Mat-1.3656 Seminar on
numerical analysis and computational science
Monday, Feb 15, 2010, room
U322 at 14.15, Eirola & Stenberg
Alexis Fedoroff, A!
Example of anomalous buckling behaviour in structural mechanics
In the introduction part of this presentation basic notions of
stability analysis and bifurcation theory will be reviewed. Some
advanced tools such as the Liapunov-Schmidt reduction will be presented
in the discrete case. This tool enables the stability analysis of the
post-buckling path for multi-dimensional systems. The core of the
presentation will focus on a particular case of a spring-rigid body
system which has non-excpected buckling behaviour. It will be shown
that the buckling mode of the example system is not included in the
spectrum of the linearized eigenvalue problem. It means that a
numerical method based on the linearized eigenvalue problem is unable
to get a correct approximation of the critical value for our example.