Coupled Responses in a Partially Liquid-Filled Container with the Multi-Elastic Baffles Subjected to Pitching Excitation

The coupled responses in the partially liquid filled container with multi-elastic annular baffles are investigated by the semi-analytical method subjected to the pitching excitations. The trial solutions of the dynamic deflections of the multi-elastic baffles, the surface wave height and the velocity potential can be obtained by introducing the time-dependent generalized coordinates. The Stokes-Joukowski potentials, which are relevant to the kinematical boundary condition of the container, can be obtained analytically. Based on the coupled vibration equations of the multi-elastic baffles and the boundary conditions on the free surface, the coupled dynamic response equations can be established. Parameter studies are carried out to investigate the effects of the parameters of the multi-elastic baffles on the coupled responses of the system.