Variational Principles Related to Motions of a Floating Elastic Plate in Waves

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  • 波浪中の弾性平板浮体の運動に関する変分原理
  • 波浪中の弾性平板浮体の運動に関する変分原理 : 無限遠境界で波の入射条件と放射条件を考慮した変分原理
  • ハロウ チュウ ノ ダンセイ ヘイバンフタイ ノ ウンドウ ニ カンスル ヘン ブン ゲンリ : ムゲンエンキョウカイ デ ナミ ノ ニュウシャ ジョウケン ト ホウシャ ジョウケン オ コウリョ シタ ヘン ブン ゲンリ
  • －無限遠境界で波の入射条件と放射条件を考慮した変分原理－

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In this paper, variational principles related to motions of an elastic plate in waves considering wave radiation condition at infinity, which are very important in calculations of the elastic response of the pontoon- type floating structure, are discussed. First, Sommerfeld radiation condition at infinity is extended to treat a case with an incident wave. Second, four kinds of variational principles related to motions of the elastic floating plate considering the incident and radiated waves are proposed and clarified the mutual relationship of these variational principles. Third, numerical results for elastic response of a floating plate of rectangular plan geometry in waves, which are obtained by using proposed variational principles, are shown.

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