, Volume 31, Issue 3, pp 309–322 | Cite as

Bifurcations and subharmonic resonances in multi-degree-of-freedom panel models

  • R. Baumgarten
  • E. Kreuzer


This paper describes the nonlinear, postcritical behavior of parametrically excited, shallow, cylindrical panels, which are modeled with two or four degrees of freedom. The analysis shows complicated dynamic behavior. Stable, periodic motions coexist with the trivial solution for very small values of the excitation amplitude. Moreover, a stable, chaotic attractor could be found coexisting with the trivial solution.

Key words

Structural dynamics Local bifurcation analysis Dynamics of shells Bifurcation and chaos 


Si studia il comportamento postcritico nonlineare di pannelli cilindrici ribassati, soggetti ad eccitazione parametrica e modellati con due o quattro gradi di libertà. L'analisi evidenzia un comportamento dinamico complesso. Moti periodici stabili coesistono con la soluzione banale per valori molto piccoli dell'ampiezza dell'eccitazione. Un attrattore caotico stabile coesiste altresì con tale soluzione per alcuni valori della frequenza dell'eccitazione.


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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • R. Baumgarten
    • 1
  • E. Kreuzer
    • 1
  1. 1.Ocean Engineering Section IITechnical University Hamburg-HarburgHamburgGermany

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