Global stabilty analysis of a classical non-conservative system under a follower load

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1991 (EN)
Global stabilty analysis of a classical non-conservative system under a follower load (EN)

Avraam, T (EN)
Kounadis, AN (EN)

N/A (EN)

The bifurcations, critical conditions and global stability of the classical two-degree-of freedom Ziegler's dissipative model under a partial follower load are thoroughly discussed with the aid of a complete non-linear dynamic analysis. Attention is mainly focused on the range of values of the non-conservativeness loading parameter for which adjacent equilibria do not exist. Various characteristic findings are established by studying the nature of the Jacobian matrix eigenvalues associated with the above non-linear autonomous dissipative system. It is found that the system exhibits stable Hopf bifurcations (global stability) for the entire region of non-adjacent equilibria, while the classical linear stability analysis leads to flutter instability (local instability). Moreover, in an explicit general form, the significant effect of damping on the critical (dynamic bifurcation) load is established. On the basis of the latter, the critical loads for the case of vanishing damping are found to be completely different from those of the classical (local) stability analysis. All findings of this analysis are checked against numerical solution of the equations of motion. © 1991. (EN)


Mathematical Models - Applications (EN)
Ziegler's Dissipative Model (EN)
Acoustic Waves - Stability (EN)
Elastic Waves (EN)
Follower Loads (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Journal of Sound and Vibration (EN)



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