When the membrane material in the air field vibrates, it will drive the movement\nof the surrounding air. The aerodynamic force generated by the moving\nair will act on the membrane material in turn, resulting in the change of dynamic\ncharacteristics such as membrane vibration frequency. In this paper,\nthe additional air mass produced by membrane vibration in air is studied.\nFirstly, under the assumption that the incoming flow is uniform and incompressible\nideal potential flow, the additional air mass acting on the surface is\nderived by using the thin airfoil theory and potential flow theory respectively.\nThen, according to the first law of thermodynamics and the principle of aeroelasticity,\nthe analytical expression of the additional air mass is derived. Finally,\nthrough a specific example, the variation of the additional air mass with\nthe membrane material parameters and pretension, as well as the influence of\nthe aerodynamic force on the vibration frequency and amplitude of the\nmembrane is obtained.
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