Design and rotation structure design of high-speed helical gear helix angle ZHAN Dong-an FAN Yun-yu 2 YANG Jun-ru 2, WANG Shu-ren1 (1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, China; 2. Department of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Tai'an, Shandong 271019, China) The design principle of the spiral twist structure provides a basis for the structural design of the gear transmission.
Tangential force: Ft-radial force: Fr=- 1 Overview The gear transmission mainly transmits the power through the meshing action of the teeth and realizes the purpose of shifting or reversing. In the transmission device, the helical gear transmission member is often used to improve the transmission quality index, such as large overlap coefficient, stable operation, low vibration and low noise, etc. The helical gear described herein can be divided into single helical gear and double helical gear (human) Word teeth). However, in the practical application of helical gears, the choice of the size of the helix angle and the arrangement of the spiral direction structure have not attracted enough attention. The choice of helical angle of the helical gear is related to many factors, and improper value will bring undesirable effects. In high-speed, heavy-duty gear transmission and ordinary gear transmission, the helical gear rotation structure design is different; in the speed and speed reduction device, the helical gear rotation structure design is also different. This paper analyzes the above two aspects and provides the basis for the transmission design of turbomachinery, petrochemical machinery, lifting and transporting machinery and engineering machinery.
2 The selection of the helix angle of single and double helical gears is high (25m/s). In order to achieve high-speed operation, the helical gear transmission is often used to increase the joint. The selection of the helical angle of the helical gear (single helical gear and double helical gear) mainly affects the following factors: if the friction between the tooth surfaces is neglected, the gear force condition d1 small gear index circle diameter, mm; K index circle Helix angle; an normal (standard) pressure angle.
It can be seen from the above various formulas that within the range of the helix angle, as the helix angle is large, the radial force is increased slowly, and the axial force is added significantly. Therefore, when selecting the helix angle, the axial bearing capacity of the bearing and the stability of the transmission motion should be considered.
In the helical gear transmission, the coincidence degree is the sum of the end surface coincidence degree aa and the axial coincidence degree. The larger the coincidence value, the more the number of teeth meshed at the same time, and the smoother the transmission. In order to ensure the continuity of the gear transmission, the end face coincidence degree a>1 is required; in order to make the fluctuation of the contact line length during the meshing process small, the calculation formula of >2.2. coincidence degree should be 19: (Zhan Dongan Baodingren Associate Professor uishi 1 Tianjin Grand) fs mechanical engineering mobile station after the scholar. Http:// call) ai, a2 - respectively, small, large gear tooth tip round pressure angle; a - end face feeding angle; mn one normal (standard) modulus, mm; b one tooth width , mm. From the above various equations, the end face coincidence degree Ea decreases slowly with the large helix angle; the axial coincidence degree £3 is larger and larger with the helix angle. Considering the sum of the two, the degree of coincidence E is large as the helix angle is large. Theoretically, the tooth width b and the helix angle are not limited, so the degree of coincidence E of the helical gear can reach a large value, but it is considered from the aspects of manufacturing installation precision, structural configuration, large axial force, and increased wear of the tooth surface. Should be limited. Therefore, when selecting the helix angle, it should be considered comprehensively.
During the gear transmission, the tooth meshing point M moves along the meshing line. Except for the node P, the tangential linear velocity of the tooth profile at each point is different in magnitude and direction, and there is relative sliding between the two tooth faces, and the sliding speed is (z2―Zi)+1m (C02-Ybi, Yb2- are small, large gear base circle radius, mm; - respectively, small, large gear angular velocity, rad / s; at - end face indexing circular pressure angle; high, The temperature difference is between 10 and 15 C. The thermal expansion will make the pitch and axial pitch of the pinion gear relatively larger than the large gear, which will affect the tooth load distribution. At the same time, due to the different spiral directions, It will also change the distribution law of the tooth direction load. Based on the pinion gear, the power input from the pinion will be the speed reducer; the power output from the pinion will be the speed device. By this classification, we have high speed gear transmission and common gear transmission. The design of the torsion structure of the medium single helical and double helical helical lines presents specific design principles.
3.1 High-speed gear transmission of the reduction gear: The spiral rotation direction should be such that the helix angle caused by the force deformation is large and the spiral angle caused by the temperature difference between the large and small gears is reduced.
Single helical gear: The pinion of the pinion should be on the power input side, as shown in (a); double helical gear: the pinion of the pinion should be on the outside, as shown in (b).
Ordinary gear transmission: the spiral direction of the spiral should be caused by the deformation of the pinion to the impact of the cushioning end.
Single helical gear: the pinion end of the pinion should be on the non-power input side, as shown in (a); double helical gear: the pinion end of the pinion should be inside, as shown in (b) from the above formula, with the helix angle The large sliding speed considers the influence of the size of the helix angle on the above factors. The recommended range of the helix angle is 12. Double helical teeth: =22~45°, P=25~35 is preferred, in addition to the gear In the transmission device, if there is multi-stage transmission, the helix angle of the front-stage transmission pair should be too large, and the helix angle of the final-stage transmission pair should be small, which is beneficial to reduce vibration, reduce noise, reduce axial component, etc. The input movement is smooth.
3 Single and double helical gears Rotating structure design The determination of the spiral direction of the helical gear has many factors to consider, mainly including the force deformation, the axial force direction, and the general gear transmission spiral rotation direction of the device's temperature reduction device. Design 3.2 speed increasing device high speed gear drive single helical gear: the pinion of the pinion is on the non-power input side, as shown in (a); double helical gear: the pinion of the pinion should be on the inside, such as (b) Shown.
Ordinary gear small transmission single helical gear: the pinion end of the pinion should be on the power input side, as shown in (a); the degree field and other factors are 15 ang, the temperature of the gear is larger than that of the large gear: the gear The biting end should be outside the extension / U. (b).
High-speed gear transmission in the speed-increasing gear design of the spiral gear in the design of the speed-increasing device. The conclusion of the general gear-gear spiral direction is as follows. (1) The selection of the helical angle of the helical gear is the force of the gear, the coincidence of the gear teeth, and the sliding wear of the tooth surface. In terms of other factors, the recommended numerical value of the helix angle is: single helical gear 卩 = 10 high-speed gear transmission and ordinary gear transmission, single helical gear or helical helical spiral design is different; speed and deceleration In the transmission, the spiral direction of the helical gear is different from the force analysis. Usually, the transmission cannot be used in reverse.

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