Research Article
Structural Damping Effects on Dynamic Instability of Subtangentially Loaded and Shear Deformable Beck’s Columns
Table 7
Flutter and divergence loads of shear-flexible Beck’s columns by analytical and FE solutions for
, 1.0.
| | | | |
| | | | | | | | |
| | () | 16.40 (exact) | 14.73 (exact) | 11.29 (exact) | 20.05 (exact) | 17.16 (exact) | 12.12 (exact) | | 16.40 (10) | 14.75 (10) | 11.32 (10) | 20.05 (10) | 17.30 (10) | 12.33 (10) | | 16.40 (20) | 14.74 (20) | 11.30 (20) | 20.05 (20) | 17.22 (20) | 12.21 (20) | | 16.40 (40) | 14.73 (40) | 11.29 (40) | 20.05 (40) | 17.19 (40) | 12.17 (40) |
| | 15.86 (exact) | 14.22 (exact) | 10.74 (exact) | 17.03 (exact) | 14.87 (exact) | 10.90 (exact) | | 15.86 (10) | 14.24 (10) | 10.79 (10) | 17.03 (10) | 14.95 (10) | 11.03 (10) | | 15.86 (20) | 14.22 (20) | 10.75 (20) | 17.03 (20) | 14.91 (20) | 10.96 (20) | | 15.86 (40) | 14.22 (40) | 10.74 (40) | 17.03 (40) | 14.89 (40) | 10.93 (40) |
| | 15.86 (exact) | 14.22 (exact) | 10.74 (exact) | 10.94 (exact) | 10.04 (exact) | 8.083 (exact) | | 15.86 (10) | 14.24 (10) | 10.79 (10) | 10.94 (10) | 10.05 (10) | 8.117 (10) | | 15.86 (20) | 14.22 (20) | 10.75 (20) | 10.94 (20) | 10.04 (20) | 8.100 (20) | | 15.86 (40) | 14.22 (40) | 10.74 (40) | 10.94 (40) | 10.04 (40) | 8.091 (40) |
| | 5.292 (exact) | 5.263 (exact) | 5.204 (exact) | — | — | — | | 5.292 (10) | 5.263 (10) | 5.201 (10) | | 5.292 (20) | 5.263 (20) | 5.203 (20) | | 5.292 (40) | 5.263 (40) | 5.203 (40) |
|
|
Numbers in the parentheses are the numbers of elements used.
|
