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Nonlinear Vibration Response of Cylindrical Tanks on Shaking Table Driven by Horizontal Periodic Force

Research Project

Project/Area Number 16560506
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Building structures/materials
Research InstitutionKagoshima University

Principal Investigator

MINAKAWA Youichi  Kagoshima University, EXECTUTIVE DIRECTOR (30128459)

Co-Investigator(Kenkyū-buntansha) YAMAMOTO Kenji  Kagoshima University, ENGINEERING, RESEARCH ASSOCIATE (70311884)
Project Period (FY) 2004 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2006: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2005: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2004: ¥2,000,000 (Direct Cost: ¥2,000,000)
KeywordsVibration of Cylindrical Tank / Non-linear Vibration / Sub-harmonic Vibration / Response with Non-roundness / Tank on Shaking Table / Instability Region / 周方向フーリエ級数展開次数 / 定常応答の不安定領域 / 分数調波振動の分岐 / 高次振動モード / 高調波振動応答 / オバリングモード / 動的連成振動 / 水平振動実験
Research Abstract

Cylindrical tanks on a horizontal shaking table driven by periodic sinusoidal force generally show responses with the same period of the force. However, they happen to branch out responses with sub-harmonic vibrations component of significance under certain frequency region of the external force. The mechanism of these sub-harmonic vibrations has not been clarified yet. Several cylindrical tank specimens were used to research the vibrations.
Changing amount of water in the tank, we obtained response data of the tank under external frequency region from 30Hz to 540Hz. Then, the data was analyzed to show response curves of each vibration component and each vibration mode, where components are corresponding to fundamental, sub-harmonic with the 1/3, the 1/2, and the 3/2 order, and higher harmonics with the 2nd, and the 3rd order, and vibration modes include Fourier series numbers n=0,1,2,3,4,5,6,7,8 in circumferential direction of the cylindrical shell.
Then, we find that response of the 1/2 sub-harmonic vibration may branch out under the condition when the external frequency is in neighborhood of added frequency of two vibration modes with n=0,4,5,6 etc. Many responses of the 1/3 sub-harmonic vibration may occur with the 1/2 sub-harmonic vibration. These results enable to foresee a frequency region where these sub-harmonic vibrations may branch out.

Report

(4 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • Research Products

    (8 results)

All 2007 2006 2005 2004

All Journal Article (7 results) (of which Peer Reviewed: 1 results) Presentation (1 results)

  • [Journal Article] 水の入った円筒タンクの非線形振動応答に関する実験的研究,日本建築学会九州支部研究報告2007

    • Author(s)
      岩下一徹
    • Journal Title

      日本建築学会九州支部報告 第46号1

      Pages: 549-552

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 完全流体における非線形スロッシングの有限要素解析法2006

    • Author(s)
      山本憲司
    • Journal Title

      日本建築学会構造系論文集 609

      Pages: 89-96

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] ELEMENT METHOD FOR NONLINEAR SLOSHING ANALYSIS OF PERFECT FLUIDS (in Japanese)2006

    • Author(s)
      YAMAMOTO Kenji
    • Journal Title

      Journal of Structural And Construction Engineering 609

      Pages: 88-96

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 水の入った円筒タンクの水平振動実験2006

    • Author(s)
      下高原理
    • Journal Title

      日本建築学会九州支部報告 第45号1

      Pages: 209-212

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 水の入った円筒タンクの水平振動実験における動的不安定領域2005

    • Author(s)
      中村達哉
    • Journal Title

      日本建築学会学術講演梗概集 構造I

      Pages: 829-830

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 水の入った円筒タンクの水平振動実験2005

    • Author(s)
      嶋本 耕三
    • Journal Title

      日本建築学会九州支部研究報告 44号

      Pages: 561-564

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 水の入った円筒タンクの水平振動実験-水高の変化がタンク周方向ひずみ応答に及ぼす影響2004

    • Author(s)
      中村達哉
    • Journal Title

      日本建築学会学術講演梗概集 構造I

      Pages: 782-783

    • Related Report
      2004 Annual Research Report
  • [Presentation] 水の入った円筒タンクの水平振動実験2005

    • Author(s)
      嶋本耕三
    • Organizer
      日本建築学会九州支部研究報告
    • Place of Presentation
      鹿児島
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary

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Published: 2004-04-01   Modified: 2016-04-21  

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