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

Table 6

The dependence of the first nondimensional frequency of the FGM beam on the axial compressive load and , n = 0.5,  = 0.2, and r/L = 1.

BC
		0	2	5	10	15	20
S-S	0	0.2172	0.2320	0.2951	0.4397	0.5907	0.7389
	0.2	0.2083	0.2236	0.2885	0.4351	0.5870	0.7357
	0.4	0.1989	0.2149	0.2818	0.4305	0.5834	0.7326
	0.6	0.1891	0.2059	0.2749	0.4258	0.5797	0.7294
	0.8	0.1788	0.1964	0.2679	0.4210	0.5759	0.7262
C-C	0	0.5214	0.5296	0.5697	0.6883	0.8375	0.9963
	0.2	0.5169	0.5251	0.5656	0.6850	0.8349	0.9941
	0.4	0.5123	0.5206	0.5615	0.6817	0.8322	0.9918
	0.6	0.5077	0.5161	0.5573	0.6783	0.8295	0.9895
	0.8	0.5030	0.5115	0.5531	0.6749	0.8267	0.9873