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 language | English |
|---|---|
| Pages (from-to) | 207-226 |
| Number of pages | 19 |
| Journal | Nonlinear Dynamics |
| Volume | 37 |
| Publication status | Published - 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 journal › Article
}
TY - JOUR
T1 - Basins of Attraction of Periodic Oscillations in Suspension Bridges
AU - Grebogi, Celso
AU - Viana, R. L.
AU - Freitas, M. S. T.
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
KW - basins of attraction
KW - multistability
KW - suspension bridges
KW - NONLINEAR DYNAMICS
KW - LINEAR-OSCILLATOR
KW - SYSTEMS
KW - MODEL
KW - MULTISTABILITY
KW - BOUNDARIES
M3 - Article
VL - 37
SP - 207
EP - 226
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
SN - 0924-090X
ER -