Stability Analysis of the Euler Pole by the Catastrophe Theory
Chen Liang
(China Wuhan Design Institute of Light Industry 430060)

Abstract: The energy model of the Euler pole is established in the paper. All of the bifurcation sets and the catastrophe manifolds are obtained by the catastrophe theory. The catastrophe manifolds are composed of a cluster of parabolas that successively sheathe and are non-intersect. The conclusion of stability analysis is more simple and definite than numerical analysis method, for example: method of finite difference, finite element method, non-linear analysis method in large. And it is applicable to the analysis of post-buckling of pole.
Keywords: stability of pole, catastrophe theory, bifurcation set.