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

The output characteristics of different installation conditions on the same shaft can be shown: ① On the shaft with non-stationary transmission, the speed, angular acceleration, and torque period are all π, the acceleration extremum lags the speed extremum π/4, and the torque extremum And lag the acceleration extreme value π/4; ② With the increase of the included angle of the universal joint, the instability between the two shafts connecting the universal joint increases, and the greater the input speed and torque, the greater the increase in the output end. The greater the value, the speed of the output shaft fluctuates higher than or equal to the speed value of the input shaft, while the acceleration of the output shaft fluctuates around the zero value, that is, when the output shaft decelerates, the torque of the output shaft is also higher than or equal to the value of the input shaft. The torque value of the input shaft fluctuates up and down; ③ For the two installations of ② and ③, although the transmission is relatively stable, 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 for which the 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. Stationarity is affected. ② The rotational speed, angular acceleration, and torque of each universal joint output shaft differ by one π, that is, one cycle, than the rotational speed, angular acceleration, and torque of its input shaft. ③ When the universal joint is connected in series with the shaft system, the same rotation angle can be used in pairs to realize the synchronous transmission of the shaft system, and the same rotation angle can be used continuously, which can obtain a more stable transmission than the use of the same rotation angle at intervals. The difference between the rotation angles The smaller the shaft system, the smoother the transmission. ④ Analyzing the curve in Figure 6, when multiple different rotation angles are used in series with the shaft system, the order of rotation speed, angular acceleration, and torque of different shafts are the same, and their synchronization reaches the maximum value. The amplitude caused by this shafting has a canceling effect, and there is an approximate linear relationship between the canceling amount and the absolute value of the difference between the front and rear corners. The relationship between the rotation angle, rotational speed, angular acceleration, torque of any shaft in the cross-shaft series shafting system and the rotation angle of the input shaft of the shafting system is deduced, and the Matlab program is used to analyze the transmission speed, angle of rotation of the series shafting by various universal joint angles. Influence of acceleration and torque. From the analysis of the series shafting of the cross shaft universal joint, it can be known that not only the changes of the rotational speed, angular acceleration and torque of the shafting have cycles, but also the installation sequence of the included angle has a great influence on the dynamic characteristics of the shafting. As a guide for the layout design of the shafting transmission system, the acceleration and torque of the intermediate shafting are better controlled while the input and output synchronous transmission of the shafting is realized, which provides a reference for the vibration and noise control of the shafting.