21.Calculation formula for drive roller converter

21. Calculation formula for drive roller converter Symbol description and unit
Calculation formula for drive roller converter (1)α: Angle between sprocket teeth [ Every time]
α=360/Z1
α=



(2)Tangent force required to transport the transported object at the roller outer diameter position [kgf]
F1=W*f1*L
F1=



(3)The force required to rotate the rollers at the drive chain position [kgf]
F2=F1*D/2/R
F2=



(4) The force with which the roller sprocket pushes the chain vertically [kgf]
F3=F2*tan(α)
F3=



(5)Maximum static tension acting on the chain [kgf]
Tmax=(F3+M*L*2*1.1)*f2+F2
Tmax=



(6) Required power of drive motor [kgf]
kW=Tmax*V*α0/(102*60*η)
kW=



(7)Drive motor reduction ratio
K=Rm*Z2/Z1*D*π/V/1000
K=
Z1:Number of teeth on Laura Sprocket
Z2:Number of teeth on the motor shaft sprocket
W: Weight per unit length of goods to be transported [kgf/m]
f1: Coefficient of friction
f2: Coefficient of friction between chain and guide rail
L:Conveyor belt captain [m]
R: Distance from roller center to drive chain center [mm]
D: Roller outer diameter [mm]
V: Transport speed( Chain speed) [m/min]
α0: Motor safety factor
η: Machine transmission efficiency of the drive unit
Rm:Synchronous rotation speed of the motor
  60Hz:1800 RPM
  50Hz:1500 RPM

M: Weight per unit length of drive chain [kg/m]

Calculation explanatory diagram of drive roller converter