Research Article
Free Vibration Characteristics of Moderately Thick Spherical Shell with General Boundary Conditions Based on Ritz Method
Table 3
Comparison of the results for the annular spherical shell (m = 1).
| n | F–F | F–C | C–F | C–C | Present | Qu et al. [37] | Present | Qu et al. [37] | Present | Qu et al. [37] | Present | Qu et al. [37] |
| 0 | 0.86794 | 0.87054 | 0.81696 | 0.81661 | 0.40539 | 0.40549 | 0.98744 | 0.98710 | 1 | 0.86154 | 0.86412 | 0.60870 | 0.60880 | 0.15171 | 0.15170 | 1.02673 | 1.02639 | 2 | 0.05724 | 0.05726 | 0.34849 | 0.34857 | 0.07635 | 0.07636 | 1.00321 | 1.00292 | 3 | 0.15319 | 0.15323 | 0.65740 | 0.65733 | 0.15408 | 0.15412 | 0.99835 | 0.99803 | 4 | 0.27893 | 0.27900 | 0.96571 | 0.96537 | 0.27901 | 0.27908 | 1.04307 | 1.04274 | 5 | 0.42932 | 0.42940 | 1.11593 | 1.11557 | 0.42933 | 0.42941 | 1.12659 | 1.12623 | 6 | 0.60179 | 0.60188 | 1.24443 | 1.24402 | 0.60180 | 0.60189 | 1.24619 | 1.24578 | 7 | 0.79550 | 0.79559 | 1.40073 | 1.40026 | 0.79550 | 0.79559 | 1.40104 | 1.40056 | 8 | 1.01041 | 1.01048 | 1.58989 | 1.58934 | 1.01041 | 1.01048 | 1.58994 | 1.58939 | 9 | 1.24667 | 1.24672 | 1.81090 | 1.81026 | 1.24667 | 1.24672 | 1.81091 | 1.81027 |
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