Determination of the hydrodynamic characteristics of a partially filled cavity containing a pendulum (Q1113748)

Equations are given for the small oscillations of a viscous liquid-filled cavity containing a pendulum and the dissipative and inertial coefficients are determined on the basis of a systematic application of the finite element method (FEM). In order to improve the accuracy of the values obtained for these coefficients the use of a nonlinear Shanks transformation is proposed. This makes it possible to achieve the required accuracy using much less machine time and memory. The properties of the inertial hydrodynamic characteristics associated with an ideal fluid are studied in relation to cavities lacking a pendulum but fitted with annular ribs. It is shown that as a result of the presence of these rings the estimate given by \textit{I. G. Gatoullin} and the second author [Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela 3, 40 ff. (1966)] for the generalized mass of the fundamental mode of the fluid oscillations is inaccurate and must be modified.