Research Article
A Series Solution for the Vibration of Mindlin Rectangular Plates with Elastic Point Supports around the Edges
Table 2
Frequency parameters
for the square plate of case 1 with restraining stiffness,
, , for each point support.
| | , | Model sequence | | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| | 1.2972 | 2.5625 | 2.6799 | 3.4185 | 3.4185 | 5.9387 | 5.9387 | 6.1675 |
| | 1.2965 | 2.5340 | 2.6052 | 3.3997 | 3.3997 | 5.8960 | 5.8960 | 6.1669 |
| | 1.2919 | 2.5334 | 2.6040 | 3.3969 | 3.3969 | 5.8861 | 5.8861 | 6.1509 |
| | 1.2917 | 2.5164 | 2.5574 | 3.3860 | 3.3860 | 5.8612 | 5.8612 | 6.1305 |
| | 1.2899 | 2.5011 | 2.5562 | 3.3845 | 3.3845 | 5.8561 | 5.8561 | 6.1291 |
| | 1.2898 | 2.4948 | 2.4988 | 3.3767 | 3.3767 | 5.8271 | 5.8271 | 6.0942 |
| | 1.2891 | 2.4796 | 2.4978 | 3.3720 | 3.3720 | 5.8098 | 5.8098 | 6.0657 |
| | 1.2887 | 2.4795 | 2.4877 | 3.3680 | 3.3680 | 5.8096 | 5.8096 | 6.0471 |
| | 1.2887 | 2.4794 | 2.4877 | 3.3679 | 3.3679 | 5.8094 | 5.8094 | 6.0466 |
| | FEA | 1.2898 | 2.4551 | 2.4870 | 3.3610 | 3.3410 | 5.8060 | 5.8060 | 6.0210 |
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