Research Article
Analysis of Laminated Shells by Murakami’s Zig-Zag Theory and Radial Basis Functions Collocation
Table 4
Nondimensionalized fundamental frequencies of cross-ply cylindrical shells,
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| | Method | [0/90/0] | | [0/90/90/0] | | | | | |
| | 5 | Present () | 20.4956 | 11.7774 | 20.5298 | 11.8524 | | Present () | 20.4839 | 11.7770 | 20.5201 | 11.8521 | | Present () | 20.4829 | 11.7770 | 20.5189 | 11.8521 | | FSDT [56] | 20.332 | 12.207 | 20.361 | 12.267 | | HSDT [56] | 20.330 | 11.850 | 20.360 | 11.830 |
| | 10 | Present () | 16.8475 | 11.7672 | 16.8583 | 11.8382 | | Present () | 16.8409 | 11.7669 | 16.8522 | 11.8380 | | Present () | 16.8401 | 11.7669 | 16.8516 | 11.8380 | | FSDT [56] | 16.625 | 12.173 | 16.634 | 12.236 | | HSDT [56] | 16.620 | 11.800 | 16.630 | 11.790 |
| | 20 | Present () | 15.8006 | 11.7646 | 15.8039 | 11.8346 | | Present () | 15.7955 | 11.7644 | 15.7990 | 11.8344 | | Present () | 15.7950 | 11.7644 | 15.7985 | 11.8344 | | FSDT [56] | 15.556 | 12.166 | 15.559 | 12.230 | | HSDT [56] | 15.55 | 11.79 | 15.55 | 11.78 |
| | 50 | Present () | 15.4945 | 11.7639 | 15.4955 | 11.8336 | | Present () | 15.4899 | 11.7637 | 15.4909 | 11.8334 | | Present () | 15.4895 | 11.7637 | 15.4905 | 11.8334 | | FSDT [56] | 15.244 | 12.163 | 15.245 | 12.228 | | HSDT [56] | 15.24 | 11.79 | 15.23 | 11.78 |
| | 100 | Present () | 15.4503 | 11.7638 | 15.4510 | 11.8335 | | Present () | 15.4457 | 11.7636 | 15.4464 | 11.8333 | | Present () | 15.4453 | 11.7636 | 15.4460 | 11.8333 | | FSDT [56] | 15.198 | 12.163 | 15.199 | 12.227 | | HSDT [56] | 15.19 | 11.79 | 15.19 | 11.78 |
| | Plate | Present () | 15.4355 | 11.7638 | 15.4361 | 11.8335 | | Present () | 15.4310 | 11.7635 | 15.4316 | 11.8332 | | Present () | 15.4306 | 11.7635 | 15.4311 | 11.8332 | | FSDT [56] | 15.183 | 12.162 | 15.184 | 12.226 | | HSDT [56] | 15.170 | 11.790 | 15.170 | 11.780 |
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