A Study on Internal Resonances of Liquid Sloshing in Rigid Tanks

• Project/Area Number: 22560225
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Dynamics/Control
• Research Institution: Hiroshima University
• Principal Investigator: IKEDA Takashi 広島大学, 大学院・工学研究院, 教授 (50115523)
• Research Collaborator: RAOUF A. Ibrahim Wayne State University, Mechanical Engineering Department, Professor
• Project Period (FY): 2010 – 2012
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000); Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2010: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
• Keywords: 振動学 / 流体関連振動 / スロッシング / 液体貯槽 / 非線形振動 / 内部共振現象 / 長方形断面容器

Research Abstract

This research investigated the behavior of internal resonances of liquid sloshing in square rigid tanks horizontally subjected to sinusoidal or random excitation. The mathematical model for the phenomena of the internal resonances for two predominant sloshing modes and higher sloshing modes was constructed considering the nonlinearity of sloshing. It was found from numerical and/or experimental results that this mathematical model enabled to clearly show the sloshing behavior of internal resonances and to predict the liquid elevation with high accuracy. Furthermore, it was shown that the internal resonance appearing in square tanks could be utilized more effectively than conventional rectangular tanks to suppress vibrations of machines and structures.

Research Products

• [Journal Article] Nonlinear liquid sloshing in square tanks subjected to horizontal random excitation (2013)
  • Author(s): Ikeda, T., Harata, Y., Ibrahim, R.A
  • Journal Title: Nonlinear Dynamics Volume: Vol.72, No.1-2 Pages: 493-453
  • Peer Reviewed
• [Journal Article] Autoparametric resonances of elastic structures coupled with two sloshing modes in a square liquid tank, Transaction of the ASME (2013)
  • Author(s): Ikeda, T., Takashima, M., Harata, Y
  • Journal Title: J. Computational Nonlinear Dynamics Volume: Vol.8, No.1 Issue: 1
  • DOI: 10.1115/1.4006531
  • Peer Reviewed
• [Journal Article] Nonlinear liquid sloshing in square tanks subjected to horizontal random excitation (2013)
  • Author(s): Ikeda, T., Harata, Y., Ibrahim, R.A.
  • Journal Title: Nonlinear Dynamics Volume: 72 Issue: 1-2 Pages: 493-453
  • DOI: 10.1007/s11071-012-0726-2
  • Peer Reviewed
• [Journal Article] Nonlinear liquid sloshing in a square tank subjected to obliquely horizontal excitation (2012)
  • Author(s): Ikeda, T., Ibrahim, R.A., Harata, Y., Kuriyama, T.
  • Journal Title: J. Fluid Mechanics Volume: Vol. 700 Pages: 304-328
  • DOI: 10.1017/jfm.2012.133
  • Peer Reviewed
• [Journal Article] Nonlinear dynamic responses of elastic structures with two rectangular liquid tanks subjected to horizontal excitation (2011)
  • Author(s): Takashi Ikeda
  • Journal Title: Trans.ASME, J.Computational and Nonlinear Dynamics Volume: 6 Issue: 2
  • DOI: 10.1115/1.4002382
  • Peer Reviewed
• [Journal Article] Autoparametric resonances of elastic structures coupled with two sloshing modes in a square liquid tank (2011)
  • Author(s): Ikeda, T., Takashima, M., Harata, Y.
  • Journal Title: ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference Volume: (CD-ROM)
  • Peer Reviewed
• [Journal Article] Nonlinear responses of dual-pendulum dynamic absorbers (2011)
  • Author(s): Takashi Ikeda
  • Journal Title: Trans.ASME, J.Computational and Nonlinear Dynamics Volume: 6
  • Peer Reviewed
• [Journal Article] Autoparametric interaction of a liquid surface in a rectangular tank with an elastic support structure under 1:1 internal resonance (2010)
  • Author(s): Ikeda, T
  • Journal Title: Nonlinear Dynamics Volume: Vol.60, No.3 Issue: 3 Pages: 425-441
  • DOI: 10.1007/s11071-009-9606-9
  • Peer Reviewed
• [Journal Article] Autoparametric interaction of a liquid surface in a rectangular tank with an elastic support structure under 1:1 internal resonance (2010)
  • Author(s): Takashi Ikeda
  • Journal Title: Nonlinear Dynamics Volume: 60 Pages: 425-441
  • Peer Reviewed
• [Presentation] 二つの正方形容器を用いた同調液体ダンパーの制振解析 (2012)
  • Author(s): 池田 隆,原田祐志,高山信裕
  • Organizer: 日本機械学会Dynamics & Design Conference 2012
  • Place of Presentation: 慶應義塾大学
  • Year and Date: 2012-09-19
• [Presentation] Vibration control of 2DOF structures utilizing sloshing in square tanks (2012)
  • Author(s): Ikeda, T., Harata, Y., Ninomiya, S
  • Organizer: Proceedings of the ASME 2012 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference
  • Place of Presentation: Chicago, USA
  • Year and Date: 2012-08-13
• [Presentation] Nonlinear responses of liquid surfaces in square tanks subjected to horizontal, random excitation (2012)
  • Author(s): Ikeda, T., Harata, Y., Ibrahim, R.A
  • Organizer: Proceedings of the International Conference on Structural Nonlinear Dynamics and Diagnostics
  • Place of Presentation: Marrakech, Morocco
  • Year and Date: 2012-04-30
• [Presentation] 正方形液体容器による2自由度柔軟構造物の制振解析(実験との比較) (2012)
  • Author(s): 池田 隆,原田祐志,二宮翔太,関口泰久
  • Organizer: 日本機械学会中国四国支部第50期総会・講演会講演論文集
  • Place of Presentation: 広島大学
  • Year and Date: 2012-03-08
• [Presentation] 正方形液体容器による2自由度柔軟構造物の制振解析(実験との比較) (2012)
  • Author(s): 池田隆, 原田祐志, 二宮翔太, 関口泰久
  • Organizer: 日本機械学会中国四国支部第50期総会・講演会
  • Place of Presentation: 広島大学
  • Year and Date: 2012-03-08
• [Presentation] ランダム励振を受ける正方形容器内の液面スロッシングの非線形応答解析 (2012)
  • Author(s): 門田洋平,池田 隆,原田祐志,関口泰久
  • Organizer: 日本機械学会中国四国支部第42回卒業研究発表講演会
  • Place of Presentation: 広島大学
  • Year and Date: 2012-03-07
• [Presentation] 円筒型同調液体ダンパーによる風車タワーの制振解析 (2011)
  • Author(s): 池田 隆,原田祐志,高橋尚士,原田祐志,石田幸男
  • Organizer: 日本機械学会Dynamics & Design Conference 2011
  • Place of Presentation: 高知工科大学
  • Year and Date: 2011-09-07
• [Presentation] オートパラメトリック共振を利用した同調液体ダンパーによる柔軟構造物の制振解析 (2011)
  • Author(s): 池田 隆,原田祐志,高山信裕,関口泰久
  • Organizer: 日本機械学会Dynamics & Design Conference 2011
  • Place of Presentation: 高知工科大学
  • Year and Date: 2011-09-06
• [Presentation] 正方形液体容器による2自由度柔軟構造物の制振解析 (2011)
  • Author(s): 池田 隆,原田祐志,二宮翔太,関口泰久
  • Organizer: 日本機械学会Dynamics & Design Conference 2011
  • Place of Presentation: 高知工科大学
  • Year and Date: 2011-09-05
• [Presentation] Autoparametric resonances of elastic structures coupled with two sloshing modes in a square liquid tank (2011)
  • Author(s): Ikeda, T., Takashima, M., Harata, Y
  • Organizer: Proceedings of the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference
  • Place of Presentation: Washington DC, USA
  • Year and Date: 2011-08-31
• [Presentation] 同調液体ダンパーによる風車タワーの制振解析 (2011)
  • Author(s): 池田 隆,高橋尚士,原田祐志,石田幸男
  • Organizer: 日本機械学会中国四国支部第49期総会・講演会講演論文集No.115-1
  • Place of Presentation: 岡山理科大学
  • Year and Date: 2011-03-05
• [Presentation] 正方形液体容器を有する塔状構造物の非線形ふれ回り振動 (2011)
  • Author(s): 池田 隆,二宮翔太,原田祐志,関口泰久
  • Organizer: 日本機械学会中国四国支部第49期総会・講演会講演論文集No.115-1
  • Place of Presentation: 岡山理科大学
  • Year and Date: 2011-03-05
• [Presentation] 鉛直励振を受ける柔軟構造物と正方形容器内液面の非線形連成振動(実験結果との比較) (2011)
  • Author(s): 池田 隆,高島正喜,原田祐志,関口泰久
  • Organizer: 日本機械学会中国四国支部第49期総会・講演会講演論文集No.115-1
  • Place of Presentation: 岡山理科大学
  • Year and Date: 2011-03-05
• [Presentation] 鉛直励振を受ける柔軟構造物と正方形容器内液面の非線形連成振動(実験結果との比較) (2011)
  • Author(s): 池田隆, 高島正喜, 他2名
  • Organizer: 日本機械学会中国四国支部第49期総会・講演会
  • Place of Presentation: 岡山理科大学
  • Year and Date: 2011-03-05
• [Presentation] 正方形液体容器を有する塔状構造物の非線形ふれ回り振動 (2011)
  • Author(s): 池田隆, 二宮翔太, 他2名
  • Organizer: 日本機械学会中国四国支部第49期総会・講演会
  • Place of Presentation: 岡山理科大学
  • Year and Date: 2011-03-05
• [Presentation] 同調液体ダンパーによる風車タワーの制振解析 (2011)
  • Author(s): 池田隆, 高橋尚士, 他2名
  • Organizer: 日本機械学会中国四国支部第49期総会・講演会
  • Place of Presentation: 岡山理科大学
  • Year and Date: 2011-03-05
• [Presentation] 池田 隆,高島正喜,関口泰久 (2010)
  • Author(s): 池田 隆,高島正喜,関口泰久
  • Organizer: 日本機械学会Dynamics & Design Conference 2010
  • Place of Presentation: 同志社大学
  • Year and Date: 2010-09-15
• [Presentation] 鉛直励振を受ける柔軟構造物と正方形容器内液面の非線形連成振動 (2010)
  • Author(s): 池田隆, 高島正喜, 関口泰久
  • Organizer: 日本機械学会Dynamics & Design Conference 2010
  • Place of Presentation: 同志社大学
  • Year and Date: 2010-09-15
• [Presentation] 斜め水平励振を受ける平方形容器内液面の非線形応答 (2010)
  • Author(s): 池田 隆,栗山 佑,関口泰久
  • Organizer: 日本機械学会2010年度年次大会講演論文集No.10-1
  • Place of Presentation: 名古屋工業大学
  • Year and Date: 2010-09-06
• [Presentation] 斜め水平励振を受ける平方形容器内液面の非線形応答 (2010)
  • Author(s): 池田隆, 栗山佑, 関口泰久
  • Organizer: 日本機械学会2010年度年次大会
  • Place of Presentation: 名古屋工業大学
  • Year and Date: 2010-09-06
• [Presentation] Vibration suppression of elastic structures utilizing internal resonance of liquid sloshing in a rectangular tank (2010)
  • Author(s): Ikeda, T.
  • Organizer: Proceedings of the ASME 2010 Pressure Vessels & Piping Division Conference
  • Place of Presentation: Bellevue, Washington, USA
  • Year and Date: 2010-07-21
• [Presentation] Vibration suppression of elastic structures utilizing internal resonance of liquid sloshing in a rectangular tank (2010)
  • Author(s): Takashi Ikeda
  • Organizer: ASME 2010 Pressure Vessels & Piping Division Conference
  • Place of Presentation: Bellevue, Washington, USA
  • Year and Date: 2010-07-21
• [Presentation] Nonlinear responses of liquid surfaces in square tanks subjected to horizontal, random excitation
  • Author(s): Ikeda, T., Harata, Y., Ibrahim, R.A.
  • Organizer: Proceedings of the International Conference on Structural Nonlinear Dynamics and Diagnostics
  • Place of Presentation: Marrakech, Morroco
• [Presentation] Vibration control of 2DOF structures utilizing sloshing in square tanks
  • Author(s): Ikeda, T., Harata, Y., Ninomiya, S.
  • Organizer: Proceedings of the ASME 2012 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference
  • Place of Presentation: Chicago, USA
• [Presentation] 二つの正方形容器を用いた同調液体ダンパーの制振解析
  • Author(s): 池田 隆，原田祐志，高山信裕
  • Organizer: 日本機械学会Dynamics & Design Conference 2012
  • Place of Presentation: 横浜市
• [Book] 機械工学ハンドブック (2011)
  • Author(s): 池田 隆,他
  • Publisher: 朝倉書店
• [Book] 機械工学ハンドブック:非線形振動 (2011)
  • Author(s): 池田隆(分担執筆)
  • Total Pages: 10
  • Publisher: 朝倉書店