Method and apparatus for machining a non-circular workpiece

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82 18, 82118, 82137, 82904, G06F 1546, B23B 328

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active

052745643

ABSTRACT:
An apparatus for machining a non-circular workpiece such as a piston wherein a tool is moved back and forth against the workpiece in accordance with profile data defining a desired final shape of the workpiece while the workpiece is rotated at a predetermined speed. The tool is moved by a composite movement of a linear motor driven in accordance with low frequency command values, and a piezoelectric actuator driven in accordance with high frequency command values. A numerical controller of the apparatus calculates the low frequency command values using a first Fourier series and the high frequency command values using a second Fourier series. Coefficients of the first and second Fourier series are determined using least square method in such a way that errors contained in the low and high frequency command values becomes within a predetermined limit.

REFERENCES:
patent: 4203062 (1980-05-01), Bathem
patent: 4564914 (1986-01-01), Ballough et al.
patent: 4646595 (1987-03-01), Slee
patent: 5054340 (1991-08-01), Sugita et al.
Peter A. Stark, "Introduction to Numerical Methods" 1970, 319-327.

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