Stability analysis of laminated beams with Kelvin–Voigt damping and strong time delay

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2022-09-12 DOI:10.3233/asy-221802

C. Nonato, C. Raposo, B. Feng, A. Ramos

引用次数: 1

Abstract

In this paper we consider a model of laminated beams combining viscoelastic damping and strong time-delayed damping. The global well-posedness is proved by using the theory of semigroups of linear operators. We prove the lack of exponential stability when the speed wave propagations are not equal. In fact, we show in this situation, that the system goes to zero polynomially with rate t − 1 / 2 . On the other hand, by constructing some suitable multipliers, we establish that the energy decays exponentially provided the equal-speed wave propagations hold.

查看原文本刊更多论文

Kelvin–Voigt阻尼和强时滞叠层梁的稳定性分析

本文考虑了粘弹性阻尼和强时滞阻尼相结合的层合梁模型。利用线性算子的半群理论证明了全局适定性。我们证明了当速度波传播不相等时，缺乏指数稳定性。事实上，我们证明了在这种情况下，系统以速率t−1/2多项式为零。另一方面，通过构造一些合适的乘法器，我们确定了在等速度波传播成立的情况下，能量呈指数衰减。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.