Table 3 Results of PM and DQM for the non-dimensional frequencies of clamped–clamped non-prismatic rectangular 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 | 4.999 | 5.340 | 5.745 | 6.200 | 6.689 |
DQM (C-C), Ω1 | 4.730 | 5.002 | 5.385 | 5.983 | 6.952 | 8.428 |
PM (C-C), Ω2 | 7.853 | 8.300 | 8.865 | 9.538 | 10.294 | 11.106 |
DQM (C-C), Ω2 | 7.853 | 8.305 | 8.940 | 9.933 | 11.542 | 13.992 |
PM (C-C), Ω3 | 10.996 | 11.622 | 12.413 | 13.355 | 14.413 | 15.551 |
DQM (C-C), Ω3 | 10.996 | 11.628 | 12.518 | 13.909 | 16.161 | 19.593 |