Dioctyl Adipate,Plasticizer Dioctyl Adipate,Environmental Plasticizer,Chemical Plasticizer Shandong Langhui Petrochemicals CO.,LTD , https://www.langhuiplasticizer.com
Characteristics of elliptical gear transmission Different types of non-circular gear mechanisms have different motion laws. In practical applications, suitable non-circular gear types should be selected according to specific transmission requirements. The control requirement of the stepping transmission of the linkage vacuum packaging machine station is as follows: the output end of the reduction gear box is rotated one turn, and the driving sprocket shaft for driving the stepping can also be rotated one turn, that is, the output end of the reduction gear box and the driving chain of the driving stepping. The total gear ratio of the axle is 11. Therefore, we have selected a pair of non-circular gears of the same elliptical type to achieve a ratio ratio transmission with a total transmission ratio of 11.
Let the center of rotation of the two elliptical gears be a focus O1, O2 of the respective ellipse, the long axis is 2a, the moment axis is 2b, the distance between the two focal points is 2c, the point P is the node, A is the center distance, and r1, r2 are the meshes. In the radial direction, the driving wheel 1 is rotated at an angular velocity of 1 to an angle d1, and the driven wheel 2 is accordingly rotated at an instantaneous angular velocity 2 by an angle d2.
The CAD process of an elliptical gear is usually calculated and judged repeatedly when a pair of non-circular gears are designed. Therefore, it is very difficult to use a computer. Moreover, in most cases, the pitch curve equation of the non-circular gear is difficult to express a clear mathematical expression with integral, and further formula derivation according to the curve curve equation is required, which brings great difficulty to the design of the non-circular gear. Therefore, the general computer program is usually adopted to carry out high-precision computer arc approximation for the non-circular gear section curve, thereby avoiding complicated formula derivation and simplifying the design.
According to the characteristics of the pair of elliptical gears used in the same way, the perimeter of the elliptical section curve is obtained by means of the perimeter query function under the query menu in CAX, which avoids complicated formula derivation and guarantees the section curve. Design accuracy. The CAD process is as follows: a) Determine the eccentricity e according to the requirements of the shifting law; b) Determine the modulus m and the number of teeth Z (take an odd number) according to the requirements of the gear strength and the transmission structure size; c) Initially determine the long axis a1 and short The axis b1=a11-e2, according to which the elliptic section curve L1 is made; d) the circumference of the elliptic section curve L1 is queried, and S1 is obtained; e) comparing S=mz with S1, obtaining k1s1; f) by a2=k1a1 and B2=k1b1 for the elliptic node curve L2; g) repeat the above df, when Sn-SS, then an, bn is the desired; h) determine the center distance A: A = 2a; i) calculate the minimum curve of the pitch curve Rate radius: min=a(1-e2); j) Calculate the maximum modulus without die cutting: mmax2a(1-e2)/17; k) Calculate the maximum value of the pressure angle: =arctan(-1-e2 /e) n-2.
The parameters of the elliptical gear and its application effects are calculated by the above CAD process. The elliptical gear parameters are: m=2, z=39, e=0.398, a=40.680, b=37.315, c=16.200, a=81.360 curve week Long error S=0.0002 related parameter check: min=34.236; mmax=4.028>2 (no undercut);=43.45<50 gear ratio: imin=2min=1-e1 e=0.431imax=21max=1 The transmission process of e1-e=2.322 station step is as shown.
It can be seen that the stepping speed at the end of the stepping of the adjacent station is 0.431 times that of the original uniform speed transmission, thereby achieving the purpose of reducing the speed and increasing the moment. After the pair of elliptical gears with the above parameters are driven, the interlocking vacuum packaging machine continuously and stably guarantees the requirement of the station error of 1 mm, and has received good results.
February 26, 2023