Research Article

Generalized Differential Quadrature Method for Free Vibration Analysis of a Rotating Composite Thin-Walled Shaft

Table 2

The first natural frequencies of the shaft for different boundary conditions and various rotating speed ().

Rotating  Speed  [rpm]Frequency ω [Hz]
1B(C-C)1F(C-C)1B(S-S)1F(S-S)1B(C-F)1F(C-F)

0289.3935289.3935207.0878207.087849.028449.0284
100287.7097291.0775205.4020208.773747.353050.7041
200286.0260292.7615203.7163210.459845.677952.3801
300284.3423294.4457202.0308212.146144.003154.0564
400282.6588296.1299200.3455213.832642.328655.7330
500280.9753297.8142198.6603215.519140.654457.4099
600279.2920299.4987196.9752217.205938.980659.0871
700 277.6087301.1832195.2904218.892837.307060.7646
800275.9256302.8678193.6057220.579835.633762.4424
900 274.2425304.5526191.9211222.267033.960764.1205
1000 272.5596306.2374190.2367223.954432.288165.7990