Aerodynamic Stability Analysis of Geometrically Nonlinear Orthotropic Membrane Structure with Hyperbolic Paraboloid

Theoretical and Numerical Studies on Damped Nonlinear Vibration of Orthotropic Saddle Membrane Structures Excited by Hailstone Impact Load

“…e sphere H is a hailstone; v 0 denotes the velocity of the hailstone; (x 0 , y 0 ) is the impact point on membrane surface. e saddle membrane model can be represented by [29]…”

“…According to the von Kármán's large deflection theory and D'Alembert's principle, the compatible equation and dynamic motion equation of orthotropic saddle membrane structures are [28]…”

“…e KBM perturbation method [13] is applied to solve equation (28). Assume the perturbation parameter is ε � (h 2 /ab) ≪ 1; then, equation (28) can be simplified by letting x � x(t) � T(t) as follows:…”

“…e results indicate that the aeroelastic instability is caused by vortex-induced resonance. Xu et al [28,29] and Liu et al [30] studied nonlinear wind-induced aerodynamic stability of orthotropic saddle membrane structures by establishing the interaction governing equations of windstructure coupling based on von Kármán's large amplitude theory and D'Alembert's principle.…”

Hailstone-induced dynamic responses of pretensioned umbrella membrane structure

“…saddle membrane structures, umbrella membrane structures and pneumatic membrane structure; Pagitz and Pellegrino, 2007) are more extensively in application and deserve to be studied. Liu et al (2017) and Xu et al (2011) investigated the nonlinear wind-induced aerodynamic stability of orthotropic saddle membrane structure. Rizzo et al (2011) and Wu et al (2015) studied the aero-elastic instability mechanism of hyperbolic paraboloid membrane structures by wind tunnel experiment.…”