US4935681A
Expired / Lapsed
US
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Involute interpolation method
Assignee: Fanuc Corp
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Filing: 1988-08-18
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Granted: 1990-06-19
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Expires: 2008-08-18
Abstract
Abstract An involute interpolation method is provided for machining operations in a numerical control apparatus, in which a rotational direction of an involute curve, a center position of a base circle (C), and a radius (R) of the base circle (C) are instructed, and an interpolation is performed with respect to an involute curve having a start point (P s ) on a first involute curve (IC1) and an end point (P e ) on a second involute curve (IC2). According to such a method, machining operations can be done by the use of a specifically configured involute curve which is distinct from the two involute curves.
Inventors
- 👤 Hideaki Kawamura
- 👤 Takao Sasaki
- 👤 Kentaro Fujibayashi
- 👤 Kunihiko Murakami
- 👤 Masafumi Sano
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-31 17:07
CPC Classifications
G; G05; G05B; G05B19/00; G05B19/02; G05B19/18; G05B19/41; G05B19/4103; G05B2219/00; G05B2219/30; G05B2219/34; G05B2219/34144
Claims Analysis
Total Claims: 3
Claim 1
Independent Claim
103 words
An involute interpolation method for use in machining operations by a numerical control apparatus, which comprises the steps of: instructing a rotational angle of an involute curve, a center position of a base circle, and a radius (R) of said base circle; further instructing a curve start point of a first involute curve resulting from said base circle and a curve start point of a second involute curve resulting from said base circle; and wherein an interpolation is performed with respect to said involute curve having a start point on said first involute curve and an end point on said second involute curve.
Claim 2
Dependent Claim
103 words
An involute interpolation method for use in machining operations by a numerical control apparatus, which comprises the steps of: instructing a rotational angle of an involute curve, a center position of a base circle, and a radius (R) of said base circle; further instructing a curve start point of a first involute curve resulting from said base circle and a curve start point of a second involute curve resulting from said base circle; and wherein an interpolation is performed with respect to said involute curve having a start point on said first involute curve and an end point on said second involute curve.
Claim 3
Dependent Claim
164 words
An involute interpolation method according to claim 1, further comprising the steps of: computing a coordinate (X o , Y o ) of said base circle, an angle (θ s ) of said start point, an angle of said end point (θ e ) and an angle of said involute curve start point (θ o ) based upon said instructions and a coordinates of said start points; in accordance with equations representing an arbitrary point on said involute curve, X=R {cos θ+(θ-θ.sub.o) sin θ}+X.sub.o Y=R {sin θ-(θ-θ.sub.o) cos θ}+Y.sub.o obtaining points on said involute curve while incrementing θ in the range of θ s to θ e by a predetermined value, wherein θ o is set to θ o =θ 1 at said start point of the involute interpolation, θ o is set to θ o =θ o +(D/NR) during the interpolation of said involute curve, and θ o is set to θ o =θ 2 at said end point of said involute interpolation.
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) | 1993-06-18 | 1993-12-18 | 1994-06-19 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1997-06-18 | 1997-12-18 | 1998-06-19 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 2001-06-18 | 2001-12-18 | 2002-06-19 | $7700.00 | Window Closed / Lapsed |