Involute interpolation speed controlling method

Details Involute interpolation speed controlling method Involute interpolation speed controlling method

1989-02-07

1990-02-06

Shoop, Jr., William M.

Electricity: motive power systems

Positional servo systems

Program- or pattern-controlled systems

31856815, 318567, 36447429, 36447431, 364513, G05B 1941, G05B 19415

Patent

active

048990965

ABSTRACT:
An involute interpolation method for use in machining by a numerical control apparatus.
A rotational direction (G03.1) of an involute curve, coordinates of an end point (Xe, Ye), a center position (I, J) of a base circle as viewed from a start point, and a radius (R) of the base circle are instructed, from two equations representing the involute curve sequence of points are obtained, and interpolation of the involute curve is performed while interpolating those points in a range of the angle .theta. corresponding to the start point on the involute curve to the end point thereon.
The increment of .theta. is decremented in proportion to the increment of the angle owing to the factor K/ (R.multidot..theta.), so that the interpolation is performed in such a manner that the speed in the tangential direction is made at constant, whereby a machining speed of the involute curve is maintained at constant.

REFERENCES:
patent: 4423481 (1983-12-01), Reid-Green et al.
patent: 4590577 (1986-05-01), Nio et al.
patent: 4689750 (1987-08-01), Kishi et al.
patent: 4703146 (1987-10-01), Kinoshita
patent: 4716350 (1987-12-01), Huang et al.
patent: 4791575 (1988-12-01), Watts, Jr. et al.
patent: 4791576 (1988-12-01), Tanaka et al.

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