Structural Engineering and Mechanics

  • 제37권4호
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  • Pages.401-413
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  • 2011
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear aerodynamic stability analysis of orthotropic membrane structures with large amplitude

  • Zheng, Zhoulian (College of Civil Engineering, Chongqing University) ;
  • Xu, Yunping (College of Civil Engineering, Chongqing University) ;
  • Liu, Changjiang (College of Civil Engineering, Chongqing University) ;
  • He, Xiaoting (College of Civil Engineering, Chongqing University) ;
  • Song, Weiju (College of Civil Engineering, Chongqing University)
  • 투고 : 2010.06.14
  • 심사 : 2010.10.25
  • 발행 : 2011.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

The aerodynamic stability of orthotropic tensioned membrane structures with rectangular plane is theoretically studied under the uniform ideal potential flow. The aerodynamic force acting on the membrane surface is determined by the potential flow theory in fluid mechanics and the thin airfoil theory in aerodynamics. Then, based on the large amplitude theory and the D'Alembert's principle, the interaction governing equation of wind-structure is established. Under the circumstances of single mode response, the Bubnov-Galerkin approximate method is applied to transform the complicated interaction equation into a system of second order nonlinear differential equation with constant coefficients. Through judging the stability of the system characteristic equation, the critical divergence instability wind velocity is determined. Finally, from different parametric analysis, we can conclude that it has positive significance to consider the characteristics of orthotropic and large amplitude for preventing the instability destruction of structures.

키워드

참고문헌

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피인용 문헌

  1. Aerodynamic Stability Analysis of Geometrically Nonlinear Orthotropic Membrane Structure with Hyperbolic Paraboloid vol.137, pp.11, 2011, https://doi.org/10.1061/(ASCE)EM.1943-7889.0000278
  2. Power series solution of circular membrane under uniformly distributed loads: investigation into Hencky transformation vol.45, pp.5, 2013, https://doi.org/10.12989/sem.2013.45.5.631
  3. Nonlinear wind-induced aerodynamic stability of orthotropic saddle membrane structures vol.164, 2017, https://doi.org/10.1016/j.jweia.2017.02.006
  4. Nonlinear wind-induced instability of orthotropic plane membrane structures vol.25, pp.5, 2017, https://doi.org/10.12989/was.2017.25.5.415
  5. Additional Mass: Orthotropic Membrane Material with Four Sides Fixed in Air Flow vol.8, pp.6, 2020, https://doi.org/10.4236/jamp.2020.86074
  6. Effect of Geometric Nonlinearity on Membrane Roof Stability in Air Flow vol.2020, pp.None, 2020, https://doi.org/10.1155/2020/2305145