Machining apparatus wherein arc length along a tool path is dete

Details Machining apparatus wherein arc length along a tool path is dete Machining apparatus wherein arc length along a tool path is dete

1993-07-08

1994-06-14

Nguyen, Long T.

Boots, shoes, and leggings

36447429, 318573, G06F 1546, G05B 1900

Patent

active

053216237

ABSTRACT:
Machining apparatus wherein the cutting tool is controlled to follow a path defined by successive splines, the geometry of a spline being described as a function of a parameter other than arc length along the spline and which is related to time. At a present position along a spline, the change in such parameter corresponding to a change in arc length is explicitly determined by approximation and used to determine an incremented position on the spline. A desired constant tool speed can thereby be maintained. By using only the first or the first two terms of a Taylor series approximation, a change in the parameter can be explicitly approximated as a linear or quadratic predictor. Alternatively, polynomial or rational approximations may be employed.

REFERENCES:
patent: 3882304 (1975-05-01), Walters
patent: 4704688 (1987-11-01), Kamata
patent: 4773025 (1988-09-01), Penkar et al.
patent: 4794540 (1988-12-01), Gutman et al.
patent: 5028855 (1991-07-01), Distler et al.
patent: 5140236 (1992-08-01), Kawamura et al.

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