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Formulation and program development of damping matrix of viscoelastic body

Research Project

Project/Area Number 18560234
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Dynamics/Control
Research InstitutionIwaki Meisei University

Principal Investigator

SHIMIZU Nobuyuki  Iwaki Meisei University, College of Science and Technology, Professor (10196529)

Project Period (FY) 2006 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥3,840,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥540,000)
Fiscal Year 2007: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2006: ¥1,500,000 (Direct Cost: ¥1,500,000)
Keywordsdamping matrix / viscoelastic material / nonlinear behavior / numerical integration method / fractional differential model / nonlinear FEM
Research Abstract

Formulation and program development of damping matrix of viscoelastic body have been carried out for two years. In the first year the experiments have been conducted for investigating linear and nonlinear characteristics of a viscoelastic material. From linear experiments, frequency characteristics of viscoelastic body were elucidated and fractional differentiation model for constitutive law was established. From nonlinear experiments, frequency and strain dependences were elucidated, and the damping characteristics for frequency and strain dependences were obtained. In the second year, nonlinear finite element equations of motion involving newly developed damping matrix were established by means of the finite element procedure. In parallel to this study, high performance numerical integration algorithms were proposed. Numerical algorithm based on the derived nonlinear finite procedure and established numerical integration schemes was developed.
Properties of the derived damping matrix are needed to be investigated in the future.

Report

(3 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • Research Products

    (9 results)

All 2006

All Journal Article (9 results) (of which Peer Reviewed: 3 results)

  • [Journal Article] 分数階微分で記述される粘弾性体の幾何学的非線形静的、動的モデル2006

    • Author(s)
      那須 野洋、清水 信行、安野 拓也
    • Journal Title

      日本機械学会論文集(C編) 72・716

      Pages: 27-34

    • NAID

      110004718578

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] 非線形分数階微分方程式のための数値積分アルゴリズム2006

    • Author(s)
      那須 野洋、清水 信行
    • Journal Title

      日本機械学会論文集(C編) 72・722

      Pages: 123-130

    • NAID

      110004837608

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] ベキ時間を用いた分数階微分方程式の数値積分法2006

    • Author(s)
      那須 野洋、清水 信行
    • Journal Title

      日本機械学会論文集(C編) 72・724

      Pages: 34-41

    • NAID

      110006153460

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] 「研究成果報告書概要(欧文)」より2006

    • Author(s)
      H. Nasuno, N. Shimizu, T. Yasuno
    • Journal Title

      JSME Vol.72 No.716(C)

    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 「研究成果報告書概要(欧文)」より2006

    • Author(s)
      H. Nasuno, N. Shimizu
    • Journal Title

      JSME Vol.72 No.722(C)

    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 「研究成果報告書概要(欧文)」より2006

    • Author(s)
      H. Nasuno, N. Shimizu
    • Journal Title

      JSME Vol.72 No.724(C)

    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 分数階微分で記述される粘弾性体の幾何学的非線形静的・動的モデル2006

    • Author(s)
      那須野洋, 清水信行, 安野拓也
    • Journal Title

      日本機械学会論文集(C編) 72・716

    • NAID

      110004718578

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 非線形分数階微分方程式のための数値積分アルゴリズム2006

    • Author(s)
      那須野洋, 清水信行
    • Journal Title

      日本機械学会論文集(C編) 72・722

    • NAID

      110004837608

    • Related Report
      2006 Annual Research Report
  • [Journal Article] ベキ時間を用いた分数階微分方程式の数値積分法2006

    • Author(s)
      那須野洋, 清水信行
    • Journal Title

      日本機械学会論文集(C編) 72・724

    • NAID

      110006153460

    • Related Report
      2006 Annual Research Report

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Published: 2006-04-01   Modified: 2016-04-21  

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