Appendix
15.2.3 Inertial Moment and GD
15
2
Linear Operator Inertial Moment
J
Fig. 15.3 shows linear operation such as a motor turning a ball screw to drive a table. Example (a) shows
horizontal operation, and example (b) shows vertical operation. Both horizontal and vertical inertial mo-
ments J
and J
take the full load mass m
H
V
can be expressed using the following formula.
2
m
P
L
B
J
=
(kg
⋅
H
4π
2
(m
+ m
) P
L
C
J
=
V
4π
2
m
L
Motor
P
(a) Horizontal Operation
Fig 15.13
Linear Operator Inertial Moment
(kg), counterweight mass m
L
2
m
)
2
B
2
⋅
(kg
m
)
Motor
µ
m
C
Counter-
weight
B
(b) Vertical Operation
15 -8
(kg), and ball screw reed P
C
m
L
P
B
, and
B