Abstract:

The p-version FEM has proven to be very efficient for static problem. An analysis of the possibilities of this method on vibration problem is presented. The method is first explained and compared with the classic h-version FEM. Then, convergence indicators are defined and a convergence analysis is performed. To follow the performance on diverse situations, three types of plates are used as test problems: a rectangular plate, an L plate, and a stiffened plate. It is shown that the p-version outperforms the classic h-version by an average factor of 5 (the number of converged eigenvalues, for the same number of DOF, is five times greater). [Work supported by NSERC and FCAR.]