Codice | 04/2015 |
Titolo | On a nonlinear nonlocal hyperbolic system modeling suspension bridges |
Data | 2015-01-26 |
Autore/i | Arioli, G.; Gazzola, F. |
Link | Download full text | Pubblicato | inviato al Milan Journal of Mathematics |
Abstract | We suggest a new model for the dynamics of a suspension bridge through a system of nonlinear nonlocal hyperbolic differential equations.
The equations are of
second and fourth order in space and describe the behavior of the main components of the bridge: the deck, the sustaining cables and the connecting
hangers. We perform a careful energy balance and we derive the equations from a variational principle. We then prove existence and uniqueness for
the resulting problem. |
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