Table 9: First ten natural frequencies (Hz); see Table 7; 𝜃 2 , 3 = 4 5 , 9 0 .

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

16.18556.17010.256.18556.1701
225.59625.2221.4825.59625.222
359.14756.5944.5159.14756.594
4208.91199.874.52208.91199.87
5309.93280.4710.5309.93280.47
6398.82368.748.16398.82368.74
7534.23496.227.66534.23496.22
8647.83571.6513.3647.83571.65
9762.02702.558.46762.02702.55
10890.88802.9011.0890.88802.90