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中文摘要：
将充气膜结构内充气体假定为势流，推导得到速度势表示的内充气体小幅波动方程，并采用Galerkin法离散得到内充气体的有限元动力学方程．引入界面协调条件，建立了内充气体结点速度势与外部膜材结点位移的关系，然后联立薄膜动力方程和气体动力学方程得到充气膜系统内充气体与外部膜材的共同作用理论模型．在该理论模型基础上，建立了两类典型充气结构的数值模型进行分析，通过将数值结果与试验结果对比，验证了共同作用理论模型的准确性和合理性．
英文摘要：
The enclosed air in inflatable membrane structures is assumed as potential flow in this paper. The wave equation of enclosed air was derived, and the finite element dynamic equation was obtained by using Galerkin method. The relation between nodal potential of air elements and nodal displacement of membrane elements was established through the introduction of interface coupling conditions. Then the interacti＇on model of the inflatable membrane structure system was obtained by combining the dynamic equations of both the enclosed air and the membrane. On the basis of the interaction model, two typical inflatable structures were modeled and analyzed to verify the accuracy and rationality of the interaction model by comparing the numerical results with the experimental results.
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