Stability analysis for a Rao-Nakra sandwich beam equation with time-varying weights and frictional dampings

Adel M. Al-Mahdi; Maher Noor; Mohammed M. Al-Gharabli; Baowei Feng; Abdelaziz Soufyane

doi:10.3934/math.2024615

Stability analysis for a Rao-Nakra sandwich beam equation with time-varying weights and frictional dampings

Adel M. Al-Mahdi^*, Maher Noor, Mohammed M. Al-Gharabli, Baowei Feng, Abdelaziz Soufyane

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we studied the asymptotic behavior of solutions for a Rao-Nakra sandwich beam equation with time-varying weights and frictional damping terms acting complementarily in the domain. We studied the effect of the three damping on the asymptotic behavior of the energy function. Under nonrestrictive on the growth assumption on the frictional damping terms, we established exponential and general energy decay rates for this system by using the multiplier approach. The results generalized some earlier decay results on the Rao-Nakra sandwich beam equation.

Original language	English
Pages (from-to)	12570-12587
Number of pages	18
Journal	AIMS Mathematics
Volume	9
Issue number	5
DOIs	https://doi.org/10.3934/math.2024615
State	Published - 2024

Bibliographical note

Publisher Copyright:
© 2024 the Author(s), licensee AIMS Press.

Keywords

multilayer beam
multiplier method
stability

ASJC Scopus subject areas

General Mathematics

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10.3934/math.2024615

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title = "Stability analysis for a Rao-Nakra sandwich beam equation with time-varying weights and frictional dampings",

abstract = "In this paper, we studied the asymptotic behavior of solutions for a Rao-Nakra sandwich beam equation with time-varying weights and frictional damping terms acting complementarily in the domain. We studied the effect of the three damping on the asymptotic behavior of the energy function. Under nonrestrictive on the growth assumption on the frictional damping terms, we established exponential and general energy decay rates for this system by using the multiplier approach. The results generalized some earlier decay results on the Rao-Nakra sandwich beam equation.",

keywords = "multilayer beam, multiplier method, stability",

author = "Al-Mahdi, \{Adel M.\} and Maher Noor and Al-Gharabli, \{Mohammed M.\} and Baowei Feng and Abdelaziz Soufyane",

note = "Publisher Copyright: {\textcopyright} 2024 the Author(s), licensee AIMS Press.",

year = "2024",

doi = "10.3934/math.2024615",

language = "English",

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pages = "12570--12587",

journal = "AIMS Mathematics",

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TY - JOUR

T1 - Stability analysis for a Rao-Nakra sandwich beam equation with time-varying weights and frictional dampings

AU - Al-Mahdi, Adel M.

AU - Noor, Maher

AU - Al-Gharabli, Mohammed M.

AU - Feng, Baowei

AU - Soufyane, Abdelaziz

PY - 2024

Y1 - 2024

N2 - In this paper, we studied the asymptotic behavior of solutions for a Rao-Nakra sandwich beam equation with time-varying weights and frictional damping terms acting complementarily in the domain. We studied the effect of the three damping on the asymptotic behavior of the energy function. Under nonrestrictive on the growth assumption on the frictional damping terms, we established exponential and general energy decay rates for this system by using the multiplier approach. The results generalized some earlier decay results on the Rao-Nakra sandwich beam equation.

AB - In this paper, we studied the asymptotic behavior of solutions for a Rao-Nakra sandwich beam equation with time-varying weights and frictional damping terms acting complementarily in the domain. We studied the effect of the three damping on the asymptotic behavior of the energy function. Under nonrestrictive on the growth assumption on the frictional damping terms, we established exponential and general energy decay rates for this system by using the multiplier approach. The results generalized some earlier decay results on the Rao-Nakra sandwich beam equation.

KW - multilayer beam

KW - multiplier method

KW - stability

UR - https://www.scopus.com/pages/publications/85189370309

U2 - 10.3934/math.2024615

DO - 10.3934/math.2024615

M3 - Article

AN - SCOPUS:85189370309

SN - 2473-6988

VL - 9

SP - 12570

EP - 12587

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 5

ER -

Stability analysis for a Rao-Nakra sandwich beam equation with time-varying weights and frictional dampings

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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