Abstract

This chapter presents theoretical formulae of the added air mass for the membrane structures that are applied to analyze the wind-induced dynamic response of large-span flexible roof. The thin airfoil aerodynamic theory is applied to calculate added air mass of membrane structures. The vortex sheet of thin airfoil theory fitted to membrane structures in unsteady flows is established. The vortex filaments are used to calculate added mass action on membrane structures. These theoretical results are obtained by some techniques, such as coordinate mapping and mathematical denotation integral, and the formulae of added air mass for the membrane structures are convenient to study the flexible roofs including long-span structures. Finally, the inertia loads induced by the added air mass are used to analyze the dynamic response of the membrane structures in time domain, and some important results of wind-induced vibration of the membrane structures are obtained. The chapter finally discusses the results obtained on the application of FEM and time domain analysis to study vortex-induced vibration of the membrane structures.

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