Lenze DSD - Manual (Page 90)

7 Applications
7.4 Omega belt drive
90
Lenze · Drive Solution Designer · Manual · DMS 4.2 EN · 12/2013 · TD23
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
7.4.3.1 Symbols used
Symbol Description Dimension unit
a Acceleration, translatory m/s 2
d
Whl
Effective diameter of the wheel for the wheel-guided system mm
d
Brg
Bearing diameter for the wheel-guided system mm
d
Cog
Belt pulley diameter mm
f Lever arm of the rolling friction for the wheel-guided system mm
F
μ
Friction force of the guiding system N
F’ Specific travelling resistance of the application N/kg
F
vs
Counterforce N
F
sum
Total translatory force N
F
Blt
Circumferential force at the toothed belt N
F
prl,Blt
Pretension N
F
aux
Force of slide N
F
rad
Radial force N
F
ax
Axial force N
g Gravitational acceleration (g = 9.81 m/s 2 ) m/s 2
J
Cog
Moment of inertia of belt pulley kgm 2
J
aux
Moment of inertia, deflection pulleys kgm 2
l
Blt
Length of the toothed belt m
m
L
Mass of the payload kg
m
aux
Mass of the slide kg
m
D
Drive train mass kg
m
sum
Total mass of the application kg
M
th,Blt
Constant torque loss Nm
M
D
Torque at the drive Nm
M
App
Required torque of the application Nm
p
Cog
Selected toothed belt pitch mm
s Path, translatory m
v Speed, translatory m/s
N
Cog
Number of teeth of the toothed belt pulley
α Angular acceleration rad/s 2
η
Blt
Transmission efficiency of the belt with initial stress and in the working
point
ϕ Angle rad
μ
Gdn
Coefficient of friction
• Wheel flange and lateral friction of the wheel-guided system
• Sliding friction of the linear guide
μ
Brg
Coefficient of friction of the bearings for the wheel-guided system