006 Imperfection And Perturbation Effect On Buckling

Two rigid elements are connected with a hinge at point c with a translational spring with a constant stiffness of k. The system is under a compressive load of P at the end B, supported by a roller. The system can be under a perturbation load like 𝜀𝑃 or imperfection in the erection phase with an initial angle of 𝜃0. In both conditions:

1. Determine the total potential energy of the system.
2. Sketch the equilibrium buckling path with different values of e or 𝜃0.
3. Determine the bifurcation point.

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