Research Article
Structural Damping Effects on Dynamic Instability of Subtangentially Loaded and Shear Deformable Beck’s Columns
Table 2
Dimensionless natural frequencies and damping coefficients of a cantilever beam.
| | Property | Shear parameter, | | 0.0 (2.55 × 10−5) | 0.005 | 0.02 |
| | Dimensionless natural frequency | | 3.5160 (3.5157) | 3.4632 | 3.3203 | | 22.035 (22.022) | 20.004 | 16.210 |
| | Dimensionless damping coefficients corresponding to a proportional damping ratio of 0.1% | | 6.064 × 10−3 | 5.904 × 10−3 | 5.512 × 10−3 | | 7.828 × 10−5 | 8.523 × 10−5 | 1.024 × 10−4 |
| | Dimensionless damping coefficients corresponding to a proportional damping ratio of 2% | | 1.213 × 10−1 | 1.181 × 10−1 | 1.102 × 10−1 | | 1.566 × 10−3 | 1.705 × 10−3 | 2.048 × 10−3 |
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The values in parentheses denote the shear parameter and frequencies evaluated for the column given in Table 1.
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