US4243924A
Expired / Lapsed
US
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System for interpolating an arc for a numerical control system
Assignee: Oki Electric Industry Co Ltd
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Filing: 1978-06-16
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Granted: 1981-01-06
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Expires: 1998-06-16
Abstract
Abstract The coordinates (X n+1 Y n+1 ) of an arc to be traced at time t n+1 are preliminary calculated using the coordinates (X n Y n ) at time t n , the radius (r) of the arc and a specified length l n during the time t n+1 -t n , thus the number of the calculations required for tracing an arc is considerably reduced and a low speed digital element which is cheap can be utilized in the present arc interpolation system. The formula for obtaining the coordinates is; X.sub.n+1 =X.sub.n +Y.sub.n ·l.sub.n r-X.sub.n ·l n 2 /2r 2 Y.sub.n+1 =Y.sub.n -X.sub.n ·l.sub.n /r-Y.sub.n ·l n 2 /2r 2 The asymptotic change of the above formulae and the apparatus according to the asymptotic formulae is also possible.
Inventors
- 👤 Fumio Onoda
- 👤 Yutaka Kakizoe
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-29 23:21
CPC Classifications
G; G05; G05B; G05B19/00; G05B19/02; G05B19/18; G05B19/41; G05B19/4103
Claims Analysis
Total Claims: 2
Claim 1
Independent Claim
150 words
In a numerical control machine for generating a curve a system for controlling a variable speed motor having a starting position and a finish position with a predetermined time period between the initial and finish positions which comprises (a) means for generating said predetermined time period; (b) means for providing a signal corresponding to the initial speed and position of said variable speed motor; (c) means coupled to said generating means and said signal providing means for determining the values of the coordinates of the final position at the end of said time period; (d) means for varying the speed of said variable speed motor whereby at the end of said time period said motor reaches said final position, and (e) means for feeding back said coordinate values of said final position to said signal providing means whereby said coordinate values become the coordinate values of the next initial position.
Claim 2
Dependent Claim
150 words
In a numerical control machine for generating a curve a system for controlling a variable speed motor having a starting position and a finish position with a predetermined time period between the initial and finish positions which comprises (a) means for generating said predetermined time period; (b) means for providing a signal corresponding to the initial speed and position of said variable speed motor; (c) means coupled to said generating means and said signal providing means for determining the values of the coordinates of the final position at the end of said time period; (d) means for varying the speed of said variable speed motor whereby at the end of said time period said motor reaches said final position, and (e) means for feeding back said coordinate values of said final position to said signal providing means whereby said coordinate values become the coordinate values of the next initial position.
References Cited (Backward Citations)
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USPTO Annuity & Maintenance Windows
| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
|---|---|---|---|---|---|
| 3.5 Years (Year 4) | 1984-01-06 | 1984-07-07 | 1985-01-06 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1988-01-06 | 1988-07-07 | 1989-01-06 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 1992-01-06 | 1992-07-07 | 1993-01-06 | $7700.00 | Window Closed / Lapsed |