Appendix 3 Circular Cutting Radius Error
MITSUBISHI CNC
IV - 12
When circular cutting is performed, an error is caused between the command coordinate and the tracking coordinate due
to the tracking delay in the smoothing circuit and servo system, and the workpiece ends up with a radius smaller than the
commanded value. The method for obtaining this error (radius error) is shown below.
The radius error R and angle error are calculated from the following formula.
Ts: Time constant (s) of specified smoothing circuit
Tp: Position loop time constant
(Note 1) When the
Δ
R radius error applying with circular cutting does not come within the allowable value, proceed to
reduce the cutting feed rate F, set Ts to a lower value or review the program.
(Note 2) In the steady state,
Δ
R is constant. However, it is not constant with command start and stop transitions.
Under command start and stop conditions, therefore, the tracking coordinate should be as shown in the figure
below.
Exponential
acceleration/
deceleration
Linear acceleration/
deceleration
A : Command coordinate
B : Tracking coordinate
R : Command radius (mm)
R : Radius error (mm)
: Angle error (rad)
F : Cutting feed rate (m/min)
A
F
B
R
R
F
1
1
1
F × 10
3
Ǎ
R=
R
(
2
Ts
2
+
2
Tp
2
)
(
60
)
2
(mm)
(
1
1
1
F × 10
3
Ǎ
R=
R
(
24
Ts
2
+
2
Tp
2
)
60
)
2
(mm)
F
Δ θ =
(
Ts
R )
) (rad)
tan
-1
・
tan
-1
+
( Tp
F
R
・
Start/stop
Command Tracking
R
R
Содержание E70 Series
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Страница 24: ...I SCREEN OPERATIONS ...
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Страница 26: ...I 1 1 Operating the Setting and Display Unit ...
Страница 57: ...1 Operating the Setting and Display Unit MITSUBISHI CNC I 32 ...
Страница 58: ...I 33 2 Monitor Screens ...
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Страница 140: ...I 115 3 Setup Screens ...
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Страница 286: ...E70 Series Instruction Manual 4 4 Program Input Output I 261 During file transmission During file setting 1 2 4 3 5 6 7 ...
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Страница 436: ...II MACHINE OPERATIONS ...
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Страница 440: ...II 3 1 Operation State ...
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Страница 446: ...II 9 3 Reset Switch and Emergency Stop Button ...
Страница 448: ...II 11 4 Operation Mode ...
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Страница 512: ...III 1 1 Daily Maintenance and Periodic Inspection and Maintenance ...
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Страница 532: ...IV APPENDIXES ...
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Страница 534: ...IV 1 Appendix 1 List of Function Codes ...
Страница 536: ...IV 3 Appendix 2 Table of Command Value Ranges ...
Страница 543: ...Appendix 2 Table of Command Value Ranges MITSUBISHI CNC IV 10 ...
Страница 544: ...IV 11 Appendix 3 Circular Cutting Radius Error ...
Страница 546: ...IV 13 Appendix 4 Registering Editing the Fixed Cycle Program ...
Страница 561: ...Appendix 4 Registering Editing the Fixed Cycle Program MITSUBISHI CNC IV 28 ...
Страница 562: ...IV 29 Appendix 5 RS 232C I O Device Parameter Setting Examples ...
Страница 564: ...IV 31 Appendix 6 Explanation of Alarms ...
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