Non – Linear Buckling Analysis of a pressure vessel, Case study on different Buckling Modes
During buckling, the formation of lobes and subsequent mode jumping phenomenon are taking place simultaneously. Mode jumping is essentially a dynamic process where structure changes from one mode shape to another to reduce strain energy. During loading, the structure reaches a point of instability or Bifurcation point where buckling occurs. At this point many post buckling paths may exist in close proximity or may interact with eachother usually called as mode interaction which leads to mode jumping. Here, buckling analyses is done for thin cylindrical shells and results for 8 modes are compared using variation plots of stress and displacement. The comparison of first 3 modes are plotted together for transition from 2 lobes to 3 lobes, which is been identified as Mode jumping. The reasons for mode jumping phenomenon were observed to be stress flow and change in energy.