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 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.