12.07.2015 Views

Tamtam Proceedings - lamsin

Tamtam Proceedings - lamsin

Tamtam Proceedings - lamsin

SHOW MORE
SHOW LESS
  • No tags were found...

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

554 AyadiFigure 3. The curves above show that the finite element method converges in the twocases: without obstacle and in presence of an obstacle. However, the convergence isfaster in the first case than in the second one.Figure 4. The curves above show that the error between the exact and the approximatedbuckling critical load is quadratic if there is not an obstacle and linear if there is an obstacle.5. Conclusion and PerspectivesImplemented for a beam, with a finite element of class C 1 , the numerical algorithmwe are proposing has allowed obtaining the first numerical results, the buckling criticalload and the corresponding buckling mode. We would like to implement it for the plates,but employing a finite element of class C 0 in order to minimize the number of degreesof freedom. Also, we will deal with a unilateral dynamics structures problem. We hopewe could apply the algorithm developed in this paper to compute, at least, the smallestfrequency and the corresponding vibration mode, as well as the dynamical response.TAMTAM –Tunis– 2005

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!