Linear and nonlinear 2D finite element analysis of sloshing modes and pressures in rectangular tanks subject to horizontal harmonic motions

Nonlinear finite element analysis of elastic water storage tanks

“…Similar nonlinear sloshing for cylindrical water tank was determined by Barrios et al [21]. Virella et al [22] used linear and nonlinear wave theories to determine the linear and nonlinear hydrodynamic pressure on rigid tank walls using the finite element software ABAQUS. The pressure and displacement were considered as unknown variables for linear and nonlinear model respectively.…”

“…Thus the time step for the analysis of water tank is taken as T/32. In order to validate the proposed algorithm a bench marked problem is solved and results are compared with the results obtained by Virella et al [22]. The geometric and material properties of the tank are considered as follows: height of water in the tank (H) = 6.10 m, length of tank (R) = 30.5 m, so that ratio of height to length (H/R) = 0.4, density of water = 983 kg/m 3 , pressure wave velocity = 1451 m/s.…”

The effect of earthquake frequency content on the seismic behavior of concrete rectangular liquid tanks using the finite element method incorporating soil–structure interaction

“…In a recent study done by Virella et al [33], the influence of nonlinear wave theory on the sloshing natural periods and their modal pressure distribution for rectangular tanks with H L /L x ratios ranging from 0.4 to 1.65 was investigated. They concluded that the nonlinearity of the surface wave does not have a major effect on the pressure distribution on the walls and on natural sloshing frequencies.…”

Seismic Analysis of Base-Isolated Cylindrical Liquid Storage Tank Using Coupled Acoustic-Structural Interaction

“…Morand and Ohyan [21], Everstine [22], Virella et al [23] investigated the FSI problems using acoustic elements. In the present study, coupled acoustic-structure approach of FE method is used for the seismic analysis of base-isolated tank.…”