On the energy decay of a coupled nonlinear suspension bridge problem with nonlinear feedback

Abstract: In this article, we study a mathematical model for a one-dimensional suspension bridge problem with nonlinear damping. The model takes into consideration the vibration of the bridge deck in the vertical plane and main cable from which the bridge deck is suspended by the suspenders. We use the multiplier method to establish explicit and generalized decay results, without imposing restrictive growth assumption near the origin on the damping terms. Our results substantially improve, extend, and generalize some earlier related results in the literature.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
On the energy decay of a coupled nonlinear suspension bridge problem with nonlinear feedback ; volume:22 ; number:1 ; year:2024 ; extent:14
Open mathematics ; 22, Heft 1 (2024) (gesamt 14)

Creator
Al-Gharabli, Mohammad M.

DOI
10.1515/math-2024-0042
URN
urn:nbn:de:101:1-2408151724211.148265430667
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
24.04.1970, 1:00 AM CET

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Associated

  • Al-Gharabli, Mohammad M.

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