Development of Design Technology of Porous Superfinishing Stone Using Fractal Geometry. (2nd Report). Geometric Modeling of Stone Topography and Design Support System.

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  • フラクタル幾何学を適用した多孔性超仕上砥石の設計法の開発　（第２報）　　磁石作用面の形状モデリングと設計支援システム
  • フラクタル キカガク オ テキヨウ シタ タコウセイ チョウシアゲ トイシ ノ セッケイホウ ノ カイハツ ダイ2ホウ トイシ サヨウメン ノ ケイジョウ モデリング ト セッケイ シエン システム
  • Geometric Modeling of Stone Topography and Design Support System
  • 砥石作用面の形状モデリングと設計支援システム

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This paper illustrates an integrated design procedure for quantifying the manufacturing parameters of the porous superfinishing stone which complies with the specified cutting performance. The outline is as follows. After a stone hardness and a preliminary drawing of stone topography which can be produced by the computer graphics called "fractional Brownian motion" are assumed, the cutting performance is estimated from mathematical models. Such analysis reveals whether the topography and hardness of the stone are optimal or not. If the design fails, these steps are iterated. To find an optimized solution, genetic algorithms have been applied to the iterative design process. The developed GA-based design tool is called SUSDIN (Superfinishing Stone Design Inventor), and has proved fit for practical use as the result of experiments.

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