十字轴万向传动轴输出角速度特性分析

摘要

Using the functional relationships among the initiative input angle, input angular velocity and output angular velocity of a single-cross universal joint, we derive the functional relationship of the transmission shaft composed of two cross universal tandem joints under the condition that three shafts are located in different planes. With these functional relationships, we verify the constant-velocity condition of the cress universal transmission shaft. Then we use the step-by-step search algorithm to determine the optimal phase angle that leads to the minimum fluetuation of the output angular velocity under the varying-velocity condition and to search the maximum and minimum values of the output angular velocity and their corresponding input angles. Finally, we use an ADAMS simulation example to verify that the output angular velocity function and the step-by-step search algorithm are correct.%以由两个十字轴万向节串联组成的传动轴为研究对象，以单十字轴万向节输出角速度计算公式为基础，通过研究两级输入转角之间的关系，推导出了三轴不同面时输出角速度与输入转角、输入角速度之间的函数关系。通过该函数关系，对十字轴万向传动轴等速条件进行了验证，并运用逐步搜索的方法编程确定了不等速条件下使输出角速度波动最小的相位角，在相位角确定时逐步搜索出输出角速度的最大值、最小值及其对应的输入转角。ADAMS仿真实例对输出角速度函数和逐步搜索算法的正确性进行了验证。