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

Table 3

The first three dimensionless natural frequencies of rotating solid tapered Rayleigh beams for different at , , .

0		3.1877	2.9421	2.7461	2.5882	2.4704	2.4129	2.4613	2.6858
		22.6579	23.5718	24.3952	25.1281	25.7580	26.2480	26.5270	26.4787
		64.2417	68.9100	73.2615	77.3249	81.1317	84.7333	88.2071	91.6568
5		6.1987	6.0331	5.9156	5.8549	5.8827	6.0577	6.4683	7.2429
		26.0836	27.0745	27.9483	28.6698	29.2062	29.4743	29.3543	28.6666
		67.7177	72.5014	76.9672	81.1744	85.1868	89.0823	92.9551	96.9133
10		10.9632	10.8352	10.7906	10.8785	11.1850	11.8383	13.0323	15.1307
		34.3001	35.4363	36.3539	36.9976	37.2721	37.0347	36.0682	33.9720
		77.0509	82.1465	86.9066	91.4446	95.8797	100.3326	104.9216	109.7575
15		15.9065	15.8297	15.9030	16.2187	16.9153	18.1923	20.3830	24.3670
		44.5894	45.8474	46.7372	47.1832	47.0645	46.1947	44.2444	40.3254
		90.1006	95.6133	100.7463	105.6461	110.4616	115.3326	120.3820	125.7134