Nonlinear Dynamic Buckling and Stability of Autonomous Dissipative Discrete Structural Systems

Non-Potential Systems
  • A. N. Kounadis
Part of the International Centre for Mechanical Sciences book series (CISM, volume 342)


The stability of perfect bifurcational discrete dissipative systems under follower loading in regions of existence/non-existence of adjacent equilibria is reexamined in the light of recent progress in nonlinear dynamics. A general qualitative theory for such non-potential autonomous systems which may exhibit a periodic attractor in addition to a point one is developed. Conditions for the existence of adjacent equilibria and for different types of local dynamic bifurcations are established. Focusing attention on the coupling effect of geometric (and/or material) nonlinearities and vanishing damping new findings contradicting widely accepted results of the classical (linear) analysis are explored. Thus, in a small region of adjacent equilibria it is found that the static stability criterion may fail to predict the actual critical load.


Hopf Bifurcation Critical Load Negative Real Part Divergence Instability Follower Load 
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Copyright information

© Springer-Verlag Wien 1995

Authors and Affiliations

  • A. N. Kounadis
    • 1
  1. 1.National Technical University of AthensAthensGreece

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