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

WEI De-min; ZHU Mei-ling; LI Di

doi:10.3879/j.issn.1000-0887.2011.03.002

Volume 32 Issue 3

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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

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

doi: 10.3879/j.issn.1000-0887.2011.03.002

1.
State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou 510640, P. R. China;

Received Date: 2010-12-24
Rev Recd Date: 2011-01-14
Publish Date: 2011-03-15

Abstract

Abstract

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.
- open cable-membrane structure,
- critical wind velocity,
- vortex lattice method

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References(9)

References

[1]	Sygulski R. Stability of membrane in low subsonic flow [J]. International Journal of Non-Linear Mechanics, 2007, 42（1）: 196-202. doi: 10.1016/j.ijnonlinmec.2006.11.012
[2]	Miyake A, Yoshimura T, Makino M. Aerodynamic instability of suspended roof modals[J]. Journal of Wind Engineering and Industrial Aerodynamics, 1992, 42（1/3）: 1471-1482. doi: 10.1016/0167-6105(92)90154-3
[3]	杨庆山, 刘瑞霞. 薄膜结构气弹动力稳定性研究[J]. 工程力学, 2006, 23(9): 18-24.(YANG Qing-shan，LIU Rui-xia. On aerodynamic stability of membrane structures[J]. Engineering Mechanics, 2006, 23(9): 18-24.(in Chinese))
[4]	李庆祥, 孙炳楠. 均匀流场中小曲率薄膜的气动稳定性分析[J]. 工程力学, 2006, 23(4): 39-44.(LI Qing-xiang，SUN Bing-nan. Aerodynamic stability analysis of small curved membrane in uniform flow[J].Engineering Mechanics, 2006, 23(4): 39-44.(in Chinese))
[5]	李庆祥，孙炳楠. 封闭薄膜屋盖的风致动力失稳分析[J]. 振动工程学报, 2006, 19(3): 346-353.(LI Qing-xiang, SUN Bing-nan. Wind-induced aerodynamic instability for closed membrane roofs[J]. Journal of Vibration Engineering, 2006, 19(3): 346-353.(in Chinese))
[6]	Bisplinghoff R L, Ashley H. Principles of Aeroelasticity[M]. New York: John Wiley, 1962.
[7]	H W 伏欣. 气动弹性力学原理[M]. 沈克扬译，管德校. 上海: 上海科学技术文献出版社, 1974.(Frsching H W. Grundlagen der Aeroelastik[M]. Berlin, Heidelberg, New York: Springer-Verlag, 1974.)
[8]	沈世钊, 徐崇宝, 赵臣, 武岳. 悬索结构设计[M]. 北京: 中国建筑工业出版社, 2006.(SHEN Shi-zhao, XU Chong-bao, ZHAO Chen, WU Yue. Design of Cable Structures[M].Beijing: China Architecture & Building Press, 2006.(in Chinese))
[9]	SHI Xing, Burnett Eric. Mechanics and test study of flexible membranes ballooning in three dimensions[J]. Building and Environment, 2008, 43（11）: 1871-1881. doi: 10.1016/j.buildenv.2007.11.002