Dynamic behavior of flexible rectangular fluid containers

An analytical method is proposed to determine the dynamic response of 3-D rectangular fluid containers with four flexible walls, subjected to seismic ground motion. By applying Rayleigh–Ritz method using the vibration modes of flexible plates, fluid–structure interaction effects on the dynamic responses of fluid containers are considered. A mechanical model, which takes into account the deformability of the tank wall, is developed. The maximum seismic loading of the base at the tank and a section immediately above it can be predicted by this model. Accordingly, a 2-D simplified model is proposed to evaluate pressure distribution on the flexible tank wall.

► An analytical method is used to determine the dynamic response of rectangular tanks.
► Simple formulas are derived to obtain convective pressure and surface displacement.
► A mechanical model, equivalent with a flexible rectangular tank has been developed.
► Maximum seismic loading is predicted by means of a response spectrum.
► A simplified model is developed to evaluate pressure distribution on flexible tank.