Aerodynamic Stability Analysis of Geometrically Nonlinear Orthotropic Membrane Structure with Hyperbolic Paraboloid
Publication: Journal of Engineering Mechanics
Volume 137, Issue 11
Abstract
This paper studies the aerodynamic stability of a tensioned, geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid. 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. The interaction governing the equation of wind-structure is established on the basis of large-amplitude theory and the D’Alembert principle. Then, under the circumstance 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 equations with constant coefficients. Through judging the stability of the system characteristic equation, the critical velocity of divergence instability is determined. Different parameter analysis shows that the orthotropy and geometrical nonlinearity is significant for preventing destructive aerodynamic instability in membrane structures. Compared to the planar model, there is a little inconsistency about the divergence instability regularities in the hyperbolic paraboloid model.
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Acknowledgments
This work is supported by Chongqing Municipal Construction Committee, Construction and Scientific 2011 UNSPECIFIEDProject No. 2-76, Study on the Aerodynamic Stability of Membrane Structure in Mountainous City.
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Published In
Journal of Engineering Mechanics
Volume 137 • Issue 11 • November 2011
Pages: 759 - 768
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Nov 15, 2010
Accepted: Jun 2, 2011
Published online: Jun 4, 2011
Published in print: Nov 1, 2011
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