Research Article
A Higher-Order Thermomechanical Vibration Analysis of Temperature-Dependent FGM Beams with Porosities
Table 2
Comparison of the nondimensional fundamental frequency for S-S FG beam with various gradient indexes.
| | Power-law exponent | | Present | Şimşek [8] |
Thai and Vo [2] | | Analytical | Lagrange’s equations | Analytical |
| | 5 | 5.1527478 | 5.15274 | 5.1527 | | 20 | 5.4603201 | 5.46030 | 5.4603 |
| | 5 | 4.8080746 | 4.80924 |
— | | 20 | 5.0815249 | 5.08286 | — |
| | 5 | 4.4106620 | 4.41108 | 4.4111 | | 20 | 4.6511086 | 4.65159 | 4.6516 |
| | 5 | 3.9904189 | 3.99042 | 3.9904 | | 20 | 4.2050549 | 4.20503 | 4.2050 |
| | 5 | 3.6264396 | 3.62643 | 3.6264 | | 20 | 3.8361340 | 3.83611 | 3.8361 |
| | 5 | 3.4012044 | 3.40120 | 3.4012 | | 20 | 3.6484863 | 3.64850 | 3.6485 |
| | 5 | 3.2816047 | 3.28160 | 3.2816 | | 20 | 3.5389891 | 3.53896 | 3.5390 |
| | Full metal | 5 | 2.66086 | 2.67732 | — | | 20 | 2.83602 | 2.83716 | — |
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