Mitsubishi MELDAS HS Series, Технические характеристики и инструкция по эксплуатации

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Chapter 11 Selection
11–14
11-6 Expressions for load inertia calculation
The calculation method for a representative load inertia is shown.
Type Mechanism Calculation expression
Rotary shaft
φ D
1.
φ D
2.
J
L
= (D
1
4
– D
2
4
) = (D
1
2
– D
2
2
)
Cylinder
When rotary shaft and cylinder
shaft are deviated
D
Rotary shaft
R
J
L
= (D
2
+ 8R
2
)
Column
a
a
b
b
Rotary shaft
R
J
L
= W ( + R
2
)
Object that
moves
linearly
W
V
N
Servomotor
J
L
= W ( · )
2
= W ( )
2
Suspended
object
D
W
J
L
= W ( )
2
+ J
P
Converted
load
Servomotor
Load A
J
A
N
2
N
1
N
1
J
11
J
21
J
31
Load B
J
B
N
3
J
22
J
L
= J
11
+ (J
21
+ J
22
+ J
A
) · ( )
2
+ (J
31
+ J
B
) · ( )
2
W
8
N
3
N
1
N
2
N
1
π
·
ρ
· L
32
W
8
a
2
+ b
2
8
J
L
: Load inertia
[kg· m
2
]
W : Weight of object that moves linearly [kg]
N : Motor speed
[r/min]
V : Speed of object that moves linearly [mm/min]
V
10 1
2
π
N
△
S
20
π
J
L
: Load inertia [kg· m
2
]
W : Weight of cylinder [kg]
D : Outer diameter of cylinder [m]
R : Distance between rotary axis and
cylinder axis [m]
J
L
: Load inertia [kg· m
2
]
W : Weight of cylinder [kg]
a.b.R : Left diagram [m]
D
2
J
L
: Load inertia [kg· m
2
]
W : Weighty of object [kg]
D : Diameter of pulley [m]
J
P
: Inertia of pulley [kg· m
2
]
J
L
: Load inertia [kg· m
2
]
J
A
,J
B
: Inertia of load A, B [kg· m
2
]
J
11
~J
31
: Inertia [kg· m
2
]
N
1
~N
3
: Each shaft’s speed [r/min]
J
L
: Load inertia [kg· m
2
]
ρ
: Density of cylinder
material[kg· m
3
]
L : Length of cylinder [m]
D
1
: Outer diameter of cylinder [m]
D
2
: Inner diameter of cylinder [m]
W : Weight of cylinder [kg]
Reference data
Material densities Iron
..... 7.80
×
10
3
[kg/m
3
]
Aluminum
..... 2.70
×
10
3
[kg/m
3
]
Copper
..... 8.96
×
10
3
[kg/m
3
]
Rotary
shaft is
cylinder
center