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

Beni-Suef University Journal of Basic and Applied Sciences

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

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