Nonlinear aerodynamic stability analysis of orthotropic membrane structures with large amplitude

Zhoulian Zheng, Yunping Xu, Changjiang Liu, Xiaoting He and Weiju Song

Abstract

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.

Key Words

membrane structures; orthotropic; large amplitude; wind-structure interaction; critical instability wind velocity.

Address

Zhoulian Zheng: College of Civil Engineering, Chongqing University, Chongqing 400045, P.R. China; Key Laboratory of New Technology for Construction of China in Mountainous Area, Chongqing University, Chongqing 400045, P.R. China Yunping Xu: College of Civil Engineering, Chongqing University, Chongqing 400045, P.R. China Changjiang Liu: College of Civil Engineering, Chongqing University, Chongqing 400045, P.R. China Xiaoting He: College of Civil Engineering, Chongqing University, Chongqing 400045, P.R. China Weiju Song: College of Civil Engineering, Chongqing University, Chongqing 400045, P.R. China

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