Research Article
FE-Meshfree QUAD4 Element with Modified Radial Point Interpolation Function for Structural Dynamic Analysis
Table 4
Natural frequencies (×104 Hz) of a cantilever beam for 10 elements.
| | Number of elements | Number of nodes | FEM-QUAD4 | FE-Meshfree (QS, ) | FE-Meshfree (MQ, ) | FE-Meshfree (MQ, ) | FE-Meshfree (Exp, ) | FE-Meshfree (Exp, ) | Reference (ABAQUS Quad8) |
| | (10 × 1) 10 | 22 | 0.1000 | 0.0824 | 0.0825 | 0.0909 | 0.1130 | 0.0848 | 0.0822 | | 0.6077 | 0.5058 | 0.5050 | 0.5455 | 0.6732 | 0.5120 | 0.4931 | | 1.2863 | 1.2846 | 1.2844 | 1.2849 | 1.2858 | 1.2839 | 1.2823 | | 1.6422 | 1.3672 | 1.3621 | 1.4281 | 1.7140 | 1.3539 | 1.2990 | | 3.0958 | 2.5583 | 2.5437 | 2.5729 | 2.9437 | 2.4719 | 2.3607 | | 3.8918 | 3.8421 | 3.8430 | 3.8384 | 3.8596 | 3.8071 | 3.6002 | | 4.9311 | 4.0208 | 3.9947 | 3.9079 | 4.2015 | 3.8405 | 3.8442 | | 6.5947 | 5.6927 | 5.6693 | 5.4218 | 5.4614 | 5.3572 | 4.9566 | | 7.1110 | 6.3692 | 6.3762 | 6.3422 | 6.4073 | 6.3656 | 6.3897 | | 9.4517 | 7.5079 | 7.5313 | 7.1592 | 6.8653 | 7.1909 | 6.3972 | | 9.5747 | 8.8600 | 8.8821 | 8.7702 | 8.6496 | 8.8518 | 7.8719 | | 12.188 | 9.4823 | 9.6067 | 9.1641 | 9.8540 | 9.4100 | 8.9331 |
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