Research Article
Development of a New Cracked Mindlin Plate Element
Table 5
Example 2: comparison of the influence of crack length on the ratios of the first four natural frequencies () of the simply supported plate.
| | Mode | 2a/H | Stahl and Keer [17] | Solecki [18] | Guan-liang et al. [5] | Krawczuk et al. [8] | Present results |
| | 1st | 0.05 | 0.9970 | 0.9970 | 0.9975 | 0.9971 | 0.9991 | | 0.10 | 0.9940 | 0.9940 | 0.9950 | 0.9942 | 0.9981 | | 0.15 | 0.9860 | 0.9855 | 0.9885 | 0.9874 | 0.9933 | | 0.20 | 0.9780 | 0.9775 | 0.9820 | 0.9806 | 0.9931 |
| | 2nd | 0.05 | 0.9999 | 0.9999 | 0.9999 | 1.0000 | 1.0000 | | 0.10 | 0.9996 | 0.9998 | 0.9999 | 1.0000 | 1.0000 | | 0.15 | 0.9980 | 0.9982 | 0.9989 | 0.9980 | 0.9990 | | 0.20 | 0.9980 | 0.9966 | 0.9980 | 0.9970 | 0.9982 |
| | 3rd | 0.05 | 1.0000 | — | — | 1.0000 | 1.0000 | | 0.10 | 1.0000 | — | — | 1.0000 | 1.0000 | | 0.15 | 0.9999 | — | — | 0.9999 | 1.0000 | | 0.20 | 0.9996 | — | — | 0.9998 | 0.9999 |
| | 4th | 0.05 | — | — | — | — | 1.0000 | | 0.10 | — | — | — | — | 1.0000 | | 0.15 | — | — | — | — | 1.0000 | | 0.20 | — | — | — | — | 0.9999 |
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