Free Vibration Investigations of Rotating FG Beams Resting on Elastic Foundation with Initial Geometrical Imperfection in Thermal Environments

Table 6

The first nondimensional frequency of the S-S FGM beam depends on and .

		n
		0	0.2	1	2	5	10
0	0	30.5631	27.7426	23.7399	22.2960	21.0839	20.5570
	1	30.7569	27.9238	23.9039	22.4529	21.2347	20.7058
	2	30.9489	28.1035	24.0662	22.6082	21.3838	20.8530
10	0	30.7259	27.8930	23.8730	22.4223	21.2044	20.6753
	1	30.9186	28.0733	24.0360	22.5784	21.3543	20.8233
	2	31.1097	28.2520	24.1975	22.7328	21.5026	20.9697
20	0	30.8878	28.0427	24.0053	22.5479	21.3243	20.7930
	1	31.0795	28.2220	24.1674	22.7031	21.4733	20.9401
	2	31.2696	28.3998	24.3280	22.8567	21.6208	21.0857