定常回転する円筒容器内の液面揺動の固有振動数--楕円形振動モ-ド  [in Japanese] Free Vibration Analysis of Liquid Motion in a Rotating Circular Cylindrical Tank : Elliptic Mode  [in Japanese]

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Author(s)

Abstract

Free vibration analysis is presented for liquid surface motion in a rigid circular cylindrical tank which is rotating around its symmetrical axis at constant angular velocity. It is considered that the equilibrium surface forms a paraboloid of revolution. Basic equations of liquid motion are derived by using the acceleration potential under the assumptions that the gravity. effect is dominant in comparison with the centrifugal force and that the liquid is inviscid and incompressible. It is confirmed that both elliptic and parabolic vibration modes of free surface oscillation appear due to tank rotation. The characteristic equations for the elliptic modes are derived by applying Galerkin's method. It is noted that the natural frequencies of the elliptic mode are separated by the Coriolis force. An experiment was conducted using a model tank. A good agreement was found between the theoretical and experimental results.

Journal

  • Transactions of the Japan Society of Mechanical Engineers. Series C.

    Transactions of the Japan Society of Mechanical Engineers. Series C. 60(570), p374-379, 1994-02

    The Japan Society of Mechanical Engineers

Cited by:  2

Codes

  • NII Article ID (NAID)
    110002378146
  • NII NACSIS-CAT ID (NCID)
    AN00187463
  • Text Lang
    JPN
  • Article Type
    Journal Article
  • ISSN
    03875024
  • NDL Article ID
    3859748
  • NDL Source Classification
    M079(振動工学・音響工学)
  • NDL Source Classification
    ZN11(科学技術--機械工学・工業)
  • NDL Call No.
    Z16-1056
  • Data Source
    CJPref  NDL  NII-ELS 
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