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Quantitative analysis on macro-fluctuation of several bowls by laser microscope and FFT

T. SAKAI1,* , S. KASAI2, K. YAMAMOTO3

Affiliation

  1. Department of Mechanical Engineering, Takamatsu National College of Technology, 355 Chokushi, Takamatsu, Kagawa 761-8058 Japan
  2. Advanced Course of Takamatsu National College of Technology, 355 Chokushi, Takamatsu, Kagawa 761-8058 Japan
  3. TADANO Ltd., 2217-13 Hayashi, Takamatsu, Kagawa 761-0301 Japan

Abstract

In order to evaluate the fluctuation and the surface irregularity of the famous potter’s bowl and other analytical objects, an analytical procedure was developed by applying the concept of fractals, a hyperbola model of the Richardson effect, and FFT analysis. The main results of this study are summarized as follows: (1) To evaluate the irregular surface of fluctuations quantitatively, an analytical system using a high-resolution laser sensor was developed, and an analytical-procedure-developed Mesh method was established. (2) It was found that the famous potter’s bowl has a fractal nature and a relative self-similarity in wide resolution ranges. (3) The geometrical irregularity of the surface can be well evaluated by combining the fractal dimension D and the FFT parameters. (4) In order to apply the design of a mechanical structure in a later study, the target value of the fractal dimension was estimated as D=2.33.

Keywords

Fractal analysis, Fractal dimension, Richardson effect, FFT analysis, Geometrical irregularity, Fluctuation, Transcription, Mechanical design.

Citation

T. SAKAI, S. KASAI, K. YAMAMOTO, Quantitative analysis on macro-fluctuation of several bowls by laser microscope and FFT, Optoelectronics and Advanced Materials - Rapid Communications, 3, 3, March 2009, pp.210-214 (2009).

Submitted at: Nov. 20, 2008

Accepted at: March 19, 2009