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Nonlinear Vibration of Multi-Surface Liquid in a Lilguid Surface Tank

Research Project

Project/Area Number 11450094
Research Category

Grant-in-Aid for Scientific Research (B).

Allocation TypeSingle-year Grants
Section一般
Research Field Dynamics/Control
Research InstitutionTokyo Institute of Technology

Principal Investigator

KIMURA Koji  Graduate School of Information Science and Engineering, Tokyo Institute of Technology Professor, 大学院・情報理工学研究科, 教授 (70143675)

Co-Investigator(Kenkyū-buntansha) TAKAHARA Hiroki  Graduate School of Science and Engineering, Tokyo Institute of Technology Associate Professor, 大学院・理工学研究科, 助教授 (90226910)
Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥6,800,000 (Direct Cost: ¥6,800,000)
Fiscal Year 2000: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1999: ¥5,300,000 (Direct Cost: ¥5,300,000)
KeywordsLiquid Sloshing / Multi-Surface / Flow Induced Vibration / Nonlinear Vibration / Rectangular Tank / Internal Resonance / 液面搖動 / 液体関連振動
Research Abstract

The characteristics of multi-surface liquid motion in a rectangular tank are investigated. The rectangular tank is divided into two parts by the partition, which is perpendicular to the bottom of the tank and does not reach the bottom.
An approximate analytical method is developed for obtaininng the dynamic behavior of mult-surface liquid motion. Nonlinearity of the liquid surface oscillation is considered in the response analysis of the sloshing motion. The nonlinear ordinary differential equations governing the liquid surface oscillation are derived by applying Galerkin's method.
Firstly, the natural frequencies and corresponding mode shapes are obtained by applying boundary element method to the Laplace equation with linearized boundary conditions. Then the time histories and the frequency responses of the liquid surface displacement in the tank stubjected to pitching excitation are calculated by solving the nonlinear ordinary differential equations.
An experiment was conducted by using a model tank. The natural frequencies and the time histories of the liquid surface displacement to the pitching excitation are measured. A fairly good agreement was found between the theoretical and experimental results.
The effects of the distance between the partition and the tank bottom upon the natural frequencies, corresponding mode shapes and the liquid surface displacement responses are clarified. It is shown that the growth of the higher order mode is observed and can be explained by nonlinear mode coupling and internal resonance and that the nonlinear analysis is important for estimating the sloshing characteristics.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (6 results)

All Other

All Publications (6 results)

  • [Publications] 木村康治,高原弘樹,疋田洋一: "多液面を有する直方体容器内液面の2次元自由振動解析"日本機械学会機械力学・計測制御講演アブストラクト集. 00-6. 151 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 高原弘樹,疋田洋一,木村康治: "多液面を有する容器内液面の非線形振動"日本機械学会関東支部第7期総会講演会講演論文集. 010-1. 307-308 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.KIMURA, H.TAKAHARA and Y.HIKITA: "Free Vibration Analysis of Multi-Surface Liquid Motion in a Rectangular Tank"Proc. Dynamics and Design Conf. 2000, JSME. No.00-6. 151 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.TAKAHARA, Y.HIKITA and K.KIMURA: "Nonlinear Vibration of Multi-Surface Liquid in a Rectangular Tank"Proc. 7th Annual Meeting in Kanto Branch, JSME. No.010-1. 307-308 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 木村康治,高原弘樹,疋田洋一: "多液面を有する直方体容器内液面の2次元自由振動解析"日本機械学会 機械力学・計測制御講演アブストラクト集. 00-6. 151 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 高原弘樹,木村康治,疋田洋一: "多液面を有する容器内液面の非線形振動"日本機械学会 関東支部 第7期総会講演会講演論文集. 010-1. 307-308 (2001)

    • Related Report
      2000 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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