Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams

Table 3

Dimensionless fundamental frequencies of the I:C-C beam with a central and midplane delamination.

𝐿2	Method	𝐿1
		0.1	0.2	0.3	0.4
0.1	Present	21.75	22.26	21.49	20.71
	Analytical [1]	22.15	22.21	22.30	22.36
0.2	Present	20.97	21.23	20.97	20.71
	Analytical [1]	21.00	21.53	22.10	22.35
0.3	Present	19.16	20.45	21.23	21.17
	Analytical [1]	19.34	20.78	22.02	22.02
0.4	Present	18.13	20.45	21.74	20.41
	Analytical [1]	18.18	20.48	21.83	20.48