Research Article

Transverse Vibration of Rotating Tapered Cantilever Beam with Hollow Circular Cross-Section

Table 5

The first three order dimensionless natural frequencies of rotating tapered hollow beams for various ratio of inner radius to the root radius .


04.07434.48695.46894.00214.39285.3165
21.113722.808525.995819.193320.453922.8066
55.075959.030865.633045.136147.250350.6619

56.82837.08787.76136.65306.87567.4647
24.217625.631428.319321.885622.846324.6981
58.150461.798167.869447.523049.329452.2535

1011.502311.683712.158411.192711.310411.6424
31.743632.660034.360828.441528.829729.6427
66.459369.389474.147453.952755.016956.7149

1516.410916.567516.972515.974016.041516.2467
41.269541.766042.532736.745536.593036.3560
78.214380.336183.493562.972863.157063.3260