Aerodynamic unstable critical wind velocity for three-dimensional open cable-membrane structures |
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Authors: | De-min Wei Mei-ling Zhu Di Li |
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Institution: | De-min WEI1,2,Mei-ling ZHU2,Di LI2(1.State Key Laboratory of Subtropical Building Science,South China University of Technology,Guangzhou 510640,P.R.China,2.School of Civil Engineering and Transportation,P.R.China) |
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Abstract: | The aerodynamic unstable critical wind velocity for three-dimensional open cable-membrane structures is investigated. The
geometric nonlinearity is introduced into the dynamic equilibrium equations of structures. The disturbances on the structural
surface caused by the air flow are simulated by a vortex layer with infinite thickness in the structures. The unsteady Bernoulli
equation and the circulation theorem are applied in order to express the aerodynamic pressure as the function of the vortex
density. The vortex density is then obtained with the vortex lattice method considering the coupling boundary condition. From
the analytical expressions of the unstable critical wind velocities, numerical results and some useful conclusions are obtained.
It is found that the initial curvature of open cable-membrane structures has clear influence on the critical wind velocities
of the structures. |
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Keywords: | open cable-membrane structure critical wind velocity vortex lattice method |
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