Finite element computation of sloshing modes in containers with elastic baffle plates

A nite element method to approximate the vibration modes of a plate in contact with an incompressible uid is analysed in this paper. The e ect of the uid is taken into account by means of an added mass formulation, discretized by standard piecewise linear tetrahedral nite elements. Gravity waves on the free surface of the liquid are considered in the model. The plate is modelled by Reissner–Mindlin equations discretized by MITC3 locking-free elements. Implementation issues are discussed and numerical experiments are presented. In particular, the method is compared with analytical approximations and with an experimental study which has been recently reported