The mixed finite element method for the quasi-static and dynamic analysis of viscoelastic Timoshenko beams

Yalçin Aköz; Fethi Kadioǧlu

doi:10.1002/(SICI)1097-0207(19990430)44:12<1909::AID-NME573>3.0.CO;2-P

The mixed finite element method for the quasi-static and dynamic analysis of viscoelastic Timoshenko beams

Yalçin Aköz^*, Fethi Kadioǧlu

^*Bu çalışma için yazışmadan sorumlu yazar

İnşaat Mühendisliği Bölümü

Istanbul Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

52 Atıf (Scopus)

Özet

The quasi-static and dynamic responses of a linear viscoelastic Timoshenko beam on Winkler foundation are studied numerically by using the hybrid Laplace-Carson and finite element method. In this analysis the field equation for viscoelastic material is used. In the transformed Laplace-Carson space two new functionals have been constructed for viscoelastic Timoshenko beams through a systematic procedure based on the Gâteaux differential. These functionals have six and two independent variables respectively. Two mixed finite element formulations are obtained; TB12 and TB4. For the inverse transform Schapery and Fourier methods are used. The numerical results for quasi-static and dynamic responses of several visco-elastic models are presented.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1909-1932
Sayfa sayısı	24
Dergi	International Journal for Numerical Methods in Engineering
Hacim	44
Basın numarası	12
DOI'lar	https://doi.org/10.1002/(SICI)1097-0207(19990430)44:12<1909::AID-NME573>3.0.CO;2-P
Yayın durumu	Yayınlandı - 30 Nis 1999

Belgeye Erişim

10.1002/(SICI)1097-0207(19990430)44:12<1909::AID-NME573>3.0.CO;2-P

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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abstract = "The quasi-static and dynamic responses of a linear viscoelastic Timoshenko beam on Winkler foundation are studied numerically by using the hybrid Laplace-Carson and finite element method. In this analysis the field equation for viscoelastic material is used. In the transformed Laplace-Carson space two new functionals have been constructed for viscoelastic Timoshenko beams through a systematic procedure based on the G{\^a}teaux differential. These functionals have six and two independent variables respectively. Two mixed finite element formulations are obtained; TB12 and TB4. For the inverse transform Schapery and Fourier methods are used. The numerical results for quasi-static and dynamic responses of several visco-elastic models are presented.",

keywords = "Inverse Laplace transform, Mixed-finite element, Visco-elastic Timoshenko beam",

author = "Yal{\c c}in Ak{\"o}z and Fethi Kadioǧlu",

year = "1999",

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T1 - The mixed finite element method for the quasi-static and dynamic analysis of viscoelastic Timoshenko beams

AU - Aköz, Yalçin

AU - Kadioǧlu, Fethi

PY - 1999/4/30

Y1 - 1999/4/30

N2 - The quasi-static and dynamic responses of a linear viscoelastic Timoshenko beam on Winkler foundation are studied numerically by using the hybrid Laplace-Carson and finite element method. In this analysis the field equation for viscoelastic material is used. In the transformed Laplace-Carson space two new functionals have been constructed for viscoelastic Timoshenko beams through a systematic procedure based on the Gâteaux differential. These functionals have six and two independent variables respectively. Two mixed finite element formulations are obtained; TB12 and TB4. For the inverse transform Schapery and Fourier methods are used. The numerical results for quasi-static and dynamic responses of several visco-elastic models are presented.

AB - The quasi-static and dynamic responses of a linear viscoelastic Timoshenko beam on Winkler foundation are studied numerically by using the hybrid Laplace-Carson and finite element method. In this analysis the field equation for viscoelastic material is used. In the transformed Laplace-Carson space two new functionals have been constructed for viscoelastic Timoshenko beams through a systematic procedure based on the Gâteaux differential. These functionals have six and two independent variables respectively. Two mixed finite element formulations are obtained; TB12 and TB4. For the inverse transform Schapery and Fourier methods are used. The numerical results for quasi-static and dynamic responses of several visco-elastic models are presented.

KW - Inverse Laplace transform

KW - Mixed-finite element

KW - Visco-elastic Timoshenko beam

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DO - 10.1002/(SICI)1097-0207(19990430)44:12<1909::AID-NME573>3.0.CO;2-P

M3 - Article

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The mixed finite element method for the quasi-static and dynamic analysis of viscoelastic Timoshenko beams

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

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