Vibration Analysis of a Rotating Disk with a Crack

Table 1

The four lower dimensionless natural frequencies of a free-free stationary disk with a radial crack of dimensionless length 𝑎/𝑅_𝑜=0.9.

	𝑓𝑐(0,1)/𝑓𝑢(0,1)	𝑓𝑐(0,2)/𝑓𝑢(0,2)	𝑓𝑐(0,0)/𝑓𝑢(0,0)	𝑓𝑐(0,3)/𝑓𝑢(0,3)
Symmetric mode
Yuan et al., [28]	0.627	0.795	0.907	0.917
Present study	0.610	0.784	0.861	0.259
% Difference of natural frequency	2.641	1.412	5.089	1.178
Antisymmetric mode
Yuan et al., [28]	0.262	0.468	0.584	0.685
Present study	0.259	0.457	0.538	0.622
% Difference of natural frequency	1.267	2.262	7.895	9.228