Table 11: 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

18.85528.83220.268.85528.8322
217.81717.5331.6217.81717.533
350.83648.7774.2250.83648.777
4218.16207.775.00218.16207.77
5318.97290.709.72318.97290.70
6426.96366.3016.6426.96366.30
7568.09541.764.86568.09541.76
8641.25588.199.02641.25588.19
9760.88708.357.42760.88708.35
10875.15790.1710.8875.15790.17