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,
.
| | 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 |
|
|