Research on transmission characteristics of cross-shaft universal joint series shafting (3)

The output characteristics under different installation conditions on the same shaft can be displayed: ① On a non-stable transmission shaft, the speed, angular acceleration, and torque cycle are all π, the acceleration extreme value lags behind the velocity extreme value π/4, and the torque extreme value And the lagging acceleration extreme value π/4; ② With the increase of the angle of the universal joint, the unevenness between the two shafts of the universal joint increases, and the greater the input speed and torque, the increase in the output caused by it The larger the value, the speed of the output shaft fluctuates higher than or equal to the speed of the input shaft, while the acceleration of the output shaft fluctuates at zero. That is, when the output shaft decelerates, the torque of the output shaft is also higher than or Equal to the input shaft torque value fluctuates up and down; ③ Although the transmission is relatively stable for the two installation conditions of ② and ③, there are requirements for the installation environment, that is, there must be an intermediate platform in the shaft system to ensure that the first, third, and fifth axes are parallel. The output display of the same installation situation on different shafts: ① For the shaft system whose installation angle of each universal joint is determined, the installation sequence of the rotation angle will not affect the input and output characteristics of the shaft system, only the intermediate shaft system There is an impact on stability. ② The speed, angular acceleration, and torque of the output shaft of each universal joint are different from the speed, angular acceleration, and torque of the input shaft by one π, that is, one cycle. ③When the universal joint shaft system is connected in series, the same rotation angle can be used to realize the synchronous transmission of the shaft system, and the same rotation angle can be used continuously, and a more stable transmission can be obtained than using the same rotation angle at intervals. The difference between the rotation angles The smaller the shaft system, the more stable the transmission. ④ Analyze the curve in Figure 6, when multiple shafts with different rotation angles are connected in series, the order of rotation speed, angular acceleration, and torque of different shafts is the same, and each reaches the maximum value synchronously. The amplitude caused by this shafting has a canceling effect, and the canceling amount has an approximate linear relationship with the absolute value of the difference between the front and rear rotation angles. The relationship between the rotation angle, speed, angular acceleration, torque of any axis in the cross-shaft series shafting system and the shafting input shaft rotation angle is deduced. The compiled Matlab program is used to analyze the transmission speed and angle of a variety of universal joint rotation angles to the series shaft system. The influence mode of acceleration and torque. From the analysis of the cross-shaft universal joint series shafting, it can be known that not only the rotation speed, angular acceleration, and torque of the shafting system have cycles, but the installation sequence of the included angle has a great influence on the dynamic characteristics of the shafting system, and the influence law can be As a guide for the layout design of the shafting transmission system, it can better control the acceleration and torque of the intermediate shafting while realizing the input and output synchronous transmission of the shafting, and provide a reference for the vibration and noise control of the shafting.