Research Article
Free Vibration Analysis of Rotating Pretwisted Functionally Graded Sandwich Blades
Table 1
Convergence of nondimensional frequency parameters for the first six modes of the homogeneous material blade (
, , and
).
| | Mode | ANSYS | 5 × 5 × 5 | 5 × 6 × 6 | 5 × 7 × 7 | 5 × 8 × 8 | 5 × 9 × 9 | | Value | Error | Value | Error | Value | Error | Value | Error | Value | Error |
| | 1st | 3.4225 | 3.4217 | −0.02% | 3.4102 | −0.36% | 3.4077 | −0.43% | 3.4194 | −0.09% | 3.4124 | −0.30% | | 2nd | 20.7177 | 20.7606 | 0.21% | 20.7156 | −0.01% | 20.7222 | 0.02% | 20.7540 | 0.18% | 20.7270 | 0.04% | | 3rd | 21.9608 | 22.2650 | 1.39% | 21.9718 | 0.05% | 22.1278 | 0.76% | 22.0861 | 0.57% | 22.0340 | 0.33% | | 4th | 58.8524 | 59.6322 | 1.33% | 54.3477 | −7.65% | 58.1334 | −1.22% | 58.1917 | −1.12% | 58.0295 | −1.40% | | 5th | 64.5829 | 66.5017 | 2.97% | 64.0481 | −0.83% | 65.6567 | 1.66% | 65.4872 | 1.40% | 65.6406 | 1.64% | | 6th | 68.0114 | 68.9640 | 1.40% | 68.1982 | 0.27% | 68.6168 | 0.89% | 68.4144 | 0.59% | 68.3678 | 0.52% |
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