Study on Dynamic Instability of Plane Membrane Structures under Wind Action

풍하중을 받는 평면 막구조물의 동적불안정 판정에 관한 연구

  • Received : 2008.11.17
  • Accepted : 2009.04.02
  • Published : 2009.04.30

Abstract

In this paper, dynamic instability of plane membrane structures under wind action has been studied. The key to solving the governing equations of membrane structures under wind action is how to obtain the air pressure on membrane. 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. Square and rectangular membrane structures are studied. The influence of initial prestressing force and wind direction towards critical wind velocity are also analyzed in this paper.

Acknowledgement

Supported by : Inha University