Analysis of natural frequency convergence of the rotary composite laminated plate and conical–cylindrical double cavities coupled system
| Mc × Nc × Qc | Mp × Np | Mode number | |||||||
|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||
| 3 × 3 × 3 | 5 × 5 | 87.003 | 107.550 | 113.281 | 142.834 | 169.711 | 173.100 | 203.250 | 206.832 |
| 6 × 6 | 87.003 | 107.549 | 113.280 | 142.833 | 169.710 | 173.098 | 203.250 | 206.827 | |
| 7 × 7 | 87.002 | 107.549 | 113.280 | 142.831 | 169.710 | 173.097 | 203.250 | 206.826 | |
| 8 × 8 | 87.002 | 107.549 | 113.279 | 142.830 | 169.710 | 173.097 | 203.249 | 206.826 | |
| 9 × 9 | 87.002 | 107.549 | 113.279 | 142.830 | 169.711 | 173.097 | 203.248 | 206.823 | |
| 10 × 10 | 87.002 | 107.549 | 113.279 | 142.829 | 169.711 | 173.096 | 203.249 | 206.826 | |
| 4 × 4 × 4 | 5 × 5 | 87.002 | 107.549 | 113.279 | 142.829 | 169.704 | 173.096 | 203.249 | 206.822 |
| 6 × 6 | 87.002 | 107.549 | 113.280 | 142.833 | 169.705 | 173.098 | 203.249 | 206.827 | |
| 7 × 7 | 87.002 | 107.549 | 113.280 | 142.831 | 169.705 | 173.097 | 203.249 | 206.825 | |
| 8 × 8 | 87.002 | 107.549 | 113.279 | 142.830 | 169.704 | 173.097 | 203.249 | 206.824 | |
| 9 × 9 | 87.002 | 107.549 | 113.279 | 142.830 | 169.704 | 173.096 | 203.249 | 206.822 | |
| 10 × 10 | 87.002 | 107.549 | 113.279 | 142.829 | 169.704 | 173.096 | 203.249 | 206.822 | |
| 5 × 5 × 5 | 5 × 5 | 87.003 | 107.549 | 113.282 | 142.834 | 169.690 | 173.100 | 203.247 | 206.832 |
| 6 × 6 | 87.003 | 107.549 | 113.280 | 142.833 | 169.688 | 173.098 | 203.247 | 206.827 | |
| 7 × 7 | 87.002 | 107.549 | 113.279 | 142.832 | 169.684 | 173.099 | 203.247 | 206.825 | |
| 8 × 8 | 87.002 | 107.549 | 113.279 | 142.830 | 169.689 | 173.097 | 203.247 | 206.830 | |
| 9 × 9 | 87.002 | 107.548 | 113.279 | 142.830 | 169.689 | 173.096 | 203.247 | 206.822 | |
| 10 × 10 | 87.002 | 107.548 | 113.279 | 142.829 | 169.688 | 173.096 | 203.247 | 206.822 | |
| FEM | 87.021 | 107.520 | 113.320 | 142.900 | 169.610 | 173.110 | 203.100 | 206.870 | |
| Mode number | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||
| 3 × 3 × 3 | 5 × 5 | 87.003 | 107.550 | 113.281 | 142.834 | 169.711 | 173.100 | 203.250 | 206.832 |
| 6 × 6 | 87.003 | 107.549 | 113.280 | 142.833 | 169.710 | 173.098 | 203.250 | 206.827 | |
| 7 × 7 | 87.002 | 107.549 | 113.280 | 142.831 | 169.710 | 173.097 | 203.250 | 206.826 | |
| 8 × 8 | 87.002 | 107.549 | 113.279 | 142.830 | 169.710 | 173.097 | 203.249 | 206.826 | |
| 9 × 9 | 87.002 | 107.549 | 113.279 | 142.830 | 169.711 | 173.097 | 203.248 | 206.823 | |
| 10 × 10 | 87.002 | 107.549 | 113.279 | 142.829 | 169.711 | 173.096 | 203.249 | 206.826 | |
| 4 × 4 × 4 | 5 × 5 | 87.002 | 107.549 | 113.279 | 142.829 | 169.704 | 173.096 | 203.249 | 206.822 |
| 6 × 6 | 87.002 | 107.549 | 113.280 | 142.833 | 169.705 | 173.098 | 203.249 | 206.827 | |
| 7 × 7 | 87.002 | 107.549 | 113.280 | 142.831 | 169.705 | 173.097 | 203.249 | 206.825 | |
| 8 × 8 | 87.002 | 107.549 | 113.279 | 142.830 | 169.704 | 173.097 | 203.249 | 206.824 | |
| 9 × 9 | 87.002 | 107.549 | 113.279 | 142.830 | 169.704 | 173.096 | 203.249 | 206.822 | |
| 10 × 10 | 87.002 | 107.549 | 113.279 | 142.829 | 169.704 | 173.096 | 203.249 | 206.822 | |
| 5 × 5 × 5 | 5 × 5 | 87.003 | 107.549 | 113.282 | 142.834 | 169.690 | 173.100 | 203.247 | 206.832 |
| 6 × 6 | 87.003 | 107.549 | 113.280 | 142.833 | 169.688 | 173.098 | 203.247 | 206.827 | |
| 7 × 7 | 87.002 | 107.549 | 113.279 | 142.832 | 169.684 | 173.099 | 203.247 | 206.825 | |
| 8 × 8 | 87.002 | 107.549 | 113.279 | 142.830 | 169.689 | 173.097 | 203.247 | 206.830 | |
| 9 × 9 | 87.002 | 107.548 | 113.279 | 142.830 | 169.689 | 173.096 | 203.247 | 206.822 | |
| 10 × 10 | 87.002 | 107.548 | 113.279 | 142.829 | 169.688 | 173.096 | 203.247 | 206.822 | |
| FEM | 87.021 | 107.520 | 113.320 | 142.900 | 169.610 | 173.110 | 203.100 | 206.870 | |
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