矩形水槽壁の接水振動について

概要

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When side-walls of a rectangular tank which is filled with water is vibrating, the water will also make a vibratory motion. The author has made a calculation of the amount of kinetic energy of vibratory motion of water thus set up. The calculation was carried out about four specific cases as follows, the opposite two side-walls being assumed to be vibrating as shown by Fig. 1; (A). The rectangular tank is completely full of water, the two side-walls making "in-phase" vibrations to each other. (B). The same as (A), but two side-walls are vibratiag in "opposite phases" to each other. (D). The rectangular tank is almost filled up with water, but there is left on top a small vacancy. The two side-walls are making "in-phase" vibrations. (C). The same as case (D), but two side-walls are vibrating in "opposite phases" to each other.From the calculated values of kinetic energy of vibrating water, we deduced the value of so-called "virtual mass" of water, with regard to vibration of side-walls of the rectangular tank. This will enable us to make an approximate estimation of the value of natural frequncy to vibration of side-wall of the rectangular water tank. The calculation throughout is made, regarding the water to be an incompressible, non-viscous fluid, and the amplitude of vibration to be infinitesimally small.
社団法人日本船舶海洋工学会の論文