Research Article
An Improved Analytical Method for Vibration Analysis of Variable Section Beam
Table 6
Comparison of results from ADTM and the semianalytical method in the trapezoid beam case.
| | ADTM (n = 10) | Semianalytical method | Segments | ω1 (rad/s) | ω2 (rad/s) | ω3 (rad/s) | ω1 (rad/s) | ω2 (rad/s) | ω3 (rad/s) |
| p = 2 | 101.8150 | 533.3786 | 1415.5773 | 94.4962 | 496.5471 | 1373.9867 | p = 3 | 101.8162 | 533.3827 | 1415.5901 | 98.4109 | 514.6177 | 1370.6740 | p = 4 | 101.8162 | 533.3828 | 1415.5902 | 99.8686 | 522.2463 | 1387.4444 |
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