Abstract

The unfolding, via imperfections, on an asymmetric bifurcation may result in both stable and unstable equilibrium paths. In practive it it quite possible that an analysis will be performed on the stable path only without the analyst knowing of the adjacent unstable path. This process could lead to a disastrous design. In this paper we propose a simple indicator based on the local minimum of the smallest pivot of the tangent stuffness matrix, which can be used to warn the analyst of the danger. In addition if he wishes, he can employ a simple eigenmode injection technique to analyse the unstable path. Numerical examples are presented which prove that both the indicator and branching technique are efficient and reliable.

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