具有分数阶拉普拉斯阻尼的截断Bresse-Timoshenko梁

IF 0.4 4区数学 Q4 MATHEMATICS

Contributions To Discrete Mathematics Pub Date : 2023-07-04 DOI:10.47443/cm.2023.031

Luiz Gutemberg Rosário Miranda, C. Raposo, S. Cordeiro

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引用次数: 0

摘要

本文主要研究Elishakoff提出的Timoshenko光束模型。该模型不包含第二频谱，解决了与Timoshenko模型相关的等波速悖论。考虑分数阶拉普拉斯函数产生的阻尼，包括内部阻尼、开尔文-沃伊特阻尼和中间阻尼。指数稳定性不需要系统系数之间的任何关系

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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Truncated Bresse-Timoshenko beam with fractional Laplacian damping

This article focuses on a Timoshenko beam model introduced by Elishakoﬀ. This model is free of the second frequency spectrum and solves the paradox of equal wave speeds, related to Timoshenko’s model. Damping created by a fractional Laplacian is considered, which includes internal damping, Kelvin-Voigt damping, and intermediate damping. Exponential stability is shown without requiring any relationship between the system coeﬃcients

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来源期刊

Contributions To Discrete Mathematics MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.