| Title |
A Study on the Dynamic Instability of Doubly Curved Membrane Structures under Wind Action |
| Authors |
Han Sang-Eul ; Hou Xiao-Wu |
| Keywords |
Doubly Curved Surface ; Membrane Structures ; Wind Action ; Dynamic Instability |
| Abstract |
In this paper, dynamic instability problem of doubly curved membrane structures has been studied. The key point to solve the governing equations of membrane structures under wind action is how to obtain the air pressure on membrane structures. Based on Bernoulli’s theorem, fluid pressure has a certain relationship with velocity potential. Velocity potential could be solved according to thin aerofoil theory, where air around the membrane is regarded as a sheet of vortices. In this paper, we take advantage of the most commonly used three-node triangular membrane element and weighted residual-Galerkin method to obtain the determining equation for stability evaluation. The influence of initial prestressing force, wind direction angle and curvature towards critical wind velocity are also analyzed in this paper. |