论具有非线性反馈的耦合非线性悬索桥问题的能量衰减

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2024-08-14 DOI:10.1515/math-2024-0042

Mohammad M. Al-Gharabli

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引用次数: 0

摘要

本文研究了具有非线性阻尼的一维悬索桥问题的数学模型。该模型考虑了桥面在垂直面上的振动和主缆的振动，悬索将桥面悬挂在主缆上。我们使用乘法器方法建立了显式和广义的衰减结果，而不对阻尼项施加原点附近的限制性增长假设。我们的结果大大改进、扩展和概括了早期文献中的一些相关结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: