Boots – shoes – and leggings
Patent
1989-08-21
1991-11-12
Ruggiero, Joseph
Boots, shoes, and leggings
318573, 36447436, G05B 19403
Patent
active
050653334
DESCRIPTION:
BRIEF SUMMARY
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a method of involute interpolation for a computerized numerical control apparatus having a rotational axis and a linear axis, and more particularly to a method of involute interpolation for interpolating an involute curve and a Z-axis in synchronism with each other.
2. Description of Related Art
There is a great need for the interpolation of involute curves in computerized numerical control apparatus or the like in order to machine gears, pump impellers, or the like. It has been general practice to interpolate an involute curve with a computer or an NC programming device separate from a numerical control apparatus, convert the interpolated data to linear data on a tape, and machine a workpiece under numerical control using the tape.
The applicant has proposed an involute interpolation method by which an involute curve can easily be interpolated with commands in an orthogonal coordinate system within a computerized numerical control (CNC) apparatus (see Japanese Patent Application No. 62-157303).
The machine coordinate system of a three-axis lathe or a cam grinding machine having a C-axis is a polar coordinate system. There, an involute interpolation method which employs an orthogonal coordinate system cannot be applied to these machines.
For machining a cam or a gear, it is necessary to interpolate an involute curve in one plane, and provide a curved plane which moves in a direction normal to that plane.
SUMMARY OF THE INVENTION
In view of the aforesaid drawback of the earlier involute interpolation method, it is an object of the present invention to provide an involute interpolation method for interpolating an involute curve and a Z-axis in synchronism with each other.
To achieve the above object, there is provided in accordance with the present invention an involute interpolation method for a computerized numerical control apparatus having a rotational axis and a linear axis, comprising the steps of giving commands for a direction in which an involute curve rotates, the position of the center of a base circle, the radius (R) of the base circle, and a Z-axis. The next step is to polate the involute curve and the Z-axis according to the commands. Lastly, position along the rotational axis, the linear axis, and the Z-axis of a machine are controlled.
The commands for the involute curve and the Z-axis are interpolated on the rotational and linear axes, and simultaneously on the Z-axis. Synchronously with this, the Z-axis is interpolated for three-dimensional interpolation. The interpolated distances are converted to those on the rotational, linear, and Z-axes for the control of a machine tool.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a diagram of an involute curve to be interpolated according to an embodiment of the present invention;
FIG. 2 is a block diagram of a numerical control apparatus used for carrying out the embodiment of the present invention; and
FIG. 3 is a diagram showing the relationship between an orthogonal coordinate system and a polar coordinate system.
DESCRIPTION OF THE PREFERRED EMBODIMENTS
An embodiment of the present invention will hereinafter be described with reference to the drawings.
FIG. 3 shows the relationship between an orthogonal coordinate system and a polar coordinate system of a machine having a linear axis and a rotational axis, such as a three-axis lathe or the like. An X-axis represents the direction of a cross slide, and a Z-axis is the same as the direction of the axis of a spindle. The machine has a radial linear axis, a Z-axis, and a C-axis which is a rotational axis around the Z-axis.
A program employs X- and Y-axes, and gives commands for an involute curve on the XY plane. The commands and movement of the machine are the same along the Z-axis. Therefore, the program for an involute curve is commanded on the XY plane, and is interpolated in the coordinate system on the XY plane. Interpolation pulses are converted to pulses in a polar coordinate system, i.e., on an r-
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Fujibayashi Kentaro
Kawamura Hideaki
Sano Masafumi
Fanuc Ltd.
Ruggiero Joseph
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