Stability of a Timoshenko system with local Kelvin–Voigt damping

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• 作者：Xinhong Tian ; Qiong Zhang
• 关键词：\(C_0\) ; semigroup ; Kelvin–Voigt damping ; Timoshenko beam ; Polynomial stability ; Exponential stability
• 刊名：Zeitschrift für angewandte Mathematik und Physik
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：68
• 期：1
• 全文大小：
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer International Publishing
• ISSN：1420-9039
• 卷排序：68

文摘

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.