• Categories:News
• Author:
• Origin:
• Time of issue:2021-09-10 09:54
• Views:

(Summary description) The cross shaft universal energy-saving enables two shafts that are not on the same axis or have a large axis angle to rotate continuously at constant angular speed, and reliably transmit torque and motion. Its biggest characteristics are compact structure, high transmission efficiency, large transmission torque and convenient maintenance. In marine engineering, the cross shaft universal joint is commonly used to connect several intermediate shafts in series to form the propulsion shaft system. In the propulsion shaft system, its main purpose is to transmit power and torque, offset radial, axial and angular errors, compensate the oscillation caused by rotating momentum, adjust the propulsion power during starting and reversing, and provide anti overload protection [1]. The transmission of the cross shaft universal joint will produce additional load, vibration and noise. The additional load will also cause the bending vibration of the components connected with the cross shaft universal joint, and may also cause periodic radial load at the input shaft, output shaft and support of the universal joint, thus arousing the vibration at the support. References [2] to [7] analyze the transmission characteristics of single cross shaft universal joint and double cross shaft universal joint, but in practical application, several universal joint series shafting are often used. The previous literature lacks the research on how various angles affect the transmission characteristics of shafting when any universal joint series shafting. Therefore, it is necessary to study any universal joint The modeling and Simulation of the system with any angle in series are carried out to analyze how the steering angle of various universal joints affects the speed, angular acceleration and torque of each shaft in the shaft system. This paper analyzes the shafting with any universal joint and multiple angles in series. The universal joint is not only the cause of unstable shafting movement and increasing shafting vibration, but also can offset this negative effect by reasonably arranging the position and angle of the universal joint in shafting design, and using the interaction between multiple universal joints to ensure the constant speed rotation and transmission of the same torque of the connecting shaft as much as possible, So as to suppress the friction and vibration generated in the transmission, so as to prolong the service life of shafting components and reduce vibration and noise [8]. The mechanism principle and motion diagram of single cross shaft universal joint are shown in Figure 1. Schematic diagram of driving shaft with universal joint? 1. Driven shaft angle? 2. Included angle of driving and driven shafts α There is such as Xiaguan [3] tan φ ２ ＝ｔａｎ φ １ ｃｏｓ α 1 (1) when the initial position of the crosshead associated with the driving shaft fork is located in the horizontal plane, its transmission relationship can be regarded as the former case φ １、 φ When the initial angle of 2 is added by 90 ° respectively, the rotation angle relationship of 2 and 3 can be obtained. Replace equation (1) into equation (2) to obtain tan φ ３ ＝ｃｏｓ α ２ ｃｏｓ α １ ｔｎ φ 1 (3) that is, the transmission relationship between the master and slave shafts of the double cross shaft universal coupling is obtained. If the conditions are met: ① all shafts are located in the same plane; ② the forks of the forks at both ends of the intermediate shaft (or the flange forks at both ends of the same shaft) are located in the same plane, the formula (3) is extended to obtain the transmission relationship Tan of the series shaft system of any cross shaft universal coupling φ ｎ ＝ｃｏｓ α ２·ｃｏｓ α ４·ｃｏｓ α ６…ｃｏｓ α ｎ－１ ｃｏｓ α １·ｃｏｓ α ３·ｃｏｓ α ５…ｃｏｓ α ｎ－２ｔａｎ φ 1 (n is odd) (4) Tan φ ｎ ＝ｃｏｓ α ２·ｃｏｓ α ４·ｃｏｓ α ６…ｃｏｓ α ｎ－２ ｃｏｓ α １·ｃｏｓ α ３·ｃｏｓ α ５…ｃｏｓ α ｎ－１ｔａｎ φ 1 (n is an even number) (5) let in1 = cos α ２·ｃｏｓ α ４·ｃｏｓ α ６…ｃｏｓ α ｎ－１ ｃｏｓ α １·ｃｏｓ α ３·ｃｏｓ α ５…ｃｏｓ α N-2 (or COS) α ２·ｃｏｓ α ４·ｃｏｓ α ６…ｃｏｓ α ｎ－２ ｃｏｓ α １·ｃｏｓ α ３·ｃｏｓ α ５…ｃｏｓ α N-1), after deriving the time on both sides of equation (4) and equation (5), the speed relationship between the master and slave shaft can be obtained ω ｎ ＝ ｉｎ１１＋（ｉ２ｎ１ －１）ｓｉｎ２ φ １· ω 1 (6) when the driving shaft rotates at a uniform speed, dwdt = 0, the relationship between the angular acceleration speed of the driven shaft and the rotation angle of the driving shaft is obtained by deriving the time on both sides of equation (5) α ｎ ＝－ ｉｎ１（ｉ２ｎ１ －１）ｓｉｎ２ φ １［１＋（ｉ２ｎ１ －１）ｓｉｎ２ φ １］２· ω。