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

Table 10

The dependence of the first nondimensional frequency of the FGM beam on L/h and , n = 0.2,  = 0.5,  = 0.2,  = 5,  = 10⁻³, and r/L = 1.

BC		L/h
		5	10	20	40	60	80
S-S		0.9255	0.5130	0.3097	0.2297	0.2124	0.2083
		3.3353	1.9643	1.0847	0.6564	0.5395	0.4935
		6.1553	4.1398	2.3247	1.3095	0.9985	0.8648
		8.4406	6.7814	3.9891	2.2047	1.6138	1.3447
		9.8942	9.6033	6.0151	3.3032	2.2350	1.6755
		10.7814	10.2823	6.7829	3.4187	2.4060	1.9483
C-C		1.8975	1.1135	0.6145	0.3712	0.3047	0.2785
		4.4666	2.9041	1.6229	0.9189	0.7054	0.6140
		6.7845	5.1651	3.0493	1.6945	1.2469	1.0439
		8.7909	7.8311	4.8739	2.7061	1.9436	1.5828
		10.0453	10.3811	6.9602	3.9304	2.7900	2.2308
		10.8840	10.8069	9.2402	5.3271	3.7602	2.9688