液体貯槽における有限振幅液面動揺に関する研究 : (その3) スワーリングについての検討

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In the past shaking table test of liquid storages, it is frequently referred that the inner liquid oscillates with rotational movement around revolutional center of the storage in spite of the horizontal external excitaion. It has been called "swirling" and frequently observed especially in the experiment of axisymmetric storages as cylindrical and spherical ones. Once such response of the inner liquid occurs in the actual broad storages, unexpectedly large dynamic liquid pressures will be generated and, as a result of such non-self-equilibrium pressure distribution, excessive shear force will act on the basement of the storages, which are thought not to be negligible from the viewpoint of the actual design. In the present paper, swirling phenomenon of the inner liquid of idealized rigid cylindrical storage are dealt with as nonlinear oscillative problem originated from the nonlinear boundary value problem of perfect fluid with free surface. As a result of the stationary oscillative analysis by using simple reduced equations, swirling is pointed out to be explained as bifurcational phenomenon between symmetric and anti-symmetric spatial modes with reference to circumferential coordinate θ. In order to certify the result, nonlinear stationary oscillative analysis with multi-degree-of-freedom by harmonic balance method and shaking table test using a "grid projection technique" are carried out. Consequently, it is clearly pointed out that swirling phenomenon can be simply described both qualitatively and quantitatively as bifurcation between the spatial modes whose function in the circumferential direction consists of cos θ and sin θ, and the instability frequencies between sloshing and swirling movement of the inner liquid obtained by the theoretical treatment are shown to have excellently good agreement with the results obtained by the shaking table test.
社団法人日本建築学会の論文
1988-03-30

液体貯槽における有限振幅液面動揺に関する研究 : (その3) スワーリングについての検討

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