偏心二重円筒容器内液面の内部共振特性

抄録

In this paper, the nonlinear characteristics of liquid motion in a cylindrical tank with an eccentric core barrel are investigated. Basic equations are derived by employing the variational principle. Nonlinear differential equations governing the liquid surface oscillations are derived by applying the Galerkin ’s method to basic equations. Linear sloshing modes and natural frequencies which are obtained by using the finite element method are classified according to the radial order and the circumferential order. Only the necessary conditions for the occurrence of internal resonance were shown in the previous studies. The criterion to predict that the amplitude of the nonlinear coupling modes could become large by the internal resonance is proposed by using the nonlinear equations. The influence of the position and size of the internal structure on the internal resonance characteristics is investigated. Experiments are carried out at the conditions that internal resonance will occur. It is shown that, by the experimental results, the proposed criterion is valid and also able to apply when the sloshing modes may degenerate.