Abstract
The effects of added mass on structural vibration are generally neglected in the study of responses of common wind-induced vibration. But for such long-span flexible roofs as membrane structures, the vortex-induced vibration due to the vibration induced by added mass cannot be ignored. Based on the characteristics of the wind loads and responses of membrane structures, the thin airfoil aerodynamic theory is applied to calculate air inertia load of the membrane structures for unsteady flows in this paper. Vortex method is used to derive the formula of added mass of membrane and the theoretical results are gained for the first time. Some useful results are obtained through analyzing the effects of inertial load caused by the added mass on dynamic response properties of membrane structures. It is shown that numerical predictions based on this paper are in good agreement with aeroelastic model experiments.
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