Jetter JHN Series, Руководство пользователя

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Servomotor series JHN, JHQ, and JL – User Manual Introduction
Jetter AG 16
Formulas for rack-and-pinion drive or belt drive calculations 1.7.3
Schematic of a rack-and-pinion 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
J
2
i =
d
1
d
2
i d 10 6 v n
3
4
m
× × × × = π
000 . 2 F i d M
L 3 L
× × =
( )
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
i
M = (4 s J)/(d i t )
B B 3 B
x x x x
2
B M B M B
M 9,55 J n M 60 J n 2 t × × = × × × × = π
( ) ( )
B 3 B B
M i d J s 4 t × × × × =
B 3 B M
t i d s 120 n × × × × = π
120 i d t n s
3 B M B
× × × × = π
9,55 n M P
M M A
× =