Research Article
Free In-Plane Vibration Analysis of Circular, Annular, and Sector Plates Using Isogeometric Approach
Table 2
Comparison of frequency parameters
for annular sector plates with various boundaries and inner-to-outer radii ratios:
.
| (°) | Mode | CCCC | CFCF | FFFF | CCCF | Ref. [23] | Ref. [25] | Present | Ref. [23] | Ref. [25] | Present | Ref. [25] | Present | Ref. [25] | Present |
| 30 | 1 | 8.1592 | 8.1500 | 8.1527 | 3.4489 | 3.4788 | 3.4774 | 4.8589 | 4.8777 | 5.3157 | 5.3112 | 2 | 8.8379 | 8.8085 | 8.8122 | 6.2770 | 6.2179 | 6.2184 | 5.6760 | 5.6938 | 6.8500 | 6.8399 | 3 | 10.1089 | 10.2116 | 10.2138 | 6.4037 | 6.4445 | 6.4441 | 5.7026 | 5.7199 | 7.4560 | 7.5122 | 4 | 12.7648 | 12.7775 | 12.7822 | 8.3676 | 8.3194 | 8.3189 | 6.1162 | 6.1370 | 10.2296 | 10.2655 | 5 | 13.2623 | 13.3090 | 13.3143 | 8.3358 | 8.4499 | 8.4478 | 7.6716 | 7.6990 | 10.7897 | 10.8673 | 6 | 13.2555 | 13.3195 | 13.3225 | 9.4104 | 9.4264 | 9.4264 | 8.5692 | 8.6995 | 11.5209 | 11.5250 |
| 90 | 1 | 4.7576 | 4.7508 | 4.7516 | 3.7834 | 3.8017 | 3.7986 | 1.5633 | 1.5641 | 4.0055 | 4.0121 | 2 | 6.3458 | 6.3216 | 6.3233 | 4.4797 | 4.4676 | 4.4636 | 2.6785 | 2.6702 | 5.4346 | 5.3987 | 3 | 6.9512 | 6.8564 | 6.8582 | 6.0711 | 5.9866 | 5.9864 | 2.9795 | 2.9792 | 6.5046 | 6.4447 | 4 | 6.9793 | 6.8921 | 6.8937 | 6.5393 | 6.5032 | 6.4992 | 4.4513 | 4.4293 | 6.6321 | 6.5915 | 5 | 7.5749 | 7.5573 | 7.5588 | 6.5952 | 6.5497 | 6.5504 | 4.4627 | 4.4754 | 7.0237 | 6.9826 | 6 | 8.0831 | 8.0973 | 8.0983 | 6.7786 | 6.7742 | 6.7739 | 4.6668 | 4.6575 | 7.3563 | 7.3541 |
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