Research Article
A General Fourier Formulation for In-Plane and Out-of-Plane Vibration Analysis of Curved Beams
Table 5
Comparison of the first 10 natural frequencies of the whirl line structure under different boundary conditions.
| C-C | S-S | F-F | Present | FEM | Present | FEM | Present | FEM |
| 40.92 | 40.96 | 64.33 | 64.35 | 41.08 | 41.07 | 103.30 | 103.42 | 64.72 | 64.74 | 102.53 | 102.48 | 113.48 | 113.57 | 154.71 | 154.66 | 113.87 | 113.80 | 203.32 | 203.43 | 156.14 | 156.11 | 196.50 | 196.07 | 223.52 | 223.70 | 269.98 | 269.05 | 224.28 | 224.08 | 342.96 | 342.58 | 282.16 | 281.96 | 296.28 | 294.31 | 369.75 | 370.03 | 327.97 | 325.70 | 371.09 | 370.68 | 433.83 | 431.14 | 417.69 | 415.30 | 381.33 | 380.44 | 551.76 | 552.23 | 459.99 | 459.56 | 553.99 | 553.27 | 566.68 | 566.36 | 484.76 | 482.45 | 556.02 | 555.24 |
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