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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