Nonuniform laminated beam of Lord–Shulman type

Baowei Feng; Victor R. Cabanillas; Edson A. Coayla-Teran; Carlos A. Raposo

doi:10.1111/sapm.12530

Nonuniform laminated beam of Lord–Shulman type

Baowei Feng, Victor R. Cabanillas, Edson A. Coayla-Teran, Carlos A. Raposo

Research output: Contribution to journal › Article (Contribution to Journal) › peer-review

2 Scopus citations

Abstract

The nonuniform thermoelastic laminated beam of the Lord–Shulman type is considered. The model is a two-layered beam with structural damping due to the interfacial slip. The well-posedness is proved by the semigroup theory of linear operators approach together with the Lumer–Phillips theorem. The stability results presented in this paper depend on the nature of a stability function (Formula presented.), which we define in (12). We first prove the lack of exponential stability of the system if (Formula presented.), (Formula presented.). And then, we establish the exponential stability for (Formula presented.) and polynomial decay with rate (Formula presented.) provided (Formula presented.), (Formula presented.). The result is new, and it is the first time that the nonuniform laminated beam is considered.

Original language	English
Pages (from-to)	1123-1154
Number of pages	32
Journal	Studies in Applied Mathematics
Volume	149
Issue number	4
DOIs	https://doi.org/10.1111/sapm.12530
State	Published - 30 Aug 2022

Keywords

laminated beam
stability
thermoelasticity
Timoshenko
well-posedness

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10.1111/sapm.12530

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title = "Nonuniform laminated beam of Lord–Shulman type",

abstract = "The nonuniform thermoelastic laminated beam of the Lord–Shulman type is considered. The model is a two-layered beam with structural damping due to the interfacial slip. The well-posedness is proved by the semigroup theory of linear operators approach together with the Lumer–Phillips theorem. The stability results presented in this paper depend on the nature of a stability function (Formula presented.), which we define in (12). We first prove the lack of exponential stability of the system if (Formula presented.), (Formula presented.). And then, we establish the exponential stability for (Formula presented.) and polynomial decay with rate (Formula presented.) provided (Formula presented.), (Formula presented.). The result is new, and it is the first time that the nonuniform laminated beam is considered.",

keywords = "laminated beam, stability, thermoelasticity, Timoshenko, well-posedness",

author = "Baowei Feng and Cabanillas, {Victor R.} and Coayla-Teran, {Edson A.} and Raposo, {Carlos A.}",

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TY - JOUR

T1 - Nonuniform laminated beam of Lord–Shulman type

AU - Feng, Baowei

AU - Cabanillas, Victor R.

AU - Coayla-Teran, Edson A.

AU - Raposo, Carlos A.

PY - 2022/8/30

Y1 - 2022/8/30

N2 - The nonuniform thermoelastic laminated beam of the Lord–Shulman type is considered. The model is a two-layered beam with structural damping due to the interfacial slip. The well-posedness is proved by the semigroup theory of linear operators approach together with the Lumer–Phillips theorem. The stability results presented in this paper depend on the nature of a stability function (Formula presented.), which we define in (12). We first prove the lack of exponential stability of the system if (Formula presented.), (Formula presented.). And then, we establish the exponential stability for (Formula presented.) and polynomial decay with rate (Formula presented.) provided (Formula presented.), (Formula presented.). The result is new, and it is the first time that the nonuniform laminated beam is considered.

AB - The nonuniform thermoelastic laminated beam of the Lord–Shulman type is considered. The model is a two-layered beam with structural damping due to the interfacial slip. The well-posedness is proved by the semigroup theory of linear operators approach together with the Lumer–Phillips theorem. The stability results presented in this paper depend on the nature of a stability function (Formula presented.), which we define in (12). We first prove the lack of exponential stability of the system if (Formula presented.), (Formula presented.). And then, we establish the exponential stability for (Formula presented.) and polynomial decay with rate (Formula presented.) provided (Formula presented.), (Formula presented.). The result is new, and it is the first time that the nonuniform laminated beam is considered.

KW - laminated beam

KW - stability

KW - thermoelasticity

KW - Timoshenko

KW - well-posedness

UR - https://hdl.handle.net/20.500.12724/17711

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DO - 10.1111/sapm.12530

M3 - Artículo (Contribución a Revista)

AN - SCOPUS:85136843920

SN - 0022-2526

VL - 149

SP - 1123

EP - 1154

JO - Studies in Applied Mathematics

JF - Studies in Applied Mathematics

IS - 4

ER -

Nonuniform laminated beam of Lord–Shulman type

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Keywords

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