Research Article
Structural Damping Effects on Dynamic Instability of Subtangentially Loaded and Shear Deformable Beck’s Columns
Table 8
Dimensionless frequencies of Beck’s columns around damped flutter loads with an increase of
for
.
| Damping ratio (%)
| Dimensionless frequency, | Internal damping only,
| External and internal damping,
| External damping only,
|
| | 0.01 | | −2.03 × 10−6 + 5.36 | −1.72 × 10−5 + 7.46i | −3.03 × 10−4 + 9.95 | | 9.21 × 10−7 + 5.41 | 2.65 × 10−5 + 7.61 | 0.84 + 11.00 |
| | 2.0 | | −4.08 × 10−4 + 5.36 | −3.55 × 10−3 + 7.45 | −0.06 + 9.95 | | 1.82 × 10−4 + 5.41 | 5.13 × 10−3 + 7.61 | 0.78 + 11.00 |
| | 8.0 | | −1.74 × 10−3 + 5.36 | −2.06 × 10−2 + 7.42 | −0.24 + 9.94 | | 6.05 × 10−4 + 5.41 | 1.14 × 10−2 + 7.56 | 0.60 + 11.00 |
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