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Abstract: The
W-M fractal function and the structure-function method for determining
fractal dimensions are introduced. Some factors of influencing the
surface quality in the nanoscale cutting are analyzed by the fractal
theory. A series of testing and statistical analysis for the nanoscale
cutting surface are done, and the major influence factors on the surface
quality are especially analyzed in quantity. The determining method of
the fractal dimensions for a set and its subsets and the relation
between them are obtained and checked. Some issues on the application of
the theory above in the real design are discussed.
Key words: Fractal
theory Structure function Set and subset Nanoscale
ultra-precision cutting Surface quality
CLC No:
TH161
Received 20030815, received in revised form
20031112
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