Biomedical Engineering Reference
In-Depth Information
Fig. 5.52 a Normal stress
r
XX
obtained along x = 0
and y = [0, D]. b Normal
stress r
YY
obtained along
x = 0 and y = [0, D]
(a)
(b)
The first five vibration frequencies (rad/s) are obtained for beam A with the
three 2D-NNRPIM formulations, with the v2p1 3D-NNRPIM formulation, with
the MLPG [
16
], with the LRPIM [
18
] and with the FEM-ABAQUS The beam A
results are presented in Table
5.11
. The results obtained for beam B are presented
in Table
5.12
. The results of the distinct analyses are obtained for the same nodal
discretization.
It is visible that the results obtained with the NNRPIM are in a very good
agreement with the other meshless method solutions (MPLG and LRPIM) and
with the FEM solution. Notice that for the first vibration mode the 2D NNRPIM
V2P1 formulation and the 3D NNRPIM are much more closer to the FEM results
than all the others formulations.
