DOI: 10.1177/09217134261469841 ISSN: 0921-7134

Exponential Stability of Suspension Bridge With Kelvin-Voigt Damping and Non-Homogeneous Structure

Srikanta Ram, Ganesh C Gorain, Carlos Alberto Raposo da Cunha

This article deals with a suspension bridge where the main cable is under Kelvin-Voigt damping and the deck is composed of a non-homogeneous flexible structure. The well-posedness is established using the Lumer–Phillips theorem. The uniform stabilization of the system is achieved by constructing a Lyapunov functional that provides an explicit exponential energy decay rate.

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