A Normalized Transfer Matrix Method for the Free Vibration of Stepped Beams: Comparison with Experimental and FE(3D) Methods

Table 10

The first three eigenvalues for C-F conical beam using NTM in comparison with those of the exact solution presented in [30] and NAT results using the program of [6].

		[30]	NAT [6]		NTM		NTM		NTM		NTM
				Time (s)		Time (s)		Time (s)		Time (s)		Time (s)
0.2		6.1964	6.1683	6	6.1706	1.8	6.1954	5.3	6.1962	10.5	6.1963	32.6
		18.3855	18.2513		18.2513		18.3801		18.3840		18.3853
		39.8336	39.4809		39.4809		39.8194		39.8300		39.8336
0.5		4.6252	4.6155	6.2	4.6175	1.9	4.6249	5.4	4.6250	10.9	4.6251	34
		19.5476	19.5074		19.5074		19.5460		19.5472		19.5477
		48.5789	48.4725		48.4725		48.5746		48.5779		48.5788
0.7		4.0669	4.0615	6.2	4.0635	1.9	4.0668	5.6	4.0669	11.1	4.0670	35
		20.5554	20.5360		20.5361		20.5547		20.5553		20.5554
		—	53.9625		53.9625		54.0131		54.0147		54.0152