Framework for Dynamic-Stiffness-Based Free Vibration Analysis of Plate-Like Structures

Table 3

Dimensionless frequencies ω = ωa (ρ(1 − ν₁₂²)/E₂)^1/2 of laminated composite plate with a single stiffener (E₂/E₁ = 40, G₁₂/E₂ = G₁₃/E₂ = 0.6, G₂₃/E₂ = 0.5, and ν₁₂ = 0.25).

Mode	h/a = 0.02			h/a = 0.05			h/a = 0.1
	FSDT	HSDT	Abaqus	FSDT	HSDT	Abaqus	FSDT	HSDT	Abaqus
1	0.3197	0.3189	0.3179	0.7548	0.7448	0.7293	1.2855	1.2428	1.1705
2	0.5312	0.5297	0.5287	1.0053	0.9997	0.9870	1.4084	1.3762	1.3223
3	1.0066	0.8389	0.8346	1.9700	1.8417	1.7739	2.1554	2.1546	2.1401
4	1.0838	0.9529	0.9486	2.0863	1.9666	1.9554	2.8721	2.7650	2.5407
5	1.3453	1.3457	1.3407	2.1882	2.0333	1.9702	3.1976	2.8675	2.7107
6	1.5578	1.5583	1.5574	2.3647	2.0889	2.0832	3.3807	2.9119	2.8235
Average difference (%)	6.04	0.32		7.95	1.88		11.30	4.80