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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (3): 277-284.doi: https://doi.org/10.1007/s10483-011-1413-9

• Articles • 上一篇    下一篇

Aerodynamic unstable critical wind velocity for three-dimensional open cable-membrane structures

魏德敏1,2，朱美玲2，李頔2   

  1. 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, South China University of Technology, Guangzhou 510640, P. R. China
  • 收稿日期:2011-01-04 出版日期:2011-02-28 发布日期:2011-03-01

Aerodynamic unstable critical wind velocity for three-dimensional open cable-membrane structures

WEI De-Min1,2, ZHU Mei-Ling2, LI Di2   

  1. 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, South China University of Technology, Guangzhou 510640, P. R. China
  • Received:2011-01-04 Online:2011-02-28 Published:2011-03-01

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摘要： 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.

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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