Nonlinear hydroelastic vibration of a cylindrical tank with an elastic bottom, containing liquid. Part I: Experiment

Vibrations of Circular Plates Resting on a Sloshing Liquid: Solution of the Fully Coupled Problem

“…Bauer et al [12] studied the e!ect of the large amplitude of surface waves. This e!ect was experimentally and theoretically investigated by Chiba [15,17,18]. Nagaya and Nagai [14] included the viscosity of the liquid and an elastic foundation under the plate.…”

Eigenvalue Problems for Vibrating Structures Coupled With Quiescent Fluids With Free Surface

“…The comparison reported in Table 7 and proves that results obtained in reference [3] are very accurate even if equation (26a) has not been used. 5. CONCLUSIONS Equation (26a) explains the apparent contradiction between the semi-analytical methods that insert the sloshing condition into the eigenvalue problem and other variational formulations developed for the "nite element method.…”

“…In particular, Amabili [1,2] and Amabili et al [3] used the same approach described here, whereas Gonialves and Ramos [4] did not divide the deformation potential of the #uid into two boundary value problems. Chiba [5,6] and Chiba and Osumi [7] obtained another non-symmetric Galerkin equation inserting in it the sloshing condition.…”

“…Recently, Amabili [1,2], Amabili et al [3], Gonialves and Ramos [4], Chiba [5,6] and Chiba and Osumi [7] have studied vibration of plates, shells and plate}shell systems coupled with sloshing, quiescent and inviscid #uid by inserting the sloshing condition into the eigenvalue problem. This is an interesting semi-analytical approach that allows avoiding the closed-form solution of the velocity potential of sloshing liquid by inserting it into an eigenvalue problem of enlarged dimension.…”

Effect of baffles on a partially filled cubic tank: Numerical simulation and experimental validation

“…Experimental investigations on effect of tank sizes, flexibility of tank bottom wall and effect of frequencies in system were analyzed [6][7][8] to find the liquid sloshing effect. Pal et al presented a numerical model using finite element technique to study the dynamics of inviscid, incompressible liquid cylindrical tanks under small displacements in a coupled manner [9].…”