Viscoelastic timoshenko beams with occasionally constant relaxation functions

Nasser Eddine Tatar

doi:10.1007/s00245-012-9167-z

Viscoelastic timoshenko beams with occasionally constant relaxation functions

Nasser Eddine Tatar^*

^*Corresponding author for this work

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

12 Scopus citations

Abstract

For a prescribed desirable arbitrary decay suitable viscoelastic materials are determined through their relaxation functions. It is shown that if we wish to have a decay of order γ(t) then the kernels should be of the same order. That is their product with this function should be summable.

Original language	English
Pages (from-to)	123-145
Number of pages	23
Journal	Applied Mathematics and Optimization
Volume	66
Issue number	1
DOIs	https://doi.org/10.1007/s00245-012-9167-z
State	Published - Aug 2012

Bibliographical note

Funding Information:
The author is grateful for the financial support and the facilities provided by King Fahd University of Petroleum and Minerals. He is also thankful to the anonymous referee for his/her interesting comments and suggestions.

Keywords

Arbitrary decay
Memory term
Relaxation function
Stabilization
Timoshenko beam
Viscoelasticity

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

Access to Document

10.1007/s00245-012-9167-z

Cite this

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title = "Viscoelastic timoshenko beams with occasionally constant relaxation functions",

abstract = "For a prescribed desirable arbitrary decay suitable viscoelastic materials are determined through their relaxation functions. It is shown that if we wish to have a decay of order γ(t) then the kernels should be of the same order. That is their product with this function should be summable.",

keywords = "Arbitrary decay, Memory term, Relaxation function, Stabilization, Timoshenko beam, Viscoelasticity",

author = "Tatar, \{Nasser Eddine\}",

note = "Funding Information: The author is grateful for the financial support and the facilities provided by King Fahd University of Petroleum and Minerals. He is also thankful to the anonymous referee for his/her interesting comments and suggestions.",

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pages = "123--145",

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T1 - Viscoelastic timoshenko beams with occasionally constant relaxation functions

AU - Tatar, Nasser Eddine

N1 - Funding Information: The author is grateful for the financial support and the facilities provided by King Fahd University of Petroleum and Minerals. He is also thankful to the anonymous referee for his/her interesting comments and suggestions.

PY - 2012/8

Y1 - 2012/8

N2 - For a prescribed desirable arbitrary decay suitable viscoelastic materials are determined through their relaxation functions. It is shown that if we wish to have a decay of order γ(t) then the kernels should be of the same order. That is their product with this function should be summable.

AB - For a prescribed desirable arbitrary decay suitable viscoelastic materials are determined through their relaxation functions. It is shown that if we wish to have a decay of order γ(t) then the kernels should be of the same order. That is their product with this function should be summable.

KW - Arbitrary decay

KW - Memory term

KW - Relaxation function

KW - Stabilization

KW - Timoshenko beam

KW - Viscoelasticity

UR - https://www.scopus.com/pages/publications/84861967289

U2 - 10.1007/s00245-012-9167-z

DO - 10.1007/s00245-012-9167-z

M3 - Article

AN - SCOPUS:84861967289

SN - 0095-4616

VL - 66

SP - 123

EP - 145

JO - Applied Mathematics and Optimization

JF - Applied Mathematics and Optimization

IS - 1

ER -

Viscoelastic timoshenko beams with occasionally constant relaxation functions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this