35 citations · 117 across the 27 of their papers we have counts for
4 papers · 2 filters
On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate
Elvise Berchio, Davide Buoso, Filippo Gazzola
We consider a partially hinged rectangular plate and its normal modes. There are two families of modes, longitudinal and torsional. We study the variation of the corresponding eige…
Instability of modes in a partially hinged rectangular plate
Vanderley Ferreira, Filippo Gazzola, Ederson Moreira dos Santos
We consider a thin and narrow rectangular plate where the two short edges are hinged whereas the two long edges are free. This plate aims to represent the deck of a bridge, either…
Existence of torsional solitons in a beam model of suspension bridge
Vieri Benci, Donato Fortunato, Filippo Gazzola
This paper studies the existence of solitons, namely stable solitary waves, in a suspension bridge. The bridge is modeled as a degenerate plate, that is, a central beam with cross…
Variational formulation of the Melan equation
Filippo Gazzola, Yongda Wang, Raffaella Pavani
The Melan beam equation modeling suspension bridges is considered. A slightly modified equation is derived by applying variational principles and by minimising the total energy of…