OE Max Controls CSDJ Plus User Manual page 209

Mechanical
Configuration
Speed Diagram
Motion per Cycle
Motor axis rotation
speed
Load torque (Motor
Shaft)
D-10
Rack & Pinion Load
M
: Load mass of linear movement part (kg)
V
: Load speed (m/min)
l
1/ R : Reduction ratio
: Pinion diameter (m)
D
- -
V 2 t t
= ×
l s a
L
s
60 2
= ,
m
if t t L
a d
RV
=
N
l
M π
D
r/min
µ
( . + )
9 8 M F D
=
T
η
L
2 R
(Nm)
M
F
D
1/R
MOTOR
η
V
l
L
s
t
t
d
a
t
s
t
c
t
d
V
= ( - )
l
t t
s s a
60
Rack
Pinion
μ : The coefficient of friction
: Thrust force (N)
F
: Mechanical efficiency
t : Pinion thickness(m)