WEIHONG WISE WSDV-6R820PSB - 3.5.2.2 Belt Driving System Motor Selection Example; Load Inertia Calculation

Specialized Concentrated Focused
「28」Servo Motor
Fig. 3-9 Structure of belt driving system
Mass of part W
A
=10[kg]
Belt diameter P
D
=0.05[m] (you can refer to the value listed in product catalog or use calculation result.)
Mass of driving wheel W
P
=0.5[kg]
Ball screw efficiency B
η
=0.8
Coupling inertia J
C
=0[kg•m
2
](Motor shaft is connected directly.)
2) Running Mode
Time
Stopping time
Dec. time
Constant
speed time
Acc. time
Cycle time
Velocity
Movement distance
(Shadow represents distance that
has been finished.)
Fig. 3-10 Running mode
Acceleration time t
a
=0.1[s]
Constant speed time t
b
=0.8[s]
Deceleration time t
d
=0.1[s]
Cycle time t
c
=2[s]
Movement distance 1[m]
3) Load Inertia
BP
Coupling +J Belt driving application +J Driving wheel
LC
JJ （ ） （ ） （ ）
22
A D P D
11
+ W P + W P 2
48
C
J   
=
22
11
0+ 2 0.05 + 0.5 0.05 2
48
   
=0.00156=15.6×10
-4
[kg•m
2
]
4) Preselect Motor
When a motor with output capacity of 0.75kW is selected, then J
M
=0.87×10
-4
[kg•m
2
]