The behavior of a structure with a liquid on a pendulum under a seismic loads

Abstract

A mathematical model of motion of a reservoir partly filled a liquid is considered to examine the mechanical system behavior under seismic loads. For a part of degrees of freedom (associated with translational motions) is treated as kinematic perturbations of the tank but for another one (angular tank motions) is coupled coupled with the liquid sloshing. The analytically-constructed nonlinear model of the coupled motions is illustratively applied to several cases of kinematic and dynamic excitations. For different lengths of the pendulum suspension of the reservoirs and in the case of their translational motions, we analyze the surface wave patterns, the hydrodynamic force and moment. For the case of the NPP Fukushima (Japan) earthquake, we estimate the applicability limits of the pendulum suspension as a tool for mitigation of the structural safety of constructions containing a liquid.