Research on the added mass of open-type one-way tensioned membrane structure in uniform flow

The wind pressure on the vibrating membrane can be simplified to be the sum of the aerodynamic acoustic pressure and the quasi-static wind pressure. These pressures are caused by the compressive action of the vibrating membrane on the air and the quasi-static wind pressure on the corresponding membrane at any instant. An analytical expression for the added mass of open-type one-way tensioned membrane vibrating in uniform flow is derived and verified using data from a series of aeroelastic wind tunnel tests. The results show that the added mass caused by the aerodynamic acoustic pressure is equal to 2ρ_airl/nπ, where ρ_air is the density of air; l is the span of the membrane and n is the mode order. The added mass caused by the quasi-static wind pressure is equal to ρairU02an/2y0ωs,n2, where U₀ is the on-coming flow velocity; y₀ is the displacement amplitude; a_n is the shape-change coefficient and ω_s,n is the circular natural frequency of the nth mode. In this study, the difference between analytical and test results is small and within ±9.0%; the added mass caused by the quasi-static wind pressure increases with the on-coming flow velocity and is 2-5 times the component caused by aerodynamic acoustic pressure; and the added mass of the first mode is 3.5-6.9 times the structural mass.