Synthesis and Simplification of Fractal Profile

Chao Zhou; Cheng Hui Gao; Jie Chen; Lian Feng Lai

doi:10.4028/www.scientific.net/AMR.279.262

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 279Synthesis and Simplification of Fractal Profile

Synthesis and Simplification of Fractal Profile

Abstract:

In order to import a synthesized fractal profile into finite element software, the profile synthesized by discrete Fourier transform was studied. The synthesized profile was filtered in frequency domain in order to filter its high frequency components and to make it smooth, and then the chord deviation algorithm was used to reduce its redundant data in space domain. It was found that: after filtering, the profile is smooth but with lots of redundant data; the chord deviation algorithm can simplify the profile which is redundant in space domain; the time needed in the process of importing a profile into finite element software can be reduced greatly after profile simplification.

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Periodical:

Advanced Materials Research (Volume 279)

Pages:

262-265

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.279.262

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Online since:

July 2011

Authors:

Chao Zhou, Cheng Hui Gao, Jie Chen, Lian Feng Lai

Keywords:

Chord Deviation Algorithm, Discrete Fourier Transform, Fractal Geometry, Fractional Brownian Motion

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