WEI De-min, ZHU Mei-ling, LI Di. Aerodynamic Unstable Critical Wind Velocity for Three-Dimensional Open Cable-Membrane Structures[J]. Applied Mathematics and Mechanics, 2011, 32(3): 263-270. doi: 10.3879/j.issn.1000-0887.2011.03.002
 Citation: WEI De-min, ZHU Mei-ling, LI Di. Aerodynamic Unstable Critical Wind Velocity for Three-Dimensional Open Cable-Membrane Structures[J]. Applied Mathematics and Mechanics, 2011, 32(3): 263-270.

# Aerodynamic Unstable Critical Wind Velocity for Three-Dimensional Open Cable-Membrane Structures

##### doi: 10.3879/j.issn.1000-0887.2011.03.002
• Rev Recd Date: 2011-01-14
• Publish Date: 2011-03-15
• The aerodynamic unstable critical wind velocity for three-dimensional open cable-membrane structures was investigated.The geometric nonlinearity was introduced into the dynamic equilibrium equations of structures.The disturbances on the structural surface caused by the air flow were simulated by a vortex layer with infinite thickness in the structures.The unsteady Bernoulli equation and the circulation theorem were applied in order to express the aerodynamic pressure as the function of the vortex density.Then,the vortex density was obtained by the vortex lattice method considering the coupling boundary condition.Through the numerical computation for the analytical expressions of the unstable critical wind velocities,some computational results and useful conclusions are obtained.It is found that the initial curvature of open cable-membrane structures has the evident influence on the critical wind velocities of the structures.
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