Lenze DSD - Manual (Page 97)

Lenze · Drive Solution Designer · Manual · DMS 4.2 EN · 12/2013 · TD23
97
7 Applications
7.5 Rack drive
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7.5.1.1 Symbols used
7.5.2 Data for the entry
7.5.2.1 Pinion diameter
Symbol Description Dimension unit
a Acceleration (translatory) m/s 2
d
Cog
Pinion diameter mm
F
μ
Friction force N
F
vs
Counterforce N
F
sum
Total translatory force N
F
App
Force transmitted on the rack and pinion N
F
App,η
F
App
, taking the spindle friction into consideration N
g Gravitational acceleration (g = 9.81 m/s 2 ) m/s 2
J
add
Additional moment of inertia (e. g. pinion) kgm 2
J
sum
Total moment of inertia kgm 2
m
L
Mass of the payload kg
m
aux
Mass of the rack and pinion or slide kg
m
sum
Total mass kg
M
App
Required torque of the application Nm
M
Cog
Pinion module mm
s Path (translatory) m
v Speed (translatory) m/s
N
Cog
Number of teeth
α Angular acceleration rad/s 2
η
Cog
Efficiency of the pinion/rack and pinion
ϕ Angle rad
μ
Gdn
Coefficient of friction of the guide rail
ω Angular velocity rad/s
Symbol Description
d
Cog
Pinion diameter
• The pinion is mounted at the end of the output shaft of the motor or gearbox.
• The pitch diameter can be calculated from the module number and the number of teeth.
• The value can be entered directly or calculated using the diameter calculator.
"Pinion diameter" calculator ( 412)