7applications – Lenze DSD User Manual
Page 101
Lenze · Drive Solution Designer · Manual · DMS 4.2 EN · 12/2013 · TD23
101
7
Applications
7.6
Spindle drive
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
The efficiency of the spindle is calculated according to the following equation.
• The coefficient of friction μ
Spl
of the spindle depends on the spindle type. Here, rolling spindles
and trapezoidal spindles are distinguished.
[7-53] Equation 3: Leadscrew efficiency
Conversion of translatory variables into rotary variables
[7-54] Equation 4: Angle
[7-55] Equation 5: Angular velocity
[7-56] Equation 6: Angular acceleration
Forces of the linear motion
First the mass which is to be moved linearly has to be calculated. The payload m
L
can adopt different
values during the travel cycle. The mass of carriage m
aux
is considered separately.
[7-57] Equation 7: Total mass
The friction force F
μ
acts opposite to the direction of movement and is taken into consideration by
v/|v| in the following equation, where F
μ
= 0 if v = 0.
[7-58] Equation 8: Friction force
η
Spl
1 k μ
Spl
⋅
–
1
μ
Spl
k
----------
+
--------------------------
with k
h
Spl
π d
Spl
⋅
-----------------
=
=
ϕ
2000 π
s
h
Spl
----------
⋅ ⋅
=
ω
2000 π
v
h
Spl
----------
⋅ ⋅
=
α
2000 π
a
h
Spl
----------
⋅ ⋅
=
m
sum
m
L
m
aux
+
=
F
μ
m
sum
g μ
Gdn
β
cos
v
v
-----
⋅ ⋅
⋅
⋅
=