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OPTIMAL CALIBRATION AND OPTIMAL DESIGN OF HIGH PRECISION PARALLEL MECHANISMS

Research Project

Project/Area Number 14550119
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 設計工学・機械要素・トライボロジー
Research InstitutionTokyo Institute of Technology

Principal Investigator

TAKEDA Yukio  TOKYO INSTITUTE OF TECHNOLOGY, DEPARTMENT OF MECHANICAL SCIENCES AND ENGINEERING, ASSOCIATE PROFESSOR, 大学院・理工学研究科, 助教授 (20216914)

Project Period (FY) 2002 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥2,900,000 (Direct Cost: ¥2,900,000)
Fiscal Year 2004: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2003: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2002: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsRobotics / Kinematics / Parallel mechanism / Absolute accuracy / Calibration / Optimal design / Displacement error measurement / 設計工学 / 変位測定
Research Abstract

In order to realize a high precision parallel mechanism, it is necessary to carry out precise kinematic calibration and to carry out optimal design with consideration of effect of calibration. For precise kinematic calibration, I proposed using a low order Fourier series obtained by transforming the data for periodic measurement paths such as circular paths. Two non-dimensional indices were proposed for evaluating the degree of independence regarding the measurement paths and calibration parameters. An index was also proposed to evaluate the accuracy of the calibration with regard to measurement error. An algorithm for determining optimal measurement paths and an optimal set of a specified number of paths using these indices was also proposed. The effectiveness of the proposed method, indices, and algorithm was investigated through simulations and experiments with an experimental worktable using a spatial parallel mechanism with six degrees of freedom that was developed in my laboratory. Using simulation results of parallel mechanisms with different kinematic constants, optimal design with consideration of the effect of kinematic calibration was discussed. The effect of measurement strategies of output displacement error on the result of kinematic calibration was investigated through simulations.

Report

(4 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • Research Products

    (9 results)

All 2004 2003 Other

All Journal Article (6 results) Publications (3 results)

  • [Journal Article] A DBB Based Kinematic Calibration Method for In-Parallel Actuated Mechanisms Using a Fourier Series2004

    • Author(s)
      Yukio TAKEDA, Gang SHEN, Hiroaki FUNABASHI
    • Journal Title

      Transactions of the ASME, Journal of Mechanical Design 126

      Pages: 856-865

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A DBB Based Kinematic Calibration Method for In-Parallel Actuated Mechanisms Using a Fourier Series2004

    • Author(s)
      Yukio TAKEDA, Gang SHEN, Hiroaki FUNABASHI
    • Journal Title

      Transactions of the ASME, Journal of Mechanical Design Vol.126, September

      Pages: 856-865

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] フーリエ級数を用いたパラレルメカニズムのキャリブレーション(第2報,実験的検討)2003

    • Author(s)
      沈崗, 武田行生, 舟橋宏明
    • Journal Title

      日本機械学会論文集C編 69

      Pages: 1691-1698

    • NAID

      110002379048

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 3λパラレルメカニズム形ステージのキャリブレーション機構設計(キャリブレーション用変位誤差測定法の検討)2003

    • Author(s)
      沈崗, 武田行生
    • Journal Title

      日本機械学会2003年度年次大会講演論文集 IV

      Pages: 165-166

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Kinematic Calibration of In-Parallel Actuated Mechanisms Using Fourier Series (2nd Report, Experimental Investigations)2003

    • Author(s)
      Gang SHEN, Yukio TAKEDA, Hiroaki FUNABASHI
    • Journal Title

      Transactions of the JSME, Series C Vol.69, No.682

      Pages: 1691-1698

    • NAID

      110002379048

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Kinematic Calibration and Design of a Positioning Stage Using a 3γ-Type In-Parallel Actuated Mechanism (Investigations on Measurement Data for Calibration)2003

    • Author(s)
      Gang SHEN, Yukio TAKEDA
    • Journal Title

      Proc.Annual Meeting of JSME 2003 Vol.IV

      Pages: 165-166

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Publications] 沈崗, 武田行生, 舟橋宏明: "フーリエ級数を用いたパラレルメカニズムのキャリブレーション(第2報,実験的検討)"日本機械学会論文集C編. 69巻,682号. 1691-1698 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 沈崗, 武田行生: "3λパラレルメカニズム形ステージのキャリブレーションと機構設計(キャリブレーション用変位誤差測定法の検討)"日本機械学会2003年度年次大会講演論文集. IV. 165-166 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 沈崗, 武田行生, 舟橋宏明: "フーリエ級数を用いたパラレルメカニズムのキャリブレーション(第2報,実験的検討)"日本機械学会論文集C編. 69巻. (2003)

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2016-04-21  

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