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Published in 2019 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800546
Abstract: The Timoshenko system is a distinguished coupled pair of differential equations arising in mathematical elasticity. In the case of constant coefficients, if a damping is added in only one of its equations, it is well‐known…
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Keywords:
coupling bending;
timoshenko systems;
bending moment;
thermal coupling ... See more keywords
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Published in 2022 at "Mathematics and Mechanics of Solids"
DOI: 10.1177/10812865221101864
Abstract: In this paper, we study the long-time dynamics of a Timoshenko system modeling vibrations of beams with non-linear localized damping mechanisms acting on both displacement and angular rotation and subjected to non-linear source terms. Using…
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Keywords:
timoshenko systems;
locally damped;
dynamics locally;
damped timoshenko ... See more keywords