线性边界条件下一般形状阻尼欧拉-伯努利梁的稳定性研究

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2023-11-14 DOI:10.1155/2023/9939530

Teya Kouakou Kra Isaac, Bomisso Gossrin Jean-Marc, Touré Kidjegbo Augustin, Coulibaly Adama

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引用次数: 0

摘要

本文研究了变系数阻尼欧拉-伯努利梁的一般形状。我们的主要目标是推广已经做过的关于阻尼欧拉-伯努利梁的工作。我们首先研究了系统的谱性质，然后确定了一些渐近表达式，推广了前人的结论。最后，采用已知的方法，在一般情况下建立了系统的Riesz基性质，并在给定反馈系数和研究区间长度为1的内阻尼符号的一定条件下，得到了系统的指数稳定性。

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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Study of the Stability Properties for a General Shape of Damped Euler–Bernoulli Beams under Linear Boundary Conditions

We study in this paper a general shape of damped Euler–Bernoulli beams with variable coefficients. Our main goal is to generalize several works already done on damped Euler–Bernoulli beams. We start by studying the spectral properties of a particular case of the system, and then we determine asymptotic expressions that generalize those obtained by other authors. At last, by adopting well-known techniques, we establish the Riesz basis property of the system in the general case, and the exponential stability of the system is obtained under certain conditions relating to the feedback coefficients and the sign of the internal damping on the interval studied of length

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.