Research Article
FE-Meshfree QUAD4 Element with Modified Radial Point Interpolation Function for Structural Dynamic Analysis
Table 5
Natural frequencies (×104 Hz) of a cantilever beam for 40 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) |
| | (20 × 2) 40 | 63 | 0.0872 | 0.0824 | 0.0825 | 0.0875 | 0.0981 | 0.0849 | 0.0822 | | 0.5263 | 0.4981 | 0.4986 | 0.5249 | 0.5821 | 0.5112 | 0.4931 | | 1.2837 | 1.2834 | 1.2834 | 1.2836 | 1.2839 | 1.2831 | 1.2823 | | 1.4010 | 1.3233 | 1.3255 | 1.3826 | 1.5161 | 1.3523 | 1.2990 | | 2.5816 | 2.4265 | 2.4325 | 2.5107 | 2.7232 | 2.4680 | 2.3607 | | 3.8573 | 3.7297 | 3.7423 | 3.8232 | 3.8472 | 3.7767 | 3.6002 | | 4.0002 | 3.8469 | 3.8472 | 3.8453 | 4.1064 | 3.8463 | 3.8442 | | 5.6040 | 5.1688 | 5.1903 | 5.2518 | 5.5903 | 5.2123 | 4.9566 | | 6.4492 | 6.3995 | 6.4018 | 6.3901 | 6.3954 | 6.3995 | 6.3897 | | 7.3601 | 6.7004 | 6.7325 | 6.7524 | 7.1240 | 6.7308 | 6.3972 | | 9.0702 | 8.2958 | 8.3397 | 8.2973 | 8.6741 | 8.3043 | 7.8719 | | 9.2470 | 8.9314 | 8.9379 | 8.9054 | 8.9147 | 8.9338 | 8.9331 |
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