A two-dimensional semi-analytic solution on two-layered liquid sloshing in a rectangular tank with a horizontal elastic baffle

A semi-analytic study on two-layered liquid sloshing in a horizontal excited two-dimensional rectangular tank with elastic baffle was performed. The present work is further development of the semi-analytical technique for solving single-layer problem. located lower or upper liquid. First, complex domain baffled divided into several simple sub-domains to solve analytic solution. wet mode presented according Eulerian Bernoulli beam. continuity boundary condition interfaces between two liquids and virtual given. Then, formal solution derived each sub-domain using superposition principle method separation variables. total velocity potential subject lateral excitation summed over container function disturbance potential. dynamic response equation established. Multiple methods verified solution's correctness agreed well other methods. Finally, numerical analysis mainly shows that density ratio becomes more significant coupled frequency when large baffle's width suppresses flow effectively. Furthermore, adjusting layered parameters can significantly suppress sloshing. For seismic response, elevation energy after 2.5 s.