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 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1909-1932 |
| Number of pages | 24 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 44 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 30 Apr 1999 |
Keywords
- Inverse Laplace transform
- Mixed-finite element
- Visco-elastic Timoshenko beam