35 citations · 117 across the 27 of their papers we have counts for
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Modeling suspension bridges through the von Kármán quasilinear plate equations
Filippo Gazzola, Yongda Wang
A rectangular plate modeling the deck of a suspension bridge is considered. The plate may widely oscillate, which suggests to consider models from nonlinear elasticity. The von Kár…
Which residual mode captures the energy of the dominating mode in second order Hamiltonian systems?
E. Berchio, F. Gazzola, C. Zanini
Motivated by the instability of suspension bridges, we consider a class of second order Hamiltonian systems where one component initially holds almost all the energy of the system.…
The role of aerodynamic forces in a mathematical model for suspension bridges
E. Berchio, F. Gazzola
In a fish-bone model for suspension bridges studied by us in a previous paper we introduce linear aerodynamic forces. We numerically analyze the role of these forces and we theoret…
A qualitative explanation of the origin of torsional instability in suspension bridges
E. Berchio, F. Gazzola
We consider a mathematical model for the study of the dynamical behavior of suspension bridges. We show that internal resonances, which depend on the bridge structure only, are the…