Analysis of Laminated Shells by Murakami’s Zig-Zag Theory and Radial Basis Functions Collocation

Table 2

Nondimensionalized fundamental frequencies of cross-ply laminated spherical shells, 𝜔=𝜔(𝑎²/ℎ)𝜌/𝐸₂, and laminate ([0^∘/90^∘/90^∘/0^∘]).

𝑎/ℎ	Method	𝑅/𝑎
		5	10	20	50	100	10^9
10	Present (13×13)	12.0527	11.8889	11.8474	11.8357	11.8340	11.8335
	Present (17×17)	12.0523	11.8886	11.8471	11.8355	11.8338	11.8332
	Present (21×21)	12.0522	11.8885	11.8470	11.8355	11.8338	11.8332
	HSDT [56]	12.040	11.840	11.790	11.780	11.780	11.780
100	Present (13×13)	31.2170	20.5742	16.8698	15.6744	15.4960	15.4361
	Present (17×17)	31.2072	20.5679	16.8648	15.6698	15.4915	15.4316
	Present (21×21)	31.2059	20.5672	16.8642	15.6693	15.4910	15.4311
	HSDT [56]	31.100	20.380	16.630	15.420	15.230	15.170