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Lyapunov-Schmidt bifurcation analysis of a supported compressible elastic beam

Lyapunov-Schmidt bifurcation analysis of a supported compressible elastic beam

The archetypal instability of a structure is associated with the eponymous Euler beam, modeled as an inextensible curve which exhibits a supercritical bifurcation at a critical compressive load. In contrast, a soft compressible beam is capable of a subcritical instability, a problem that is far less studied, even though it …