上下動揺する2次元滑走板の未定浸水長問題に関する変分原理について

概要

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A variational principle is presented to solve the boundary-value problem with the unknown wetted surface of a planing ship in periodic motion. The boundary-value problem is solvable uniquely under the Kutta's condition and continuity conditions of the velocity potential at the stern and the moving spray root, in addition to the hull boundary conditions and the elevated water surface condition at the spray root. The latter two conditions are derived as the Euler's integral equations from the presented functional associated with the variational principle restricting the former three conditions. The functional with unknown fluctuating integration boundary is represented in the time domain. The functional is composed of the time averaged term besides the term corresponding to the linearized periodic motion problem, since in the latter problem the wetted length fluctuates about the time averaged one. Both components of the functional is adjoined with the reversed flow what we call. A method of quasi-steady approximation is investigated. The wetted length of 2D planing plate in pure heaving motion is obtained. Porpoise-like motion of planing ship is drawn well in calculated results.
社団法人日本船舶海洋工学会の論文
2002-03-25