Stability of a Timoshenko system with local Kelvin–Voigt damping

Xinhong Tian; Qiong Zhang

doi:10.1007/s00033-016-0765-5

Stability of a Timoshenko system with local Kelvin–Voigt damping

Xinhong Tian, Qiong Zhang^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

27 引用（Scopus）

摘要

In this paper, we study a Timoshenko system with local Kelvin–Voigt damping, which models the dynamics of a beam. We prove that the energy of the system decays exponentially or polynomially and the decay rate depends on properties of material coefficient function. The method is based on the frequency analysis and inequalities of Poincaré’s and Hardy’s type.

源语言	英语
文章编号	20
期刊	Zeitschrift fur Angewandte Mathematik und Physik
卷	68
期	1
DOI	https://doi.org/10.1007/s00033-016-0765-5
出版状态	已出版 - 1 2月 2017

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Tian, X., & Zhang, Q. (2017). Stability of a Timoshenko system with local Kelvin–Voigt damping. Zeitschrift fur Angewandte Mathematik und Physik, 68(1), 文章 20. https://doi.org/10.1007/s00033-016-0765-5

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abstract = "In this paper, we study a Timoshenko system with local Kelvin–Voigt damping, which models the dynamics of a beam. We prove that the energy of the system decays exponentially or polynomially and the decay rate depends on properties of material coefficient function. The method is based on the frequency analysis and inequalities of Poincar{\'e}{\textquoteright}s and Hardy{\textquoteright}s type.",

keywords = "C semigroup, Exponential stability, Kelvin–Voigt damping, Polynomial stability, Timoshenko beam",

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Stability of a Timoshenko system with local Kelvin–Voigt damping

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