動揺している水槽内の浅水に生ずる波について : その3実験

概要

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In this paper, experimental confirmations of our approximate nonlinear theory on the shallow water waves which was previously published^<1,2)> are reported. The results obtained are as follows : In the range of ω< 3ω_0 (ω is the frequency of oscillations of the tank containing the shallow water and ω_0 is the natural frequency of the water), the theory sufficiently well represents the wave motions as well as the pressure relation that the bottom pressure exerted from the waves is equal to the static water pressure. The bore and the standing wave appear almost precisely at ω=ω_0 and ω=2ω_0 respectively. The existence of the special combinations of horizontal and inclining oscillations of the tank where no wave motion is excited is also proved experimentally. At higher resonances of ω=3ω_0,5ω_0 etc., wave motions are very complicated and appear to include the subharmonics having the frequencies such as 1/3ω=ω_0 for ω=3ω_0,1/5ω=ω_0 and 3/5ω=3ω_0 for ω=5ω_0 and so on, respectively. This phenomenon can not be derived from our simple theory. We became recently aware of Chester's elaborate works on the same subject as ours (he deals with the horizontal oscillation only), so we could not learn from him to our great regret.
社団法人日本船舶海洋工学会の論文