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(1) Stability issues with equilibrium bifurcation (also known as bifurcation point instability). Improving the buckling of a straight rod under axial compression and improving the buckling of a flat plate under mid-plane compression both fall into this category.
(2) Stability issues or instability due to unbalanced bifurcation (also known as instability at extreme points). Eccentrically loaded compression members made of construction steel lose their stability when the degree of plasticity reaches a certain level, falling into this category.
(3) Jumping instability is different from the above two types. It has neither equilibrium bifurcation points nor extreme points. It involves jumping to another stable equilibrium state after losing stable equilibrium.
It is crucial to distinguish the nature of structural instability types, as this is essential for accurately estimating the structural stability capacity. With the gradual deepening of research on stability issues, the aforementioned classification seems insufficient. Components designed for axial compression inevitably exhibit some initial bending, and the point of load application is also inevitably eccentric. Therefore, to truly grasp the performance of such components, we must understand the impact of defects on them. Other components also face the issue of defect impact. On the other hand, it is important to conduct in-depth research on the post-buckling performance of components.
