35 citations · 117 across the 27 of their papers we have counts for
5 papers · 1 filter
Thresholds for hanger slackening and cable shortening in the Melan equation for suspension bridges
Filippo Gazzola, Gianmarco Sperone
The Melan equation for suspension bridges is derived by assuming small displacements of the deck and inextensible hangers. We determine the thresholds for the validity of the Melan…
Loss of energy concentration in nonlinear evolution beam equations
Maurizio Garrione, Filippo Gazzola
Motivated by the oscillations that were seen at the Tacoma Narrows Bridge, we introduce the notion of solutions with a prevailing mode for the nonlinear evolution beam equation $$…
Energy transfer between modes in a nonlinear beam equation
Ubertino Battisti, Elvise Berchio, Alberto Ferrero +1
We consider the nonlinear nonlocal beam evolution equation introduced by Woinowsky- Krieger. We study the existence and behavior of periodic solutions: these are called nonlinear m…
Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation
Carlo Gasparetto, Filippo Gazzola
We consider a class of Hill equations where the periodic coefficient is the squared solution of some Duffing equation plus a constant. We study the stability of the trivial solutio…
A measure of the torsional performances of partially hinged rectangular plates
Elvise Berchio, Davide Buoso, Filippo Gazzola
We introduce a new functional, named gap function, which measures the torsional instability of a partially hinged rectangular plate, aiming to model the deck of a bridge. Then we t…