Research Article
Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading
Table 1
The first six natural frequency coefficients
for a C-C-F-F plate under general in-plane loading.
| ā | | ā | 0 | 0.25 | 0.5 | 0.75 | 1 |
| ; |
| | 5.39789 | 4.75442 | 3.95041 | 2.84503 | 0 | | 15.7547 | 15.2037 | 14.5835 | 13.8967 | 13.1443 | | 23.8207 | 23.9071 | 24.0071 | 24.1145 | 24.2241 | | 36.3999 | 36.2826 | 36.1113 | 35.7654 | 35.1888 | | 38.1446 | 37.5193 | 36.9334 | 36.5072 | 36.2961 | | 59.7605 | 59.5098 | 59.2367 | 58.9439 | 58.6327 |
| ; |
| | 6.93254 | 6.06065 | 4.99441 | 3.56413 | 0 | | 23.9780 | 23.9778 | 23.6766 | 23.0314 | 22.1751 | | 26.6265 | 26.0033 | 25.6318 | 25.5511 | 25.6238 | | 47.7179 | 47.4465 | 47.1607 | 46.8601 | 46.5440 | | 62.8830 | 62.6774 | 62.3443 | 61.9069 | 61.3970 | | 65.6818 | 65.4396 | 65.3185 | 65.2954 | 65.3384 |
| ; |
| | 17.1515 | 14.9296 | 12.2458 | 8.69504 | 0 | | 36.4410 | 36.0647 | 35.6415 | 35.1668 | 34.6357 | | 73.5943 | 73.8555 | 74.0906 | 74.2962 | 74.4680 | | 91.1002 | 89.5702 | 88.0081 | 86.4144 | 84.7901 | | 115.363 | 114.262 | 113.147 | 112.021 | 110.886 | | 131.962 | 132.267 | 132.566 | 132.855 | 133.130 |
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