Table 7 The first three linear frequency parameters of clamped FG AL/ZrO2 isosceles triangular plate
β | h/b | Mode | n | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
ceramic | 0.1 | 0.5 | 1 | 2 | 5 | 10 | metal | |||
30° | 0.05 | ΩL1 | 3.0021 | 2.9572 | 2.8416 | 2.7888 | 2.7883 | 2.8317 | 2.8112 | 2.5773 |
ΩL2 | 4.6942 | 4.6257 | 4.4505 | 4.3711 | 4.3692 | 4.4266 | 4.3896 | 4.0299 | ||
ΩL3 | 6.3787 | 6.2869 | 6.0482 | 5.9351 | 5.9251 | 5.9981 | 5.9503 | 5.4760 | ||
0.1 | ΩL1 | 5.3989 | 5.3268 | 5.1359 | 5.0398 | 5.0174 | 5.0496 | 5.0015 | 4.6348 | |
ΩL2 | 8.1325 | 8.0301 | 7.7590 | 7.6194 | 7.5751 | 7.5901 | 7.5050 | 6.9816 | ||
ΩL3 | 10.735 | 10.604 | 10.250 | 10.056 | 9.9768 | 9.9757 | 9.8654 | 9.2158 | ||
0.15 | ΩL1 | 7.0850 | 7.0016 | 6.7739 | 6.6473 | 6.5896 | 6.5742 | 6.4964 | 6.0823 | |
ΩL2 | 10.320 | 10.207 | 9.8999 | 9.7224 | 9.6219 | 9.5516 | 9.4211 | 8.8596 | ||
ΩL3 | 13.300 | 13.161 | 12.769 | 12.526 | 12.368 | 12.251 | 12.086 | 11.418 | ||
60° | 0.05 | ΩL1 | 5.3502 | 5.2734 | 5.0781 | 4.9894 | 4.9857 | 5.0425 | 4.9975 | 4.5931 |
ΩL2 | 9.7566 | 9.6227 | 9.2739 | 9.1052 | 9.0780 | 9.1532 | 9.0675 | 8.3758 | ||
ΩL3 | 9.7566 | 9.6232 | 9.2816 | 9.1224 | 9.0985 | 9.1668 | 9.0741 | 8.3758 | ||
0.1 | ΩL1 | 9.0573 | 8.9471 | 8.6541 | 8.4990 | 8.4407 | 8.4359 | 8.3353 | 7.7755 | |
ΩL2 | 15.415 | 15.244 | 14.774 | 14.500 | 14.358 | 14.268 | 14.081 | 13.233 | ||
ΩL3 | 15.415 | 15.244 | 14.777 | 14.509 | 14.362 | 14.270 | 14.082 | 13.233 | ||
0.15 | ΩL1 | 11.283 | 11.165 | 10.838 | 10.642 | 10.517 | 10.414 | 10.266 | 9.6865 | |
ΩL2 | 18.297 | 18.125 | 17.627 | 17.299 | 17.040 | 16.784 | 16.532 | 15.707 | ||
ΩL3 | 18.297 | 18.125 | 17.632 | 17.310 | 17.056 | 16.797 | 16.538 | 15.707 | ||
90° | 0.05 | ΩL1 | 9.5715 | 9.4422 | 9.1085 | 8.9487 | 8.9212 | 8.9816 | 8.8897 | 8.2169 |
ΩL2 | 15.196 | 15.003 | 14.502 | 14.254 | 14.185 | 14.215 | 14.050 | 13.045 | ||
ΩL3 | 18.269 | 18.040 | 17.419 | 17.086 | 16.970 | 17.004 | 16.829 | 15.684 | ||
0.1 | ΩL1 | 14.892 | 14.732 | 14.291 | 14.033 | 13.882 | 13.769 | 13.580 | 12.785 | |
ΩL2 | 22.158 | 21.938 | 21.319 | 20.930 | 20.650 | 20.390 | 20.091 | 19.022 | ||
ΩL3 | 25.992 | 25.741 | 25.014 | 24.537 | 24.177 | 23.847 | 23.505 | 22.313 | ||
0.15 | ΩL1 | 17.500 | 17.340 | 16.880 | 16.571 | 16.314 | 16.039 | 15.785 | 15.023 | |
ΩL2 | 25.157 | 24.943 | 24.305 | 23.848 | 23.428 | 22.966 | 22.596 | 21.596 | ||
ΩL3 | 29.123 | 28.883 | 28.152 | 27.614 | 27.104 | 26.542 | 26.113 | 25.002 | ||