有限要素法によるスロッシングの非線形解析

抄録

A nonlinear analysis is carried out for oscillations of an inviscid, incompressible fluid in a two-dimensional, rigid, open container which is subjected to horizontal, vertical or pitching oscillation. First, brief review is made on the sloshing in horizontal oscillation and also that in vertical oscillation. Secondly, the sloshing inpitching oscillation is treated with in more detail: Governing equations are formulated as a nonlinear initial-boundary value problem with reference to the coordinate system fixed to the container assuming the liquid motion to be irrotational. Then, pseudo-variational principle is introduced for the problem. A finite element approximation is made by the use of the variational principle. Due to the nonlinearity of the problem, incremental method is employed. The FEM equations thus derived are integrated with respect to time step by step by the trapezoidal rule.
The numerical results obtained by the present method were compared with the solutions of the linear theory and the experimental data. The nonlinear characteristics of the fluid motion have been obtained.