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

Autor: Al-Gharabli Mohammad M.
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Open Mathematics, Vol 22, Iss 1, Pp 537-578 (2024)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2024-0042
Popis: 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.
Databáze: Directory of Open Access Journals