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

Table 5

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

		n
		0	0.2	1	2	5	10
0	0	18.6497	17.0410	14.7543	13.9080	13.1900	12.8903
	1	18.7891	17.1703	14.8700	14.0184	13.2956	12.9943
	2	18.9239	17.2951	14.9814	14.1244	13.3970	13.0941
10	0	18.9155	17.2852	14.9677	14.1099	13.3821	13.0784
	1	19.0530	17.4127	15.0818	14.2187	13.4862	13.1810
	2	19.1860	17.5358	15.1916	14.3233	13.5861	13.2793
20	0	19.1777	17.5259	15.1781	14.3089	13.5714	13.2639
	1	19.3133	17.6517	15.2907	14.4162	13.6741	13.3650
	2	19.4445	17.7732	15.3990	14.5194	13.7726	13.4620