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Additional Technical Data and Calculations<br />
Drive Calculations<br />
Screw Driven Units<br />
Feed Force Formula [N]<br />
Fx = m × g × µ<br />
Acceleration Force Formula [N]<br />
Fa = m × a<br />
Power Formula [kW]<br />
P =<br />
188<br />
MA × nmax × 2 × 3,14<br />
60 × 1000<br />
Drive Moment Formulae [Nm]<br />
MA = Mload + Mtrans + Mrot + M idle<br />
Mload =<br />
Mtrans =<br />
Mrot = jsp ×<br />
Fx × p<br />
2 × 3,14 ×1000<br />
Fa × p<br />
2 × 3,14 ×1000<br />
2 × 3,14 × nmax × a × 2<br />
Vmax × 60 × 1000<br />
M idle = see table for unit in question<br />
Fx = feed force [N]<br />
m = total mass to be moved [kg] 1<br />
g = acceleration due to gravity [m/s 2 ]<br />
µ = friction factor specific for each unit<br />
Fa = acceleration force [N]<br />
m = mass to be operated [kg]<br />
a = acceleration [m/s 2 ) 2<br />
P = required power [kW]<br />
MA = required drive moment [Nm]<br />
nmax = maximum required rotational speed [rpm]<br />
MA = required drive moment [Nm]<br />
Mload = moment as a result of various loads [N]<br />
Mtrans = translational acceleration moment [Nm]<br />
Mrot = rotational acceleration moment [Nm]<br />
M idle = carriage/rod idle torque [Nm] 3<br />
Fx = feed force [N]<br />
p = screw lead [mm]<br />
Fa = maximum required acceleration force [N]<br />
jsp = inertia of ball screw per meter [kgm 2 /m] 4<br />
nmax = maximum required rotational speed [rpm]<br />
a =maximum required acceleration [m/s 2 )<br />
Vmax = maximum required linear speed [m/s]<br />
Linear Units<br />
1 The total mass is the mass of all masses to be moved (objects to<br />
be moved, carriage(s)/rod, screw).<br />
2 In vertical applications, the mass acceleration must be added to<br />
the acceleration due to gravity g (9,81 m/s 2 ).<br />
3 This value can be found in the carriage idle torque tables for each<br />
unit.<br />
4 This value can be found in the additional technical data tables.