Free Vibration Analysis for Cracked FGM Beams by Means of a Continuous Beam Model

Table 4

The fundamental frequency ratio of cracked FGM beams with different crack depth.

	3D FEM		Present
		0.9890	0.9943	0.9863	0.9934
		0.9545	0.9760	0.9501	0.9726
	0.8972	0.9434	0.8947	0.9376
	0.8162	0.8927	0.8087	0.8830
	0.7117	0.8084	0.7043	0.7994