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Table 5 The first three linear frequency parameters of clamped FG SUS304/Si3N4 isosceles triangular plate

From: Linear and non-linear vibration analysis of moderately thick isosceles triangular FGPs using a triangular finite p-element

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