Jetter JHN Series, User Manual

Page: 15 / 228

Servomotor series JHN, JHQ, and JL – User Manual Introduction
Jetter AG 15
Formulas for spindle drive calculations 1.7.2
Schematic of a spindle drive:
Formulas
Engine RPM [RPM]
Load torque [Nm]
Translatory mass moment of inertia [kg m
2
]
Rotatory mass moment of inertia [kg m
2
]
To steel the following formula applies: [kg m
2
]
To aluminum the following formula applies: [kg m
2
]
Sum of reduced mass moments of inertia [kg m
2
]
Acceleration or deceleration torque M
B
= f(nM) [Nm]
Acceleration or deceleration torque M
B
= f(sM) [Nm]
Acceleration or deceleration time t
B
= f(nM) [s]
Acceleration or deceleration time t
B
= f(sB) [s]
Speed reached after acceleration [RPM]
Acceleration or deceleration distance [mm]
Output [W]
J
M
J
1
M
M
n
m
Spindelsteigung h
J
2
i =
d
1
d
2
i h 10 6 v n
4
m
× × × =
π × × × = 000 . 2 F i h M
L L
( ) ( )
6
2
10 2 h m J
T T
−
× × × = π
( )
ρ I d 10 32 J
4 15
R
× × × × =
−
π
13 4
10 I d 7,7 J
R
−
× × × =
13 4
10 I d 2,7 J
R
−
× × × =
( )
T R 1 M
J J i J J J
2
+ × + + =
B M B m B
t 9,55 J n t 60 J n 2 M × × = × × × × = π
M = (4 s J)/(h i t )
B B
x x x x x
π
B
i
2
B M B M B
M 9,55 J n M 60 J n 2 t × × = × × × × = π
( ) ( )
B B B
M i h J s 4 t × × × × × = π
B B M
t i h s 120 n × × × =
120 i h t n s
B M B
× × × =
9,55 n M P
M M A
× =