Coupled Responses of Partially Liquid-Filled Container with Multielastic Annular Baffles under Lateral Excitations

Abstract

The coupled responses of partially liquid-filled containers equipped with multielastic baffles subjected to lateral excitations have been investigated. The liquid domain has been divided into some subdomains. The analytical solutions of the velocity potential of the subdomains are obtained using the separation variable method. The wet modes of the multi baffles are then presented based on the dry-modal functions. Finally, the coupled modes are obtained by expressing the free surface equations, the continuity conditions, and the coupled vibration equations in the form of Fourier–Bessel series. The orthogonality among the natural modes of the coupled system has been proved. The dynamic response equations of the coupled system are established. The formulae of the coupled responses are derived. The effect of the baffle parameters on the coupled responses are discussed in detail. With the help of the MATLAB optimization toolbox, the present method can be used for the optimization of the baffled container subjected to seismic excitations.