Table 5 The first three linear frequency parameters of clamped FG SUS304/Si3N4 isosceles triangular plate
β | h/b | Mode | n | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
ceramic | 0.1 | 0.5 | 1 | 2 | 5 | 10 | metal | |||
30° | 0.05 | ΩL1 | 5.8366 | 5.1789 | 4.0506 | 3.5610 | 3.2026 | 2.9134 | 2.7785 | 2.5747 |
ΩL2 | 9.1371 | 8.1064 | 6.3395 | 5.5721 | 5.0090 | 4.5535 | 4.3414 | 4.0244 | ||
ΩL3 | 12.427 | 11.024 | 8.6199 | 7.5746 | 6.8066 | 6.1846 | 5.8959 | 5.4669 | ||
0.1 | ΩL1 | 10.564 | 9.3705 | 7.3225 | 6.4269 | 5.7626 | 5.2220 | 4.9759 | 4.6207 | |
ΩL2 | 15.956 | 14.149 | 11.053 | 9.6966 | 8.6850 | 7.8582 | 7.4845 | 6.9544 | ||
ΩL3 | 21.102 | 18.708 | 14.609 | 12.811 | 11.465 | 10.363 | 9.8682 | 9.1743 | ||
0.15 | ΩL1 | 13.954 | 12.374 | 9.6609 | 8.4647 | 7.5657 | 6.8293 | 6.5019 | 6.0512 | |
ΩL2 | 20.390 | 18.075 | 14.106 | 12.353 | 11.028 | 9.9374 | 9.4558 | 8.8055 | ||
ΩL3 | 26.332 | 23.336 | 18.2050 | 15.934 | 14.212 | 12.793 | 12.170 | 11.341 | ||
60° | 0.05 | ΩL1 | 10.423 | 9.2477 | 7.2314 | 6.3544 | 5.7096 | 5.1871 | 4.9454 | 4.5855 |
ΩL2 | 19.056 | 16.902 | 13.210 | 11.601 | 10.413 | 9.4482 | 9.0049 | 8.3552 | ||
ΩL3 | 19.056 | 16.902 | 13.211 | 11.603 | 10.415 | 9.4492 | 9.0053 | 8.3552 | ||
0.1 | ΩL1 | 17.805 | 15.790 | 12.331 | 10.810 | 9.6719 | 8.7402 | 8.3229 | 7.7404 | |
ΩL2 | 30.433 | 26.975 | 21.052 | 18.440 | 16.469 | 14.849 | 14.131 | 13.156 | ||
ΩL3 | 30.433 | 26.975 | 21.053 | 18.441 | 16.470 | 14.850 | 14.132 | 13.156 | ||
0.15 | ΩL1 | 22.345 | 19.812 | 15.456 | 13.522 | 12.053 | 10.845 | 10.318 | 9.6205 | |
ΩL2 | 36.377 | 32.233 | 25.130 | 21.971 | 19.558 | 17.564 | 16.700 | 15.581 | ||
ΩL3 | 36.377 | 32.234 | 25.132 | 21.975 | 19.562 | 17.566 | 16.701 | 15.581 | ||
90° | 0.05 | ΩL1 | 18.711 | 16.598 | 12.972 | 11.388 | 10.216 | 9.2627 | 8.8272 | 8.1943 |
ΩL2 | 29.792 | 26.422 | 20.641 | 18.112 | 16.227 | 14.689 | 13.992 | 12.998 | ||
ΩL3 | 35.858 | 31.808 | 24.843 | 21.792 | 19.508 | 17.650 | 16.8101 | 15.621 | ||
0.1 | ΩL1 | 29.448 | 26.111 | 20.374 | 17.831 | 15.906 | 14.324 | 13.631 | 12.704 | |
ΩL2 | 43.964 | 38.964 | 30.385 | 26.577 | 23.679 | 21.289 | 20.248 | 18.882 | ||
ΩL3 | 51.630 | 45.755 | 35.676 | 31.196 | 27.781 | 24.961 | 23.736 | 22.141 | ||
0.15 | ΩL1 | 34.858 | 30.906 | 24.089 | 21.036 | 18.693 | 16.762 | 15.937 | 14.894 | |
ΩL2 | 50.223 | 44.496 | 34.666 | 30.273 | 26.895 | 24.098 | 22.903 | 21.397 | ||
ΩL3 | 58.180 | 51.535 | 40.150 | 35.064 | 31.148 | 27.898 | 26.509 | 24.766 | ||