Research Article
On the Vibration Analysis of Rotating Piezoelectric Functionally Graded Beams Resting on Elastic Foundation with a Higher-Order Theory
Table 3
The first four nondimensional fundamental frequencies (
) of the C-F rotating beam.
| | Vibration mode | Source | Speed | | | | |
| | Present work | 3.4787 | 4.7538 | 7.3104 | 13.1661 | | Exact [61] | 3.5160 | 4.7973 | 7.3604 | 13.1702 | | DMM [62] | 3.5160 | 4.7973 | 7.3604 | — | | Isogeometric [22] | 3.5118 | 4.7733 | 7.3276 | — | | Present work | 22.1083 | 23.3811 | 26.8126 | 37.5336 | | Exact [61] | 22.0345 | 23.3203 | 26.8091 | 37.6031 | | DMM [62] | — | — | — | — | | Isogeometric [22] | — | — | — | — | | Present work | 62.2026 | 63.4748 | 67.1399 | 79.9519 | | Exact [61] | 61.6972 | 62.9850 | 66.6840 | 79.6145 | | DMM [62] | — | — | — | — | | Isogeometric [22] | — | — | — | — | | Present work | 123.037 | 124.361 | 128.234 | 142.523 | | Exact [61] | 120.902 | 122.236 | 126.140 | 140.534 | | DMM [62] | — | — | — | — | | Isogeometric [22] | — | — | — | — |
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