A GENERALIZED VARIATIONAL PRINCIPLE FOR STRUCTURE-BUBBLY LAYER-FLUID INTERACTION PROBLEMS
Zhu Yunxiang;Guo Rixiu (Department of Naval Architecture,Naval Acaclemg of Engineering,Wuhan,430033)
Based on the principle of ststionary potential energy, a generalized variational principle for structure-bubbly layer-fluid interaction problems is prensented. Then,according to the characteristics of thin bubbly layer, the related terms in the functional of the coupled system are properly rearranged. The resulting generalized variational principle shows that, in the case. of thin bubbly layer,a structure-bubbly layer-fluid interaction problem can be transformed into a fluidstructure interaction problem by satisfying three additional equations, namely equation of bubble vibration,continuity equations of velocity and of pressure on the interface.