We discuss some nonlinear fourth order differential equations which describe oscillations in suspension bridges. We give strong theoretical and numerical evidence that solutions blow up in finite time with infinitely many wild oscillations. We exhibit an explicit example where this phenomenon occurs and we give a possible new explanation of the collapse of bridges.
Blow-up oscillating solutions to some nonlinear fourth order differential equations describing oscillations for suspension bridges
GAZZOLA, FILIPPO;PAVANI, RAFFAELLA
2012-01-01
Abstract
We discuss some nonlinear fourth order differential equations which describe oscillations in suspension bridges. We give strong theoretical and numerical evidence that solutions blow up in finite time with infinitely many wild oscillations. We exhibit an explicit example where this phenomenon occurs and we give a possible new explanation of the collapse of bridges.File in questo prodotto:
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