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

Table 2

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

Present	Ref. [14]	Present	Ref. [14]	Present	Ref. [14]	Present	Ref. [14]	Present
0		3.5073	3.5070	3.9486	3.9483	4.6174	4.6168	5.8198	5.8136	8.7267
		21.6497	21.6477	20.5498	20.5475	19.3883	19.3846	18.4214	18.3834	20.0372
		59.2069	59.2073	53.7093	53.6911	47.6173	47.6021	40.9588	40.825	36.5169
5		6.4254	6.4251	6.7524	6.7521	7.2720	7.2717	8.2469	8.2436	10.6360
		24.9759	24.9737	23.7510	23.7497	22.4394	22.4375	21.3029	21.266	22.7786
		62.5464	663.5392	56.8916	56.8774	50.6483	50.6397	43.8720	43.730	41.0472
10		11.1604	11.1598	11.4494	11.4490	11.9087	11.9083	12.7584	12.767	14.6997
		32.9667	32.9654	31.4395	31.4425	29.7515	29.7521	28.1722	28.136	29.3002
		71.5142	71.4977	65.4444	65.4472	58.7850	58.7878	51.6155	51.450	50.5772
15		16.0851	-	16.3650	-	16.8105	-	17.6223	-	19.3744
		43.0010	-	41.0951	-	38.9051	-	36.7064	-	37.3335
		84.0806	-	77.4631	-	70.2081	-	62.3423	-	59.2553