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

Akoz, Y; Kadioglu, Fethi

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

Atıf İçin Kopyala

Akoz Y., Kadioglu F.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, cilt.44, sa.12, ss.1909-1932, 1999 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 44 Sayı: 12
Basım Tarihi: 1999
Doi Numarası: 10.1002/(sici)1097-0207(19990430)44:12<1909::aid-nme573>3.0.co;2-p
Dergi Adı: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1909-1932
İstanbul Teknik Üniversitesi Adresli: Hayır

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 Gateaux 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. Copyright (C) 1999 John Wiley & Sons, Ltd.