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Table 2 Comparison between DQM and numerical values for the first three non-dimensional frequencies of non-uniform beams

From: Analytic and numeric analysis for deformation of non-prismatic beams resting on elastic foundations

Non-dimensional frequency
\(S(X) = (1 + \gamma X)\)
Ω1 Ω2 Ω3
DQM (C-S), \(\gamma = - 1\) 3.277 5.631 8.080
Du et al. [11] (C-S), \(\gamma = - 1\) 3.277 5.630 8.082
DQM (C-S), \(\gamma = 0.5\) 4.124 7.451 10.737
Du et al. [11] (C-S), \(\gamma = 0.5\) 4.114 7.444 10.746