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math.AP2016
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…
math.AP2014
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…