C_Electrics 2017

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Series 6E electromechanical cylinders MOVEMENT > C_Electrics > 2017
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MOVEMENT
CALCULATION OF THE DRIVING TORQUE AT CONSTANT
SPEED [Nm]
TOTAL FORCE ACTING ON THE SYSTEM [N]
where:
F = Force to be applied in axial direction [N]
m = Mass of the body to move [kg]
g = Gravitational acceleration (9.81 m/s²)
p = Pitch of the ball screw [mm]
ɳ = Output of the Series 6E cylinders = 0.9
µ = Friction coefficient of the support guide
CALCULATION OF THE DRIVING TORQUE AT CONSTANT
ACCELERATION [Nm]
ANGULAR ACCELERATION [rad/s²]
where:
a = Linear acceleration of the ball screw [m/s²]
p = Pitch of the screw [mm]
MOMENT OF TOTAL INERTIA OF THE CYLINDER [kg·m²]
MOMENT OF TOTAL INERTIA OF THE 6E COMPONENTS
AT FIXED LENGTH [kg·m²]
where:
Jc1 = Moment of inertia of 6E rotating components [kg·m²]
m c1 = Mass of the 6E components to move [kg]
MOMENT OF TOTAL INERTIA OF THE 6E COMPONENTS
AT VARIABLE LENGTH [kg·m²]
where:
Jc2 = Moment of inertia of the 6E rotating components [kg·m²]
m c2 = Mass of the 6E components to move [kg]
c = rod stroke [mm]
MECHANICAL DIMENSIONING
Values of masses and fixed and rotating inertia moments of 6E components
Size Pitch mc1 mc2 Jc1 Jc2
32 5
10
0.151 Kg
0.151 Kg
0.0008 Kg
0.0008 Kg
12.38 kg mm²
12.38 kg mm²
1.59 kg mm²
1.59 kg mm²
40 5
10
16
0.428 Kg
0.428 Kg
0.428 Kg
0.0010 Kg
0.0010 Kg
0.0010 Kg
35.55 kg mm²
35.55 kg mm²
35.55 kg mm²
5.02 kg mm²
5.02 kg mm²
5.02 kg mm²
50 5
10
20
0.399 Kg
0.399 Kg
0.399 Kg
0.0011 Kg
0.0011 Kg
0.0011 Kg
54.96 kg mm²
85.94 kg mm²
83.25 kg mm²
12.33 kg mm²
12.33 kg mm²
12.33 kg mm²
63 5
10
25
0.576 Kg
0.576 Kg
0.576 Kg
0.0014 Kg
0.0014 Kg
0.0014 Kg
207.53 kg mm²
230.82 kg mm²
219.55 kg mm²
30.07 kg mm²
30.07 kg mm²
30.07 kg mm²