Parametric Instability of Euler Beams under Random Wind Loads

Abstract

The present study discusses the approach of dynamic stability analysis for pin-ended beams under random wind loads. The Schwarz’s inequality is adopted to determine the boundary of dynamic instability, and analyses under a real time history of wind forces are carefully carried out. Studies show that the relationship of variance and mean of wind load determines the state of parametric stability of the beam. Increase of the variance or the mean will make the beam be subject to instability. The beam becomes more stable with stronger elasticity, higher damping and density.