Study on transmission characteristics of cross shaft universal joint series shafting (2)
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- Time of issue:2021-09-10 09:55
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(Summary description) Without considering the influence factors such as friction loss, inertia couple moment caused by angular acceleration of driven shaft and gravity, the torque relationship of input and output shaft can be obtained according to the 72 instantaneous power equality of input and output shaft in 2007 of Journal of Jiangsu University of science and Technology (NATURAL SCIENCE EDITION) Μ ｎ ＝ Μ １· ω １ ω ｎ（８） Μ ｎ ＝ Μ １·１＋（ｉ２ｎ１ －１）ｓｉｎ２ φ 1IN1 (9) observation formula (4) ～ (8) , a conclusion can be drawn that the rotation angle synchronization, speed synchronization, no acceleration and torque synchronization of the input and output shaft of the whole shaft system can be achieved only by making in1 = 1 in the assembly process of the shaft system. Therefore, it can be known that the transmission process of the universal coupling series shaft system can be realized as long as the steering angle of each universal joint is reasonably designed when the above conditions are met Inverse, that is, the instability caused by the former universal joint can be balanced by one or more universal joints behind. In the design process of series shafting, not only the synchronization of the input and output shafts of the whole shafting shall be ensured, but also the smooth transmission of the intermediate shaft shall be achieved as far as possible to avoid the vibration and damage of the shafting caused by the intermediate shaft, that is, the input and output rotation angle of each universal joint shall be reasonably designed during installation α ｋ（ｋ－１）。 Program and analyze the motion characteristics of series shafting Fig. 2 Schematic diagram of universal joint angle Fig. 2 using Matlab's powerful matrix processing ability and convenient and intuitive drawing function, The theoretical formula deduced above is programmed to calculate the transmission characteristics of any cross shaft universal joint series shaft system. The program input variables are: the number of universal joints, the rotation angle realized by each universal joint, the speed and torque of the input shaft. Figure 2 is a schematic diagram of the angle of the universal joint in the installation of a real ship shafting. Under normal operation, the input speed of the shafting is 750r / min (4500 ° / s) and the input torque is 15917n · M. the transmission characteristics of the shafting at four different installation angles are calculated by the program: ① α １＝４°、 α ２＝６°、 α ３＝－６°、 α ４＝－４°； ② α １＝６°、 α ２＝４°、 α ３＝－４°、 α ４＝－６°； ③ α １＝４°、 α ２＝－４°、 α ３＝６°、 α ４＝－６°； ④ α １＝６°、 α ２＝－６°、 α ３＝４°、 α ４＝－４°。 In order to represent the azimuth relationship between the input and output shafts of a universal joint, it is assumed that the clockwise angle is positive and vice versa. The input and output of the four cases are parallel, and the synchronous transmission of the input and output shafts is realized. The dynamic characteristics of each intermediate shaft are analyzed by program. After the program runs, the output of four installation angles is obtained, and the results are shown in Fig. 3 ~ Fig. 5. The relationships between output angle and input angle, output angular acceleration and input angle, output torque and input torque of each axis are displayed respectively, and the relationships between output angle and input angle, output angular acceleration and input angle, output torque and input torque of each axis are displayed.
Study on transmission characteristics of cross shaft universal joint series shafting (2)
(Summary description)
Without considering the influence factors such as friction loss, inertia couple moment caused by angular acceleration of driven shaft and gravity, the torque relationship of input and output shaft can be obtained according to the 72 instantaneous power equality of input and output shaft in 2007 of Journal of Jiangsu University of science and Technology (NATURAL SCIENCE EDITION) Μ ｎ ＝ Μ １· ω １ ω ｎ（８） Μ ｎ ＝ Μ １·１＋（ｉ２ｎ１ －１）ｓｉｎ２ φ 1IN1 (9) observation formula (4) ～ (8) , a conclusion can be drawn that the rotation angle synchronization, speed synchronization, no acceleration and torque synchronization of the input and output shaft of the whole shaft system can be achieved only by making in1 = 1 in the assembly process of the shaft system. Therefore, it can be known that the transmission process of the universal coupling series shaft system can be realized as long as the steering angle of each universal joint is reasonably designed when the above conditions are met Inverse, that is, the instability caused by the former universal joint can be balanced by one or more universal joints behind. In the design process of series shafting, not only the synchronization of the input and output shafts of the whole shafting shall be ensured, but also the smooth transmission of the intermediate shaft shall be achieved as far as possible to avoid the vibration and damage of the shafting caused by the intermediate shaft, that is, the input and output rotation angle of each universal joint shall be reasonably designed during installation α ｋ（ｋ－１）。
Program and analyze the motion characteristics of series shafting Fig. 2 Schematic diagram of universal joint angle Fig. 2 using Matlab's powerful matrix processing ability and convenient and intuitive drawing function, The theoretical formula deduced above is programmed to calculate the transmission characteristics of any cross shaft universal joint series shaft system. The program input variables are: the number of universal joints, the rotation angle realized by each universal joint, the speed and torque of the input shaft. Figure 2 is a schematic diagram of the angle of the universal joint in the installation of a real ship shafting. Under normal operation, the input speed of the shafting is 750r / min (4500 ° / s) and the input torque is 15917n · M. the transmission characteristics of the shafting at four different installation angles are calculated by the program: ① α １＝４°、 α ２＝６°、 α ３＝－６°、 α ４＝－４°； ② α １＝６°、 α ２＝４°、 α ３＝－４°、 α ４＝－６°； ③ α １＝４°、 α ２＝－４°、 α ３＝６°、 α ４＝－６°； ④ α １＝６°、 α ２＝－６°、 α ３＝４°、 α ４＝－４°。 In order to represent the azimuth relationship between the input and output shafts of a universal joint, it is assumed that the clockwise angle is positive and vice versa. The input and output of the four cases are parallel, and the synchronous transmission of the input and output shafts is realized. The dynamic characteristics of each intermediate shaft are analyzed by program. After the program runs, the output of four installation angles is obtained, and the results are shown in Fig. 3 ~ Fig. 5. The relationships between output angle and input angle, output angular acceleration and input angle, output torque and input torque of each axis are displayed respectively, and the relationships between output angle and input angle, output angular acceleration and input angle, output torque and input torque of each axis are displayed.
- Categories:News
- Author:
- Origin:
- Time of issue:2021-09-10 09:55
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Information
Without considering the influence factors such as friction loss, inertia couple moment caused by angular acceleration of driven shaft and gravity, the torque relationship of input and output shaft can be obtained according to the 72 instantaneous power equality of input and output shaft in 2007 of Journal of Jiangsu University of science and Technology (NATURAL SCIENCE EDITION) Μ ｎ ＝ Μ １· ω １ ω ｎ（８） Μ ｎ ＝ Μ １·１＋（ｉ２ｎ１ －１）ｓｉｎ２ φ 1IN1 (9) observation formula (4) ～ (8) , a conclusion can be drawn that the rotation angle synchronization, speed synchronization, no acceleration and torque synchronization of the input and output shaft of the whole shaft system can be achieved only by making in1 = 1 in the assembly process of the shaft system. Therefore, it can be known that the transmission process of the universal coupling series shaft system can be realized as long as the steering angle of each universal joint is reasonably designed when the above conditions are met Inverse, that is, the instability caused by the former universal joint can be balanced by one or more universal joints behind. In the design process of series shafting, not only the synchronization of the input and output shafts of the whole shafting shall be ensured, but also the smooth transmission of the intermediate shaft shall be achieved as far as possible to avoid the vibration and damage of the shafting caused by the intermediate shaft, that is, the input and output rotation angle of each universal joint shall be reasonably designed during installation α ｋ（ｋ－１）。
Program and analyze the motion characteristics of series shafting Fig. 2 Schematic diagram of universal joint angle Fig. 2 using Matlab's powerful matrix processing ability and convenient and intuitive drawing function, The theoretical formula deduced above is programmed to calculate the transmission characteristics of any cross shaft universal joint series shaft system. The program input variables are: the number of universal joints, the rotation angle realized by each universal joint, the speed and torque of the input shaft. Figure 2 is a schematic diagram of the angle of the universal joint in the installation of a real ship shafting. Under normal operation, the input speed of the shafting is 750r / min (4500 ° / s) and the input torque is 15917n · M. the transmission characteristics of the shafting at four different installation angles are calculated by the program: ① α １＝４°、 α ２＝６°、 α ３＝－６°、 α ４＝－４°； ② α １＝６°、 α ２＝４°、 α ３＝－４°、 α ４＝－６°； ③ α １＝４°、 α ２＝－４°、 α ３＝６°、 α ４＝－６°； ④ α １＝６°、 α ２＝－６°、 α ３＝４°、 α ４＝－４°。 In order to represent the azimuth relationship between the input and output shafts of a universal joint, it is assumed that the clockwise angle is positive and vice versa. The input and output of the four cases are parallel, and the synchronous transmission of the input and output shafts is realized. The dynamic characteristics of each intermediate shaft are analyzed by program. After the program runs, the output of four installation angles is obtained, and the results are shown in Fig. 3 ~ Fig. 5. The relationships between output angle and input angle, output angular acceleration and input angle, output torque and input torque of each axis are displayed respectively, and the relationships between output angle and input angle, output angular acceleration and input angle, output torque and input torque of each axis are displayed.
Relevant news
What is clearance and how to measure the clearance of rolling bearing?
1、 Original clearance
Clearance in free state before bearing installation. The original clearance is determined by the processing and assembly of the manufacturer.
2、 Installation clearance
Also known as fit clearance, it is the clearance when the bearing, shaft and bearing seat are installed but not working. Due to interference installation, either the inner ring is increased, or the outer ring is reduced, or both, the installation clearance is smaller than the original clearance.
3、 Working clearance
When the bearing is working, the inner ring has the maximum temperature rise and the maximum thermal expansion, which reduces the bearing clearance; At the same time, due to the load, the contact between the rolling element and the raceway produces elastic deformation, which increases the bearing clearance. Whether the bearing working clearance is larger or smaller than the installation clearance depends on the combined action of these two factors.
Some rolling bearings can not adjust the clearance, let alone disassemble. These bearings have six models, namely 0000 to 5000; Some rolling bearings can adjust the clearance, but can not be disassembled. There are 6000 type (angular contact bearing) and 1000, 2000 and 3000 type rolling bearings with conical holes in the inner ring. After adjustment, the installation clearance of these types of rolling bearings will be smaller than the original clearance; In addition, some bearings can be disassembled and the clearance can be adjusted. There are three types: 7000 (tapered roller bearing), 8000 (thrust ball bearing) and 9000 (thrust roller bearing). These three types of bearings do not have original clearance; For 6000 and 7000 type rolling bearings, the radial clearance is reduced, and the axial clearance is also reduced, and vice versa. For 8000 and 9000 type rolling bearings, only the axial clearance has practical significance.
1、 Original clearance
Clearance in free state before bearing installation. The original clearance is determined by the processing and assembly of the manufacturer.
2、 Installation clearance
Also known as fit clearance, it is the clearance when the bearing, shaft and bearing seat are installed but not working. Due to interference installation, either the inner ring is increased, or the outer ring is reduced, or both, the installation clearance is smaller than the original clearance.
3、 Working clearance
When the bearing is working, the inner ring has the maximum temperature rise and the maximum thermal expansion, which reduces the bearing clearance; At the same time, due to the load, the contact between the rolling element and the raceway produces elastic deformation, which increases the bearing clearance. Whether the bearing working clearance is larger or smaller than the installation clearance depends on the combined action of these two factors.
Some rolling bearings can not adjust the clearance, let alone disassemble. These bearings have six models, namely 0000 to 5000; Some rolling bearings can adjust the clearance, but can not be disassembled. There are 6000 type (angular contact bearing) and 1000, 2000 and 3000 type rolling bearings with conical holes in the inner ring. After adjustment, the installation clearance of these types of rolling bearings will be smaller than the original clearance; In addition, some bearings can be disassembled and the clearance can be adjusted. There are three types: 7000 (tapered roller bearing), 8000 (thrust ball bearing) and 9000 (thrust roller bearing). These three types of bearings do not have original clearance; For 6000 and 7000 type rolling bearings, the radial clearance is reduced, and the axial clearance is also reduced, and vice versa. For 8000 and 9000 type rolling bearings, only the axial clearance has practical significance.
Working condition and suffix meaning of fag self-aligning roller bearing for vibrating machinery
2021-09-10
The rolling bearing installed in the vibration exciter unit of these equipment must be able to withstand heavy load, high speed, acceleration and centrifugal force. Most of these applications work in very harsh environments, such as pollution and humidity. Fag's special self-aligning roller bearing is developed for vibration mechanical conditions and has achieved great success in practical application. In particular, the cage of rolling bearing must be able to withstand the force generated by high radial acceleration. Under worse working conditions, it may also bear the force generated by axial acceleration.
The rotation of the eccentric block will cause the deflection of the rotating shaft and the relative sliding inside the bearing. This will increase friction, resulting in an increase in bearing operating temperature. The dynamic centering capacity of special self-aligning roller bearing can reach 0.15 °. If you need to provide greater centering capability, please contact the industrial application engineer of Schaeffler Group. Basic design of FAG Special self-aligning roller bearing FAG Special self-aligning roller bearing series for vibration machinery is 223, and its main dimensions comply with e DIN 616: 1995-01 and ISO 15 standards. For the special stresses generated in vibrating machinery, FAG provides special self-aligning roller bearings with suffix t41a or t41d, which are described in section 1.5.
X-life self-aligning roller bearing 223-e1 series has very high bearing capacity by maximizing the use of bearing cross-section. For vibrating machinery, the inner diameter of X-life series self-aligning roller bearings available at present can reach 220 mm. 1.2. 1 X-life 223..- E1-t41a (d) series self-aligning roller bearing fag self-aligning roller bearing designed by E1 has no flange and has very high bearing capacity. FAG Special Bearing 223 with suffix t41a or t41d designed for vibrating machinery- E1 series also has this advantage, as shown in Figure 1. This is a new fag standard design for bearings with bearing diameters from 40 mm to 150 mm (bore series 08 to 30).
The rolling bearing installed in the vibration exciter unit of these equipment must be able to withstand heavy load, high speed, acceleration and centrifugal force. Most of these applications work in very harsh environments, such as pollution and humidity. Fag's special self-aligning roller bearing is developed for vibration mechanical conditions and has achieved great success in practical application. In particular, the cage of rolling bearing must be able to withstand the force generated by high radial acceleration. Under worse working conditions, it may also bear the force generated by axial acceleration.
The rotation of the eccentric block will cause the deflection of the rotating shaft and the relative sliding inside the bearing. This will increase friction, resulting in an increase in bearing operating temperature. The dynamic centering capacity of special self-aligning roller bearing can reach 0.15 °. If you need to provide greater centering capability, please contact the industrial application engineer of Schaeffler Group. Basic design of FAG Special self-aligning roller bearing FAG Special self-aligning roller bearing series for vibration machinery is 223, and its main dimensions comply with e DIN 616: 1995-01 and ISO 15 standards. For the special stresses generated in vibrating machinery, FAG provides special self-aligning roller bearings with suffix t41a or t41d, which are described in section 1.5.
X-life self-aligning roller bearing 223-e1 series has very high bearing capacity by maximizing the use of bearing cross-section. For vibrating machinery, the inner diameter of X-life series self-aligning roller bearings available at present can reach 220 mm. 1.2. 1 X-life 223..- E1-t41a (d) series self-aligning roller bearing fag self-aligning roller bearing designed by E1 has no flange and has very high bearing capacity. FAG Special Bearing 223 with suffix t41a or t41d designed for vibrating machinery- E1 series also has this advantage, as shown in Figure 1. This is a new fag standard design for bearings with bearing diameters from 40 mm to 150 mm (bore series 08 to 30).
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