Table 4 The first three linear frequency parameters of clamped FG AL/AL2O3 isosceles triangular plate
β | h/b | Mode | n | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
ceramic | 0.1 | 0.5 | 1 | 2 | 5 | 10 | metal | |||
30° | 0.05 | ΩL1 | 5.0681 | 4.8827 | 4.3399 | 3.9585 | 3.6367 | 3.4112 | 3.2521 | 2.5773 |
ΩL2 | 7.9247 | 7.6385 | 6.8050 | 6.2214 | 5.7244 | 5.3517 | 5.0840 | 4.0300 | ||
ΩL3 | 10.768 | 10.382 | 9.2453 | 8.4385 | 7.7440 | 7.2297 | 6.8741 | 5.4761 | ||
0.1 | ΩL1 | 9.1144 | 8.7992 | 7.8656 | 7.1908 | 6.5871 | 6.0926 | 5.7606 | 4.6349 | |
ΩL2 | 13.729 | 13.267 | 11.904 | 10.916 | 10.009 | 9.1978 | 8.6491 | 6.9818 | ||
ΩL3 | 18.122 | 17.522 | 15.727 | 14.401 | 13.158 | 12.049 | 11.330 | 9.2160 | ||
0.15 | ΩL1 | 11.960 | 11.571 | 10.404 | 9.5364 | 8.7114 | 7.9458 | 7.4521 | 6.0824 | |
ΩL2 | 17.422 | 16.873 | 15.237 | 14.013 | 12.812 | 11.599 | 10.814 | 8.8598 | ||
ΩL3 | 22.452 | 21.759 | 19.656 | 18.046 | 16.436 | 14.823 | 13.822 | 11.418 | ||
60° | 0.05 | ΩL1 | 9.0322 | 8.7089 | 7.7700 | 7.1137 | 6.5499 | 6.1081 | 5.7894 | 4.5931 |
ΩL2 | 16.471 | 15.893 | 14.197 | 12.987 | 11.922 | 11.066 | 10.472 | 8.3760 | ||
ΩL3 | 16.471 | 15.895 | 14.220 | 13.039 | 11.998 | 11.121 | 10.501 | 8.3760 | ||
0.1 | ΩL1 | 15.290 | 14.785 | 13.290 | 12.200 | 11.179 | 10.225 | 9.5914 | 7.7757 | |
ΩL2 | 26.023 | 25.197 | 22.727 | 20.880 | 19.081 | 17.304 | 16.159 | 13.233 | ||
ΩL3 | 26.023 | 25.197 | 22.734 | 20.895 | 19.098 | 17.307 | 16.159 | 13.233 | ||
0.15 | ΩL1 | 19.048 | 18.460 | 16.696 | 15.361 | 14.020 | 12.629 | 11.751 | 9.6867 | |
ΩL2 | 30.889 | 29.973 | 27.193 | 25.036 | 22.785 | 20.357 | 18.876 | 15.708 | ||
ΩL3 | 30.889 | 29.974 | 27.208 | 25.070 | 22.840 | 20.408 | 18.904 | 15.708 | ||
90° | 0.05 | ΩL1 | 16.158 | 15.597 | 13.957 | 12.793 | 11.760 | 10.885 | 10.273 | 8.2171 |
ΩL2 | 25.654 | 24.788 | 22.260 | 20.454 | 18.802 | 17.278 | 16.227 | 13.046 | ||
ΩL3 | 30.842 | 29.806 | 26.705 | 24.420 | 22.326 | 20.519 | 19.338 | 15.684 | ||
0.1 | ΩL1 | 25.141 | 24.354 | 22.002 | 20.236 | 18.487 | 16.701 | 15.561 | 12.785 | |
ΩL2 | 37.407 | 36.275 | 32.868 | 30.265 | 27.597 | 24.749 | 22.981 | 19.022 | ||
ΩL3 | 43.879 | 42.565 | 38.556 | 35.441 | 32.237 | 28.877 | 26.830 | 22.314 | ||
0.15 | ΩL1 | 29.543 | 28.682 | 26.067 | 24.026 | 21.861 | 19.453 | 17.991 | 15.023 | |
ΩL2 | 42.470 | 41.260 | 37.557 | 34.620 | 31.440 | 27.861 | 25.732 | 21.597 | ||
ΩL3 | 49.166 | 47.778 | 43.507 | 40.090 | 36.371 | 32.198 | 29.726 | 25.002 | ||