On a nonlinear nonlocal hyperbolic system modeling suspension bridges

Gianni Arioli; Filippo Gazzola

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arXiv · 1501.03624

On a nonlinear nonlocal hyperbolic system modeling suspension bridges

Gianni Arioli·Filippo Gazzola

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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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Gianni Arioli, Filippo Gazzola. 2015-01-15. On a nonlinear nonlocal hyperbolic system modeling suspension bridges. https://arxiv.org/abs/1501.03624

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