Table 11: The first four eigenvalues for taper or conical beam subjected to variable end conditions using the present NTM and [31].

Beam parametersFrequency parameter
[31]Present NTM

  
  
21.9421.9518
60.4460.5461
118.7118.7589
196.4196.4162

  
  
4.985.0292
12.5012.4289
40.1339.8154
88.2888.0372

  
  
13.6313.6709
24.5924.9270
48.3748.7915
97.2897.5762

  
  
25.8325.8327
71.0071.1461
139.3139.4223
230.3230.4320