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Question:

How to calculate the transmission ratio of the main reducer?

How to calculate the transmission ratio of the main reducer?

Answer:

The bearing capacity and life of the reducer depend on the strength of the weakest gear. Only satisfied with the strength, can pass, but not all levels, such as the general intensity, often lead to a great waste of carrying capacity and service life. In order to reduce the number of gears, the universal reducer usually takes the same parameters in the single-stage and multistage gears with the same center distance and the same transmission ratio. When the A and I are more dense, it is easy to achieve equal intensity distribution at all levels. When the A and I settings are sparse, it is difficult to achieve equal intensity. By equal strength design, approximately half of the product capacity can be increased by 10%-20% compared to the general reducer designed without equal strength.And strength compared to the big gear at all levels of the immersion depth is close to minor principle, even if the high-speed gear does not soak oil, by the structure design can also try to make it get sufficient lubrication.
Allocation principle:The distribution of the transmission ratio at various levels directly affects the bearing capacity and service life of the reducer, as well as its volume, weight and lubrication. The transmission ratio according to the following principles: the general distribution levels of transmission capacity is approximately equal to the size and quality of the smaller; deceleration device; the speed of each gear circumference smaller; using oil bath lubrication, the large gear immersion depth of every gear pair are small.The large gear at low speed directly affects the size and weight of the reducer, and reduces the transmission ratio at low speed. That is to reduce the size and weight of the low speed gear and the body bearing it. Increase the transmission speed level, which increases the high speed large gear size, reduced and low-speed large gear size difference, also conducive to all levels of gear oil bath lubrication; at the same time high-speed small gear size, high speed and reduced the circumferential speed behind each gear, to reduce noise and vibration. To improve the stability of drive. Therefore, under the condition of satisfying the strength, the last stage drive ratio is smaller and more reasonable.
Calculation method:Transmission ratio = 9550 / / use the torque motor power motor power input speed, use coefficientGear ratio = active speed divided by the value of the speed of the driven wheel = the reciprocal of their pitch diameter. Namely: i=n1/n2=D2/D1I=n1/n2=z2/z1 (gear)For multistage gear drive: 1., the transmission ratio between each two shafts is calculated according to the formula above. 2. the total transmission ratio from the first axis to the N axis is equal to the product of the transmission ratios at all levels.
The transmission ratio is the ratio of the angular velocity of the two rotating members in the mechanism, also called the speed ratio. The transmission ratio of the component A and the component B is i= Omega a/ Omega b=na/nb, and the Omega A and Omega B in the formula are the angular velocity (radian / sec) of the component A and B respectively; Na and Nb are the rotational speed of the component A and the B respectively (Rev / min). When the angular velocity is instantaneous, the transmission ratio is the instantaneous drive ratio. When the angular velocity is average, the drive ratio is the average drive ratio. Theoretically, for most involute gear profiles, the instantaneous drive ratio is constant; for the chain drive and the friction wheel drive, the instantaneous gear ratio is varied. For meshing transmission, the transmission ratio can be expressed by the number of teeth Za and Zb of the A and B wheels; i=Zb/Za; for the friction drive, the transmission ratio can be expressed by the diameters of a and B wheels, Da and Db, i=Db/Da.

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