Free Vibration Exploration of Rotating FGM Porosity Beams under Axial Load considering the Initial Geometrical Imperfection

Table 9

The dependence of the first nondimensional frequency of the FGM beam on L/h and , n = 0.2,  = 0.2,  = 0.5,  = 10⁻³, and r/L = 1.

BC		L/h
		5	10	20	40	60	80
S-S	0	0.9048	0.4740	0.2413	0.1328	0.1107	0.1101
	2	0.9082	0.4805	0.2538	0.1541	0.1350	0.1341
	5	0.9255	0.5130	0.3097	0.2297	0.2124	0.2083
	10	0.9844	0.6119	0.4452	0.3733	0.3502	0.3397
	15	1.0733	0.7411	0.5911	0.5133	0.4828	0.4664
C-C	0	1.8857	1.0916	0.5730	0.2993	0.2161	0.1833
	2	1.8876	1.0952	0.5799	0.3124	0.2336	0.2033
	5	1.8975	1.1135	0.6145	0.3712	0.3047	0.2785
	10	1.9324	1.1758	0.7203	0.5154	0.4561	0.4279
	15	1.9884	1.2700	0.8588	0.6716	0.6088	0.5745