Research Article
An Improved Analytical Method for Vibration Analysis of Variable Section Beam
Table 5
Comparison of results from ADTM and ADM in the trapezoid beam case.
| | ADM (k = 26) | ADTM (p = 3, k1 = 10, k2 = 10, k3 = 11) | Order of iteration | ω1 (rad/s) | ω2 (rad/s) | ω3 (rad/s) | ω1 (rad/s) | ω2 (rad/s) | ω3 (rad/s) |
| n = 5 | 101.1324 | 536.5036 | 1598.5717 | 101.8157 | 533.3674 | 1415.5740 | n = 6 | 101.6175 | 534.5213 | 1497.6120 | 101.8161 | 533.3827 | 1415.5901 | n = 7 | 101.7673 | 533.6933 | 1424.1163 | 101.8162 | 533.3844 | 1415.5919 | n = 8 | 101.8057 | 533.4538 | 1416.5559 | 101.8162 | 533.3846 | 1415.5921 | n = 9 | 101.8142 | 533.3980 | 1415.6736 | 101.8162 | 533.3846 | 1415.5921 | n = 10 | 101.8159 | 533.3869 | 1415.5946 | 101.8162 | 533.3846 | 1415.5921 |
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