Quantified energy decay of Euler–Bernoulli beams on an unbounded star-shaped network

This work duscusses the energy decay rates of an infinite star-shaped network of beams with a slight degree of structural damping. Using frequency domain method we prove that the whole system is polynomially stable under some condition on the lengths of the rods.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-08-13
DOI
https://doi.org/10.5269/bspm.77325
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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article

Quantified energy decay of Euler–Bernoulli beams on an unbounded star-shaped network

Amina Boukhatem
Boletim da Sociedade Paranaense de Matemática
Stability and Controllability of Differential Equations
article

Quantified energy decay of Euler–Bernoulli beams on an unbounded star-shaped network

Amina Boukhatem
article en

Abstract

This work duscusses the energy decay rates of an infinite star-shaped network of beams with a slight degree of structural damping. Using frequency domain method we prove that the whole system is polynomially stable under some condition on the lengths of the rods.

Boletim da Sociedade Paranaense de MatemáticaVol. 43(1)
Openalex Percentile: Top 69%
Stability and Controllability of Differential Equations
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Quantified energy decay of Euler–Bernoulli beams on an unbounded star-shaped network — Amina Boukhatem · Boletim da Sociedade Paranaense de Matemática (2025) | TGRS Research Map | TGRS