Electron. J. Diff. Equ., Vol. 2015 (2015), No. 174, pp. 1-17.

A mathematical model for suspension bridges with energy dependent boundary conditions

Yongda Wang

Abstract:
We suggest a new mathematical model for dynamical suspension bridge with energy dependent boundary conditions. The roadway of the bridge is viewed as a long-narrow thin rectangular plate. After reducing the evolution problem corresponding to the model to a variational problem, we show that the original evolution problem admits a unique solution. Moreover, the unique solution is explicitly represented.

Submitted November 25, 2014. Published June 23, 2015.
Math Subject Classifications: 35C10, 35L35, 74B20, 74K20.
Key Words: Higher order equation; suspension bridge; energy dependent boundary conditions.

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Yongda Wang
Dipartimento di Matematica
Politecnico di Milano
Piazza Leonardo da Vinci 32
20133 Milano, Italy
email: yongda.wang@polimi.it

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