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

Akoz Y., Kadioglu F.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol.44, no.12, pp.1909-1932, 1999 (SCI-Expanded) identifier identifier


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.