Application of Liapunov’s Direct Method to the Stability Problem of Rods Subject to Follower Forces

  • H. Leipholz
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


We consider an autonomous, dynamic, continuous system in a given state (q, t). The motion of the system can be represented by a path in the Q, T-space, where origin (0, t) may be chosen as the undisturbed state. Our aim is to investigate the conditions under which the undisturbed state is stable in comparison with the disturbed state.


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Copyright information

© Springer-Verlag, Berlin/Heidelberg 1971

Authors and Affiliations

  • H. Leipholz
    • 1
  1. 1.University of WaterlooWaterlooCanada

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