Research Article
Vibrations Evaluation of Functionally Graded Porous Beams in Thermal Surroundings by Generalized Differential Quadrature Method
Table 5
Comparison of the first nondimensional frequency for simply supported FG porous beam with various thermal loads and material power law index (
).
| | Thermal loads | Reference | () power law index | | 0 | 0.1 | 0.2 | 0.5 | 25 | 29 | 33 |
| | | 0 | | Ebrahimi | 6.303 | 5.558 | 5.072 | 4.278 | 3.727 | 3.331 | 3.014 | | Present | 6.301 | 5.556 | 5.071 | 4.276 | 3.726 | 3.330 | 3.014 | | Ebrahimi | 6.358 | 5.615 | 5.132 | 4.340 | 3.389 | 3.390 | 3.071 | | Present | 6.337 | 5.595 | 5.129 | 4.320 | 3.781 | 3.388 | 3.074 | | Ebrahimi | 6.358 | 5.616 | 5.134 | 4.343 | 3.792 | 3.394 | 3.074 | | Present | 6.346 | 5.609 | 5.131 | 4.341 | 3.791 | 3.393 | 3.073 |
| | 0.1 | | Ebrahimi | 6.889 | 5.911 | 5.308 | 4.369 | 3.744 | 3.308 | 2.968 | | Present | 6.880 | 5.907 | 5.303 | 4.366 | 3.741 | 3.306 | 2.966 | | Ebrahimi | 6.937 | 5.962 | 5.361 | 4.424 | 3.779 | 3.361 | 3.020 | | Present | 6.929 | 5.958 | 5.358 | 4.420 | 3.796 | 3.359 | 3.018 | | Ebrahimi | 6.937 | 5.963 | 5.363 | 4.427 | 3.803 | 3.365 | 3.022 | | Present | 6.930 | 5.957 | 5.359 | 4.423 | 3.799 | 3.362 | 3.021 | | 0.2 | | Ebrahimi | 7.824 | 6.418 | 5.627 | 4.478 | 3.758 | 3.274 | 2.908 | | Present | 7.821 | 6.416 | 5.625 | 4.477 | 3.757 | 3.274 | 2.908 | | Ebrahimi | 7.865 | 6.463 | 5.675 | 4.527 | 3.807 | 3.321 | 2.953 | | Present | 7.859 | 6.458 | 5.670 | 4.523 | 3.805 | 3.319 | 2.953 | | Ebrahimi | 7.894 | 6.464 | 5.676 | 4.530 | 3.810 | 3.324 | 2.955 | | Present | 7.884 | 6.458 | 5.670 | 4.525 | 3.797 | 3.321 | 2.953 |
| | | 0 | | Ebrahimi | 6.033 | 5.292 | 4.810 | 4.022 | 3.476 | 3.084 | 2.772 | | Present | 6.029 | 5.289 | 4.808 | 4.021 | 3.475 | 3.084 | 2.772 | | Ebrahimi | 6.213 | 5.480 | 5.002 | 4.218 | 3.671 | 3.276 | 2.959 | | Present | 6.207 | 5.475 | 4.994 | 4.213 | 3.667 | 3.273 | 2.957 | | Ebrahimi | 6.213 | 5.482 | 5.006 | 4.224 | 3.678 | 3.283 | 2.964 | | Present | 6.205 | 5.475 | 5.001 | 4.219 | 3.675 | 3.280 | 2.962 |
| | 0.1 | | Ebrahimi | 6.641 | 5.671 | 5.073 | 4.140 | 3.521 | 3.090 | 2.755 | | Present | 6.638 | 5.669 | 5.070 | 4.137 | 3.519 | 3.088 | 2.753 | | Ebrahimi | 6.801 | 5.838 | 5.243 | 4.314 | 3.695 | 3.260 | 2.920 | | Present | 6.792 | 5.830 | 5.236 | 4.308 | 3.689 | 3.256 | 2.917 | | Ebrahimi | 6.801 | 5.840 | 5.247 | 4.320 | 3.702 | 3.267 | 2.925 | | Present | 6.792 | 5.833 | 5.241 | 4.314 | 3.697 | 3.264 | 2.923 |
| | 0.2 | | Ebrahimi | 7.595 | 6.602 | 5.418 | 4.277 | 3.563 | 3.084 | 2.723 | | Present | 7.590 | 6.197 | 5.415 | 4.275 | 3.561 | 3.082 | 2.721 | | Ebrahimi | 7.736 | 6.349 | 5.568 | 4.430 | 3.715 | 3.232 | 2.867 | | Present | 7.728 | 6.334 | 5.564 | 4.426 | 3.711 | 3.229 | 2.865 | | Ebrahimi | 7.736 | 6.351 | 5.572 | 4.437 | 3.722 | 3.239 | 2.871 | | Present | 7.727 | 6.346 | 5.566 | 4.433 | 3.718 | 3.236 | 2.869 |
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