How to calculate the reduction ratio of planetary gear reducer?

Release Time：

2024-10-09

The calculation formula for planetary gear reducers is influenced by factors such as transmission ratio calculation, gearbox efficiency, the relationship between power and speed torque, current, and efficiency.

1. Calculation formula for reduction ratio:

Formula: n1/n2=i

*Definition calculation method: Reduction ratio=input speed ÷ output speed, the ratio of the connected input speed to the output speed. If the input speed is 1500r/min and the output speed is 25r/min, then the reduction ratio is i=60:1

*Calculation method for gear system: Reduction ratio=number of teeth on the driven gear ÷ number of teeth on the driving gear (if it is a multi-stage gear reduction, then multiply the number of teeth on the driven gear of all meshing pairs ÷ number of teeth on the driving gear, and then multiply the results obtained).

2. Transmission ratio calculation formula:

Planetary gearbox: First stage: i=(number of internal gear teeth/number of sun gear teeth)+1

Multi level: i=i1 * i2 * i3

3. Calculation formula for gearbox efficiency:

Planetary gearbox: Stage: η=0.9 * 0.9 * (Normal ST28P \ ST32P \ ST36P \ ST42P are calculated according to this)

56% (ST16P \ ST22P low efficiency calculated based on this, technical department needs to improve)

Multi level: η=η 1 * 0.9, where n is the series