Research Article
FE-Meshfree QUAD4 Element with Modified Radial Point Interpolation Function for Structural Dynamic Analysis
Table 7
Natural frequencies (×104 Hz) of a cantilever beam for 1000 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) |
| | (100 × 10) 1000 | 1111 | 0.0824 | 0.0822 | 0.0822 | 0.0824 | 0.0830 | 0.0824 | 0.0822 | | 0.4947 | 0.4933 | 0.4933 | 0.4943 | 0.4978 | 0.4940 | 0.4931 | | 1.2825 | 1.2824 | 1.2824 | 1.2824 | 1.2825 | 1.2824 | 1.2823 | | 1.3037 | 1.2995 | 1.2994 | 1.3019 | 1.3110 | 1.3011 | 1.2990 | | 2.3707 | 2.3618 | 2.3614 | 2.3654 | 2.3817 | 2.3641 | 2.3607 | | 3.6183 | 3.6023 | 3.6015 | 3.6068 | 3.6312 | 3.6050 | 3.6002 | | 3.8450 | 3.8445 | 3.8444 | 3.8445 | 3.8446 | 3.8443 | 3.8442 | | 4.9858 | 4.9600 | 4.9586 | 4.9649 | 4.9981 | 4.9627 | 4.9566 | | 6.3996 | 6.3944 | 6.3923 | 6.3972 | 6.3970 | 6.3968 | 6.3897 | | 6.4332 | 6.3976 | 6.3975 | 6.3992 | 6.4415 | 6.3972 | 6.3972 | | 7.9335 | 7.8783 | 7.8753 | 7.8822 | 7.9341 | 7.8797 | 7.8719 | | 8.9391 | 8.9337 | 8.9337 | 8.9326 | 8.9313 | 8.9328 | 8.9331 |
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