Table 10: First ten natural frequencies (Hz); see Table 7; 𝜃 2 , 3 = 9 0 , 9 0 .

Analytical solutionFinite Element solution
ModeEB 𝑇 Δ )%)ABAQUS R.6.6, B23ABAQUS R.6.6, B22

16.66406.64960.226.66406.6496
231.47230.4823.2531.47230.482
338.76837.6842.8838.76837.684
4218.72208.784.76218.72208.78
5305.61277.5610.1305.61277.56
6434.66376.1215.6434.66376.12
7567.22543.014.46567.22543.01
8655.55592.0010.7655.55592.00
9760.44710.077.09760.44710.07
10888.40797.1911.4888.40797.19