Free Vibration Analysis of Patch Repaired Plates with a Through Crack by -Convergent Layerwise Element

Table 1

Comparison of nondimensional frequencies with respect to variation of crack lengths.

	Model	Mode
		1	2	3	4	5
0	Huang et al. (2011) [18]	1.9312	4.6050	4.6050	7.0641	8.6052
	Present	1.9346	4.6242	4.6242	7.1070	8.6683
0.1	Huang et al. (2011) [18]	1.9109	4.5949	4.6050	7.0479	8.4299
	Present	1.9177	4.6168	4.6240	7.0943	8.5153
0.2	Huang et al. (2011) [18]	1.8673	4.5432	4.6010	7.0195	8.0753
	Present	1.8758	4.5729	4.6208	7.0677	8.1654
0.3	Huang et al. (2011) [18]	1.8116	4.4034	4.5878	6.9820	7.7004
	Present	1.8206	4.4473	4.6092	7.0311	7.7802
0.4	Huang et al. (2011) [18]	1.7518	4.1187	4.5615	6.9121	7.3833
	Present	1.7604	4.1832	4.5839	6.9666	7.4516
0.5	Huang et al. (2011) [18]	1.6941	3.6911	4.5210	6.7693	7.1431
	Present	1.7021	3.7685	4.5433	6.8355	7.2001