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

✍ Scribed by Yalçin Aköz; Fethi Kadioǧlu


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
213 KB
Volume
44
Category
Article
ISSN
0029-5981

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✦ Synopsis


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 Gaˆteaux 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.


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