Involute interpolation method

Electricity: motive power systems – Positional servo systems – Program- or pattern-controlled systems

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Details

51287, 51123G, 409 9, 409131, G05B 1925

Patent

active

049261029

DESCRIPTION:

BRIEF SUMMARY
BACKGROUND OF THE INVENTION

1. Field of the Invention
The present invention relates to an involute interpolation method for machining operations in a numerical control apparatus or the like, and more particularly to an involute interpolation method in which an involute curve can readily be interpolated in the numerical control apparatus.
2. Description of the Related Art
In curve interpolation with a numerical control apparatus, interpolation of an involute curve has particularly been needed for machining gears, vanes of pumps and the like, and it has been a general practice to interpolate the involute curve with a computer or an NC program producing system which are distinctly provided from the numerical control apparatus to analyze curve data into straight line data, whereupon numerical control machinings are performed with the use of a tape.
Accordingly, an instruction tape producing system has additionally been required other than the numerical control apparatus. In addition, the tape is extremely long because it contains minutely analyzed lines, so that the management of the tape is intricate. Furthermore, there has been a problem such that pulse distribution is interrupted during a high-speed driving, and thus a smooth cutting operation is not ensured.


DISCLOSURE OF THE INVENTION

An object of this invention is to resolve the above problem and to provide an involute interpolation method in which an involute curve can readily be interpolated in the numerical control apparatus.
In order to resolve the above-noted problem, the invention provides an involute interpolation method for machining operations in a numerical control apparatus comprising the steps of:
instructing a rotational direction of an involute curve, a moving distance of the involute curve or a moving angle thereof, a center position of a base circle and a radius (R) of the base circle; and
interpolating the involute curve at every predetermined distance or every predetermined angle.
The rotational direction, the moving distance or moving angle, the center position of the base circle and the radius of the base circle are initially instructed to specify the involute curve.
From the given instructions, equations for the curve are determined and based upon such equations pulse interpolation is carried out at every predetermined moving distance or every predetermined angle.
The processing above is implemented with a numerical control apparatus so that pulse distribution is continuously carried out.


BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1(a) is a diagram showing an involute curve rotating in the counterclockwise direction leaving from a base circle;
FIG. 1(b) is a diagram showing an involute curve rotating in the counterclockwise direction approaching a base circle;
FIG. 1(c) is a diagram showing an involute curve rotating in the clockwise direction approaching a base circle;
FIG. 1(d) is a diagram showing an involute curve rotating in the clockwise direction leaving from a base circle; and
FIG. 2 is a block diagram of a numerical control apparatus according to one embodiment of the present invention.


DESCRIPTION OF THE PREFERRED EMBODIMENT

One embodiment of the present invention will be described with reference to the accompanying drawings. Involute curves are exemplified in FIGS. 1(a) through 1(d). FIG. 1(a) shows the involute curve rotating in the counterclockwise direction leaving from a base circle, in response to the instruction G03.1. FIG. 1(b) shows another involute curve rotating in the counterclockwise direction approaching the base circle, in response to the instruction G03.1. FIG. 1(c) shows still another involute curve rotating in the clockwise direction approaching the base circle, in response to the instruction G02.1. FIG. 1(d) shows yet another involute curve rotating in clockwise direction leaving from the base circle, in response to the instruction G02.1.
Although there are four types of involute curves as above, they are the same in principle. Accordingly, the following description will be made with reference to th

REFERENCES:
patent: Re28559 (1975-09-01), Villano
patent: Re28766 (1976-04-01), Villano
patent: 3906677 (1975-09-01), Gunter et al.
patent: 3986305 (1976-10-01), Gunter
patent: 4548531 (1985-10-01), Seitelman
patent: 4606153 (1986-08-01), Bloch et al.

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