New Potentials in Modeling the Nonlinear Dynamics of the Combined Motion of Structures with Liquid

Abstract

Nonlinear models of the combined motion of structures carrying liquid with a free surface for translational and rotational motion of the carrying structure were constructed based on the variational approach. Using some specific features this method was applied also for modeling structures with limited volumes of liquid for reservoirs of revolution. The obtained model is free from some restricting assumptions used by other authors and more convenient for numerical implementation. The performed study of the development of resonant processes enables considerable revision of the problem of steady resonant motion of structures with liquid and research of transient modes for translational and rotational motion of the carrying structure. Due to new potential in modeling different processes, we generalized the statement of the problem of parametric oscillations of reservoirs with liquid and found some new features of the system behavior. Some potentials for reduction of the effect of liquid mobility on the motion of the carrying structure by the algorithm of compensation of the liquid response on reservoir walls were studied too.