Hamiltonianを用いた容器内二層流体の液面揺動 : 第1報,正準運動方程式の導出と線形解析(機械力学,計測,自動制御)

概要

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This paper deals with the internal waves between two bodies of immiscible fluid. In theoretical analysis, we give a formulation for the equations of motion of a system of two incompressible irrotational fluids with a dynamic free surface and interface by a variational formulation. In addition, we derive a Hamiltonian formulation of this problem. This derivation is posed from Hamilton's principle in that the canonical conjugate variables are deduced from the Lagrangian under a Legendre transform. Moreover, we have focused in particular on linearized problems and investigated the character of vibration modes and an amplitude-frequency response of a three-dimensional fluid. On the other hand, the vibration modes and the amplitude-frequency response are obtained experimentally by using a model tank. The theoretical results are shown to be in good agreement with the experimental results.
社団法人日本機械学会の論文
2007-08-25