Basins of Attraction of Periodic Oscillations in Suspension Bridges

Celso Grebogi, R. L. Viana, M. S. T. Freitas

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We consider the dynamics of the lowest order transversal vibration mode of a suspension bridge, for which the hangers are treated as one-sided springs, according to the model of Lazer and McKeena [SIAM Review 58, 1990, 537]. We analyze in particular the multi-stability of periodic attractors and the basin of attraction structure in phase space and its dependence with the model parameters. The parameter values used in numerical simulations have been estimated from a number of bridges built in the United States and in the United Kingdom, thus taking into account realistic, yet sometimes simplified, structural, aerodynamical, and physical considerations.

Original languageEnglish
Pages (from-to)207-226
Number of pages19
JournalNonlinear Dynamics
Volume37
Publication statusPublished - 2004

Keywords

  • basins of attraction
  • multistability
  • suspension bridges
  • NONLINEAR DYNAMICS
  • LINEAR-OSCILLATOR
  • SYSTEMS
  • MODEL
  • MULTISTABILITY
  • BOUNDARIES

Cite this

Basins of Attraction of Periodic Oscillations in Suspension Bridges. / Grebogi, Celso; Viana, R. L.; Freitas, M. S. T.

In: Nonlinear Dynamics, Vol. 37, 2004, p. 207-226.

Research output: Contribution to journalArticle

Grebogi, Celso ; Viana, R. L. ; Freitas, M. S. T. / Basins of Attraction of Periodic Oscillations in Suspension Bridges. In: Nonlinear Dynamics. 2004 ; Vol. 37. pp. 207-226.
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