Dynamical stability of an elastic column and the phenomenon of bifurcation

@inproceedings{Furta1994DynamicalSO,
  title={Dynamical stability of an elastic column and the phenomenon of bifurcation},
  author={Stanislav D. Furta},
  year={1994}
}
The article studies the stability of rectilinear equilibrium shapes of a non-linear elastic thin rod (column or Timoshenko's beam), the ends of which are pressed. Stability is studied by means of the Lyapunov direct method with respect to certain integral characteristics of the type of norms in Sobolev spaces. To obtain equations of motion, a model suggested in [16] is used. Furta [6] solved the problem of stability for all values of the parameter except bifurcational ones. When values of the… CONTINUE READING

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