴之间的扭矩比和角速度比。为了达到这个目的传统的方法是用表格方法。表格方法是一个枯燥繁琐的方法,文章旨在通过一种简单直接的新方法来达到研究行星齿轮组的目的。首先构建两个圆柱之间的力转送基本原理,也就是建立两个转动圆柱接触点的力传送机制,来了解动力如何由一个转动柱传送至另一个转动柱。基于所构建的原理,我们可以替不同组合的行星齿轮组建立力传送模型,以便从中寻找传送至输出轴的切线力,继而可算出输出轴的扭矩。输入轴的功率和输出轴功率是一个同等值,当我们得到输出轴的扭矩,也就获得了输出轴的角速度(基于功率是扭矩乘以角速度)。

 

Abstract

The objectives to study planetary gear set often are to find torque ratio and velocity ratio between input and output shaft. This paper aims to achieve these objectives by develop a new method which is kinetics method in compare to traditional kinematics or tabular method. This new method is direct and easy method, developed to study single stage planetary gear set in steady and unsteady state by first establishes the principle of force transfer at contact point between a pair of rotating cylinders. In others words the established principle described the power flow from one rotating cylinder to another by elaborates the force transfer mechanism at contact point between the rotating cylinders. By relying on the established principle, the model of force transfer in single stage planetary gear set for various arrangements could be derived. From the force transfer model of selected planetary gear set arrangement, the force transferred to output shaft of planetary gear set is shown in the free body diagram, hence the output torque could be directly obtained. The power at input and output shaft is a constant, which is equivalent to product of torque and angular velocity. By knowing the torque at output shaft, the angular velocity of output shaft then could be found.

论文经已刊登于/Paper has been published in《科技创新与应用 》ISSN:2095-2945 Publishing date:28 Aoril 2020,12th edition, page 69-70

Click link below for full paper in cnki.net

%d bloggers like this: