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Application of Chaos Theory to Design for Precise and Fine Surfaces

Research Project

Project/Area Number 10650127
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 機械工作・生産工学
Research InstitutionKansai University

Principal Investigator

HIGUCHI Masahiro  Kansai University, Faculty of Engineering, Professor, 工学部, 教授 (50067732)

Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥2,900,000 (Direct Cost: ¥2,900,000)
Fiscal Year 1999: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1998: ¥2,100,000 (Direct Cost: ¥2,100,000)
KeywordsTexture / Anisotropy / Diamond Turning / Surface Structure / Chaos Characteristic / Silicon / Anisotropic Etching / Self Affine / 超精密加工面 / 結晶異方性 / 磁気ディスク基板 / 残留応力 / 形状精度
Research Abstract

1. Chaotic Characteristics of Mirror-Finished Surface Produced by Ultra-Precision Turning
Mirror-like surfaces obtained by the ultra-precision turning using diamond tools are smooth to the eye, but rough under a microscope. Although a lot of work has been done on the roughness of the mirror-finished surface, its inhomogeneous static structure is not yet well analyzed. This has led to attempt to discuss quantitatively whether the surface texture was indeed chaotic or not. In this study, the trajectory on the attractor reconstructed in phase space from a measured surface profile was characterized by the Lyapunov exponent and the finite correlation dimension and hence it has the chaotic characteristics. Further, the mirror-finished surface produced by the ultra-precision turning becomes more chaotic as the feed rate and the cutting speed decrease.
2. Fractal Characteristics of Si Surface Produced by Anisotropic Etching
The roughness of Si (100) surfaces etched in aqueous KOH, especially the roughness of the surface with low or no micropyramid formations, was studied using fractal analysis. The etched surfaces exhibited the fractal characteristics, and their fractal dimensions and their root-mean square roughness were found to be dependent on the etching time and the temperature. The simulation of the surface growth using noise reduced Eden model proved that the selective dissolution of Si atoms by random attacks of HィイD22ィエD2O and OH on the Si-Si bond caused the roughening phenomenon that was observed experimentally.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] 樋口誠宏他: "超精密加工面のカオス特性"精密工学会誌. 64-8. 1196-1200 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masahiro Higuchi et al.: "Fractal Characteristics of Si Surface produced by Anisotropic Etching"The 3rd Int. Con. on Abrasive Technology. 459-466 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 樋口誠宏他: "情報量の概念を用いた磁気ディスク基板の超精密切削条件の決定"日本機械学会論文集C編. (印刷中)66-643. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masahiro Higuchi: "Chaotic Characteristics of Mirror-fFnished Surface Produced by Ultra-Precision Turning"J. Japan. Soc. Prec. Eng.. 64-8. 1196-1200 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masahiro Higuchi: "Fractal Characteristics of Si Surface Produced by Anisotropic Etching"The 3rd Int. Con. on Abrasive Technology. 459-466 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masahiro Higuchi: "Selection of Cutting Parameters for Ultra-Precision Machining of Magnetic Disk Substrate Using Concept of Information Amount"Trans. Japan Soc. Mech. Eng.. (in print). 66-643 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M.Higuchi et al.: "Fractal Characteristics of Si Surface Produced by Anisotropic Etching"The Third International Conference on Abrasive Technology. 459-466 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 樋口誠宏他: "情報量の概念を用いた磁気ディスク基板の超精密切削条件の決定"日本機械学会論文集C編. 66,643(掲載決定). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 樋口誠宏他: "超精密加工面粗さの結晶方位依存性"精密工学会秋季学術講演会講演論文集. 199-199 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 樋口誠宏他: "異方性エッチングされたSi{100}面のフラクタル評価とその形成過程のシミュレーション"砥粒加工学会学術講演会講演論文集. 233-234 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 樋口誠宏他: "異方性エッチングされたSi表面のフラクタル特性"第4回関西大学先端科学技術シンポジウム講演集. 58-67 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 樋口誠宏他: "結晶異方性のある被削材の超精密加工面のカオス特性"精密工学会春季学術講演会講演論文集. 126-126 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 樋口,誠宏 他: "超精密加工面のカオス特性" 精密工学会誌. 64,8. 1196-1200 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 樋口,誠宏 他: "磁気ディスク基板の超精密切削加工に関する研究(第5報)" 精密工学会講演論文集. 581-581 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 樋口,誠宏 他: "A1合金磁気ディスク基板のダイヤモンド切削による残留応力と変形" 精密工学会講演論文集. 362-362 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 樋口,誠宏 他: "異方性エッチングによるSi{100}表面粗さのフラクタル解析" 精密工学会講演論文集. 323-323 (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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