On a nonlinear nonlocal hyperbolic system modeling suspension bridges
Analysis of PDEs
2015-01-16 v1
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.
Cite
@article{arxiv.1501.03624,
title = {On a nonlinear nonlocal hyperbolic system modeling suspension bridges},
author = {Gianni Arioli and Filippo Gazzola},
journal= {arXiv preprint arXiv:1501.03624},
year = {2015}
}