Research Article
FE-Meshfree QUAD4 Element with Modified Radial Point Interpolation Function for Structural Dynamic Analysis
Table 8
First 12 natural frequencies (×104 Hz) of a cantilever beam using irregular nodal distribution (50 × 5 elements).
| Method | | | | | | Reference (ABAQUS QUAD8) |
| FEM-QUAD4 | 0.0830 | 0.0831 | 0.0834 | 0.0835 | 0.0838 | 0.0822 | 0.4989 | 0.4992 | 0.5016 | 0.5019 | 0.5036 | 0.4931 | 1.2827 | 1.2827 | 1.2827 | 1.2827 | 1.2827 | 1.2823 | 1.3168 | 1.3176 | 1.3243 | 1.3245 | 1.3297 | 1.2990 | 2.3992 | 2.4007 | 2.4114 | 2.4139 | 2.4242 | 2.3607 | 3.6701 | 3.6725 | 3.6914 | 3.6963 | 3.7096 | 3.6002 | 3.8467 | 3.8468 | 3.8470 | 3.8470 | 3.8471 | 3.8442 | 5.0697 | 5.0728 | 5.0974 | 5.1059 | 5.1249 | 4.9566 | 6.4062 | 6.4063 | 6.4072 | 6.4072 | 6.4074 | 6.3897 | 6.5590 | 6.5643 | 6.5999 | 6.6089 | 6.6360 | 6.3972 | 8.1119 | 8.1186 | 8.1651 | 8.1733 | 8.2060 | 7.8719 | 8.9562 | 8.9565 | 8.9528 | 8.9585 | 8.9606 | 8.9331 |
| FE-Meshfree (QS, ) | 0.0823 | 0.0822 | 0.0822 | 0.0822 | 0.0822 | 0.0822 | 0.4937 | 0.4937 | 0.4936 | 0.4936 | 0.4936 | 0.4931 | 1.2826 | 1.2826 | 1.2825 | 1.2824 | 1.2822 | 1.2823 | 1.3010 | 1.3010 | 1.3008 | 1.3009 | 1.3010 | 1.2990 | 2.3655 | 2.3655 | 2.3655 | 2.3655 | 2.3661 | 2.3607 | 3.6094 | 3.6092 | 3.6098 | 3.6095 | 3.6113 | 3.6002 | 3.8450 | 3.8450 | 3.8445 | 3.8444 | 3.8441 | 3.8442 | 4.9716 | 4.9715 | 4.9722 | 4.9728 | 4.9755 | 4.9566 | 6.3984 | 6.3984 | 6.3978 | 6.3974 | 6.3966 | 6.3897 | 6.4116 | 6.4114 | 6.4126 | 6.4142 | 6.4179 | 6.3972 | 7.9019 | 7.9017 | 7.9043 | 7.9039 | 7.9110 | 7.8719 | 8.9347 | 8.9346 | 8.9337 | 8.9333 | 8.9331 | 8.9331 |
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