The mechanics of inelastic buckling using a Shanley-like model

Abstract

This paper presents a study of the mechanics of inelastic buckling using a Shanley-like simplified column model. The model is an extension of the original Shanley model with multiple springs and two dampers. The inclusion of damping enables the dynamic response of the model under constant loading to be captured. The model has been evaluated against the tangent-modulus and reduced-modulus critical buckling loads, and has been found effective in representing the progressive change in the regions of loading and unloading during inelastic buckling. It is also able to simulate the extreme situations of inelastic buckling by varying the ratio of the two damping coefficients. It is seen that high rotational damping, relative to vertical damping, causes the buckling to move towards the reduced-modulus buckling load at much lower deflections than when the relationship is reversed.