A stability and numerical study of the solutions of a Timoshenko system with distributed delay

Carlos A. Nonato; Manoel J. Dos Santos; Jorge A. J. AvilaCarlos A. Raposo

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A stability and numerical study of the solutions of a Timoshenko system with distributed delay

机译：A stability and numerical study of the solutions of a Timoshenko system with distributed delay

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Abstract In this work, we analyze the stability of the semigroup associated with a Timoshenko beam model with distributed delay in the rotation angle equation. We show that the type of stability resulting from the semigroup is directly related to some model coefficients, which constitute the velocities of the system's component equations. In the case of stability of the polynomial type, we prove that rate obtained is optimal. We conclude the work performing a numerical study of the solutions and their energies, associated to discrete system.

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《Mathematische Nachrichten》 |2023年第5期|2090-2108|共19页
作者
Carlos A. Nonato; Manoel J. Dos Santos; Jorge A. J. AvilaCarlos A. Raposo;
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作者单位

Federal University of Bahia;

Federal University of Pará;

Federal University of São João del‐ReiFederal University of Bahia, Salvador;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
distributed delay; exponential decay; finite differences; optimal rate; polynomial decay; Timoshenko system;

A stability and numerical study of the solutions of a Timoshenko system with distributed delay

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