THE ADDED AIR-MASS OF MEMBRANE STRUCTURES

Wind-induced dynamic response of membrane structures is characterized by fluid-structure coupling interaction, which includes the calculation of the added air-mass on the membrane. Based on the characteristics of membrane structures, the expression of the added air-mass m_ac of the closed membrane structures is derived using the Green function method. The curve of nondimensional added air-mass m_ac/ρl corresponding to geometric scale k of the membrane is obtained and all factors influencing the value of the m_ac/ρl are discussed. Thin aerofoil theory is applied and the expression of the added air-mass m_a0 of the open membrane is deduced. The curve of nondimensional added air-mass m_a0/ρl with geometric scale H/l of the membrane is obtained and all factors influencing the value of m_a0/ρl are discussed. The present study lays down the foundation for the wind-induced nonlinear coupling dynamic analysis of the membrane structures.