Research On Characteristics And Stability Of Sloshing In Liquid-filled Tanks

The liquid-filled tanks are widely used in the fields of aerospace engineering,transportation,chemical engineering,where liquid sloshing has an important influence on the dynamic characteristics of the supporting structure.The theoretical analysis,numerical simulation and experimental verification are applied to study the sloshing and its stability of rectangular or cylindrical tanks.The main works of this paper are as follows:For the small-amplitude sloshing case,the sloshing dynamics of a liquid-solid coupling system is analyzed based on the finite element method and shallow water wave theory.The structural dynamic characteristics of liquid-filled system and the liquid sloshing behavior considering the liquid-solid coupling effect are revealed.In order to study the sloshing dynamics under external excitation,the equivalent pendulum model for the cylindrical tank subjected to the longitudinal displacement excitation is established via an equivalent method.Afterwards,the stability boundaries of the liquid sloshing are presented by means of small parameter perturbation approach,and then the effects of the diameter and height of the tank on the stability region.The nonlinear dynamic behavior of liquid sloshing is numerically revealed based on the equivalent pendulum model.As a result,the wave height in liquid sloshing is analytically given based on the equivalent mass-spring model,with the verification of the finite element method.Finally,the equivalent mass-spring model is used to analyze the difference of the forces acting on the tanks and the natural frequency with different arrangement of multi-tank.For the large-amplitude sloshing case,the wave breaking phenomenon of liquid sloshing in the rectangular tank is studied by using the smooth particle hydrodynamics(SPH)method,and the effects of the damping plate and filling radio on the wall pressure and sloshing wave height are studied.Secondly,a binocular camera is used to obtain the three-dimensional coordinate value of sloshing by the marks on the free surface,and the frequency and damping ratio of liquid sloshing are obtained.