Research Article
Free Vibration Exploration of Rotating FGM Porosity Beams under Axial Load considering the Initial Geometrical Imperfection
Table 4
The dependence of the first three nondimensional frequencies
of the cantilever rotating beam on
.
| | Mode | Method | Rotational speed ratio | | = 0 | = 3 | = 6 | = 12 |
| | This work | 3.5161 | 4.6790 | 7.0734 | 12.6098 | | Exact [49] | 3.5160 | 4.7973 | 7.3604 | 13.1702 | | DMM [50] | 3.5160 | 4.7973 | 7.3604 | – | | Isogeometric [42] | 3.5118 | 4.7733 | 7.3276 | – | | This work | 22.0247 | 23.1197 | 26.1110 | 36.4500 | | Exact [49] | 22.0345 | 23.3203 | 26.8091 | 37.6031 | | DMM [50] | – | – | – | – | | Isogeometric [42] | – | – | – | – | | This work | 61.6254 | 62.7602 | 66.0242 | 77.4512 | | Exact [49] | 61.6972 | 62.9850 | 66.6840 | 79.6145 | | DMM [50] | – | – | – | – | | Isogeometric [42] | – | – | – | – | | This work | 120.647 | 121.843 | 125.348 | 138.295 | | Exact [49] | 120.902 | 122.236 | 126.140 | 140.534 | | DMM [50] | – | – | – | – | | Isogeometric [42] | – | – | – | – |
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