The Modeling Method for Vibration Characteristics Analysis of Composite-Laminated Rotationally Stiffened Plate

Table 2

Convergence analysis of the frequency parameter Ω for composite-laminated rotationally stiffened plates.

		Order modal
		1	2	3	4	5	6	7	8
		Stiffened annular sector plate: , ϑ = 90°, CCCC
6 × 6	25	2.537	5.040	5.705	6.562	6.989	8.047	8.378	11.636
	50	2.537	5.040	6.005	6.862	6.989	8.046	8.377	11.636
10 × 10	25	2.535	4.914	5.459	5.939	6.474	7.499	7.746	9.147
	50	2.535	4.914	5.459	5.939	6.474	7.499	7.746	9.147
14 × 14	25	2.534	4.866	5.376	5.744	6.377	7.387	7.592	8.994
	50	2.534	4.866	5.376	5.744	6.377	7.387	7.592	8.994
18 × 18	25	2.533	4.837	5.332	5.654	6.331	7.343	7.521	8.943
	50	2.533	4.837	5.332	5.654	6.331	7.343	7.521	8.943
	FEM	2.559	5.098	5.268	5.579	6.304	7.547	7.646	9.194
		Stiffened circular sector plate: , ϑ = 90°, CCC
6 × 6	25	2.532	3.895	4.153	5.308	6.929	7.277	8.648	11.522
	50	2.532	3.895	4.153	5.308	6.929	7.277	8.648	11.521
10 × 10	25	2.406	3.699	3.964	4.725	6.303	6.723	8.392	9.064
	50	2.406	3.699	3.964	4.725	6.303	6.723	8.392	9.064
14 × 14	25	2.335	3.642	3.947	4.657	6.214	6.575	8.253	8.692
	50	2.335	3.642	3.947	4.657	6.214	6.575	8.253	8.692
18 × 18	25	2.288	3.617	3.937	4.632	6.189	6.511	8.219	8.549
	50	2.288	3.617	3.937	4.632	6.189	6.511	8.219	8.549
	FEM	2.332	3.634	3.835	4.789	6.190	6.371	8.145	8.397
		Stiffened annular plate: , ϑ = 360°, CC
6 × 6	25	0.963	1.161	1.161	1.285	1.286	1.601	1.601	2.178
	50	0.963	1.161	1.161	1.285	1.286	1.601	1.601	2.178
10 × 10	25	0.959	1.158	1.158	1.280	1.280	1.565	1.568	2.178
	50	0.959	1.158	1.158	1.280	1.280	1.565	1.568	2.178
14 × 14	25	0.959	1.157	1.157	1.278	1.278	1.562	1.562	2.177
	50	0.959	1.157	1.157	1.278	1.278	1.562	1.562	2.177
18 × 18	25	0.959	1.157	1.157	1.277	1.277	1.560	1.560	2.176
	50	0.959	1.157	1.157	1.277	1.277	1.560	1.560	2.176
	FEM	0.988	1.029	1.029	1.155	1.252	1.576	1.577	2.160
		Stiffened circular plate: , ϑ = 360°, C
6 × 6	25	0.325	0.633	0.633	0.971	0.972	1.217	1.413	1.416
	50	0.325	0.633	0.633	0.971	0.972	1.217	1.404	1.405
10 × 10	25	0.324	0.632	0.632	0.969	0.969	1.217	1.381	1.383
	50	0.324	0.632	0.632	0.969	0.969	1.217	1.381	1.383
14 × 14	25	0.324	0.632	0.632	0.969	0.969	1.217	1.381	1.381
	50	0.324	0.632	0.632	0.969	0.969	1.217	1.381	1.381
18 × 18	25	0.324	0.632	0.632	0.969	0.969	1.216	1.381	1.381
	50	0.324	0.632	0.632	0.969	0.969	1.216	1.381	1.381
	FEM	0.308	0.609	0.610	0.955	1.035	1.150	1.455	1.468