YASKAWA CPCR-MR08C Bulletin page 60

Servopack dc servomotor controller for speed control
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7.2
SERVOMOTOR
SELECTION
GUIDE
LINEAR MOTION
PART
•Load speed :
V g = 15 m/min
-Number
of feed :
n = 60 cycles/min
_.,,_
'Weight
of linear
motion
part:
M
= 100kg
-Feed
length:
_ = 0.1m
SERVO_ _,r_
_
,_
_
_
"Length
of ball
screw :
LB = 1.0m
"Feed
time:
t==0.5s
or below
Mu_._O_{0
_"'t_
.Diameter
of ball screw:
De =0.02m
'Friction
Coefficient:
/_=0.2
(__
BALL SCREW
-Ball
screw
lead :
PB = 0.01 m
'Machine
efficiency
:
7/= 0.8
•Reduction
ratio
:
I/R
= l/2
(including
speed
reducer)
•Speed
reducer
inertia
:
JG = 1 × l0 -4 kg'm 2
(1) Speed Diagram
(m/mm)_
t-
60
_
60
_ l.o (s)
n
60
Assumes
t,
=
td
60 _
60×0.1
- 0.5
- o.1 (s)
t. :
t_
V,
15
tc = 0.5--0.1;<2 = 0.3 (s)
(2) Rotating
Speed
Vt
15 - 1500 (r/min)
Load shaft speed
Nt - PB
0.0_
Motor
shaft speed
NM = N_ • R = 1500×2 = 3000 (r/min)
(3) Load Torque
9.8 ff • M-PB
_ 9.8×0.2×100×0.01
= 0.195 (N.m)
TL =
21rR"
7]
27r X2X0.8
(4) Load Inertia
Linear motion part
JL_ = M
2_R
= 100x
_,_)
= 0.633X10 -4 (kg.m 2)
Ball screw
JB --
32
p "LB'D_-
7r
X7.87 X 10'X 1.0 X (0.02)'×
(+)'
--
32
= 0.309X10-'
(kg.m 2)
Speed reducer
Jc = 1.0Xl0-'
(kg.m 2)
Load inertia
(motor
shaft
conversion)
JL = JLI+JB+Jc=I.942XlO
-4 (kg.m 2)
(5) Load Running
Power
27rNM • TL
27r X 3000 X 0.195
--
= 61.3 (W)
Po --
60
60
(6) Load
Acceleration
Power
2
p. =
(_2_r NM) 2 X JL ----t.
2(__0__._X3000) x
1.942X10-'0.1
= 191.7 (W)
(7) Temporary
Servomotor
Selection
(Selectoin
condition)
• TL --_ Motor rated torque *
• Pa +Po=
(lto2)
× Motor rated output*
• Value
when combining
Servomotor
with
Servopack
• NM __ Motor
rated
speed
• JL --_ Allowable load inertia
of Servopack
58

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