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Wind and Structures Volume 25, Number 5, November 2017 , pages 415-432 DOI: https://doi.org/10.12989/was.2017.25.5.415 |
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Nonlinear wind-induced instability of orthotropic plane membrane structures |
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Changjiang Liu, Feng Ji, Zhoulian Zheng, Yuyou Wu and Jianjun Guo
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| Abstract | ||
| he nonlinear aerodynamic instability of a tensioned plane orthotropic membrane structure is theoretically investigated in this paper. The interaction governing equation of wind-structure coupling is established by the Von Kármán\'s large amplitude theory and the D\'Alembert\'s principle. The aerodynamic force is determined by the potential flow theory of fluid mechanics and the thin airfoil theory of aerodynamics. Then the interaction governing equation is transformed into a second order nonlinear differential equation with constant coefficients by the Bubnov-Galerkin method. The critical wind velocity is obtained by judging the stability of the second order nonlinear differential equation. From the analysis of examples, we can conclude that it\'s of great significance to consider the orthotropy and geometrical nonlinearity to prevent the aerodynamic instability of plane membrane structures; we should comprehensively consider the effects of various factors on the design of plane membrane structures; and the formula of critical wind velocity obtained in this paper provides a more accurate theoretical solution for the aerodynamic stability of the plane membrane structures than the previous studies. | ||
| Key Words | ||
| membrane structures; orthotropy; nonlinearity; wind-induced instability; critical wind velocity | ||
| Address | ||
| Changjiang Liu: State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu, 610059, China; Department of Structural Engineering, University of California, San Diego, La Jolla, CA 92093, USA Feng Ji: State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu, 610059, China Zhoulian Zheng: College of Civil Engineering, Chongqing University, Chongqing, 400045, China Yuyou Wu: Department of Buildings, Shenzhen Institute of Urban Safety, Shenzhen, Guangdong, 518000, China Jianjun Guo: Chongqing Water Resources and Electric Engineering College, Yongchuan, Chongqing, 402160, China | ||