Dynamics Analysis and Simulation for Fluid-Structure Coupled Vibration of Liquid Container

The analysis process for the linear coupled vibration of a circular container and its inner liquid often uses FEM method. An equation set which contained the fluid node pressure and the structure node displacement was formed, based on these equations, in this paper, a new equation set which has a smaller dimension and symmetrical form is obtained by the method of model reduction and coordinate symmetrization. By solving the boundary value problems of equivalent Laplace formulas, the additional masses matrix, additional stiffness matrix and coupling matrix which have effect from fluid to structure are gained. The example of the modal analysis for liquid container demonstrates that this method presented in this paper can get the modal frequency accurately and rapidly in fluid-structure coupled vibration system and other similar engineering realm.