固体－气幕－液体耦合系统广义变分原理

基于驻值势能原理，本文建立了固体－气幕－液体耦合系统的广义变分原理．本文进一步根据薄气幕层的特性，将广义变分原理的相关项适当组合，得出结论，在薄气幕层情况下，固体－气幕－液体三介质耦合问题可以化为在气泡振动方程、速度与压力连续条件限制下的流－固两介质耦合问题来进行数值计算．

A GENERALIZED VARIATIONAL PRINCIPLE FOR STRUCTURE-BUBBLY LAYER-FLUID INTERACTION PROBLEMS

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.