Table 4 Results of PM and DQM for the non-dimensional frequencies of clamped–clamped non-prismatic circular beam
From: Analytic and numeric analysis for deformation of non-prismatic beams resting on elastic foundations
Non-dimensional frequency | \(\gamma = 0\) | \(\gamma = 0.2\) | \(\gamma = 0.4\) | \(\gamma = 0.6\) | \(\gamma = 0.8\) | \(\gamma = 1\) |
|---|---|---|---|---|---|---|
PM (C-C), Ω1 | 4.730 | 5.001 | 5.361 | 5.829 | 6.405 | 7.073 |
DQM (C-C), Ω1 | 4.730 | 5.003 | 5.394 | 6.009 | 6.979 | 8.411 |
PM (C-C), Ω2 | 7.853 | 8.303 | 8.900 | 9.677 | 10.633 | 11.743 |
DQM (C-C), Ω2 | 7.853 | 8.306 | 8.956 | 9.976 | 11.586 | 13.965 |
PM (C-C), Ω3 | 10.996 | 11.626 | 12.462 | 13.550 | 14.889 | 16.443 |
DQM (C-C), Ω3 | 10.996 | 11.631 | 12.541 | 13.969 | 16.224 | 19.554 |