The Nonlinear Instability Critical Wind Velocity of Orthotropic Plane Membrane Structures.

The nonlinear instability critical wind velocity of orthotropic plane membrane structures is obtained by theoretical derivation. The governing equation of wind-structure coupling is established by the Von Kármán's large amplitude theory and the D'Alembert's principle. Then the governing equation is transformed into a second order nonlinear differential equation with constant coefficients by the Bubnov-Galerkin method. From the critical wind velocity, we can see that the formula of the critical wind velocity provides a more accurate theoretical solution for the aerodynamic stability of the plane membrane structures than the previous studies. [ABSTRACT FROM AUTHOR]