International Scholarly Research Notices

Research Article

Behaviour and Optimization Aids of Composite Stiffened Hypar Shell Roofs with Cutout under Free Vibration

Table 8

Values of “” for +45/−45/+45/−45 hypar shells.


Edge condition
Edge condition		0.2	0.3	0.4	0.5	0.6	0.7	0.8

	0.2	75.5	77.52	79.62	81.91	79.62	77.53	75.48
	0.3	77.73	83.09	88.13	90.22	87.48	83.1	77.73
	0.4	79.88	88.13	94.67	97.1	94.66	87.7	79.88
CCCC	0.5	81.64	90.22	96.18	100	96.18	89.43	81.65
	0.6	79.88	87.48	94.67	97.1	94.67	87.56	79.88
	0.7	77.73	83.1	87.78	90.23	87.45	83.09	77.73
	0.8	75.23	77.24	79.46	81.91	79.59	77.26	75.22

	0.2	107.37	111.09	113.43	114.35	113.44	111.12	107.33
	0.3	109.36	116.53	120.39	120.22	120.33	116.71	109.43
	0.4	110.05	113.46	112.76	111.31	112.73	113.62	110.23
CSCC	0.5	106.26	107.25	102.28	100	102.23	107.25	106.1
	0.6	103.13	100.64	95.53	93.26	95.47	100.66	102.59
	0.7	98.44	94.11	90.94	89	90.86	94.96	97.47
	0.8	92.85	89.98	87.17	85.77	87.11	90.07	92.03

	0.2	92.25	97.51	102.65	106.18	110.36	109.26	107.52
	0.3	90.31	95.06	100.71	107.15	113.38	116.61	111.43
	0.4	87.39	90.93	95.43	102.23	112.88	120.74	113.94
CCSC	0.5	86.01	88.94	93.11	100	111.51	120.59	114.85
	0.6	87.39	90.93	95.43	102.23	112.88	120.71	113.96
	0.7	90.31	95.07	100.71	107.15	113.39	116.77	111.39
	0.8	92.22	97.4	102.31	106.04	110.01	109.17	107.57

	0.2	91.86	90.02	87.14	85.78	87.14	90.02	91.86
	0.3	97.09	94.85	90.89	89	90.89	94.85	97.09
	0.4	102.26	100.62	95.5	93.27	95.5	100.62	102.25
CCCS	0.5	105.99	107.28	102.26	100	102.26	107.28	105.93
	0.6	110.5	113.49	112.73	111.27	112.72	113.49	110.06
	0.7	109.37	116.56	120.35	120.21	120.35	116.58	109.37
	0.8	106.23	109.95	112.53	113.65	112.87	110.26	106.66

	0.2	95.93	100.5	103.22	102.74	101.52	100.22	97.64
	0.3	93.28	97.34	101.01	102.67	103.21	102.67	100.37
	0.4	90.61	94.01	97.93	100.97	102.56	103.17	101.65
CSSC	0.5	91.13	94.4	98.11	100	100.55	102.33	102.63
	0.6	95.01	98.53	100.05	97.71	97.28	100.34	102.78
	0.7	99.07	101.19	98.19	93.94	93.32	96.59	99.91
	0.8	96.67	98.42	94.33	90.33	89.66	92.33	95.22

	0.2	97.17	98.62	94.38	90.41	89.83	92.61	95.51
	0.3	99.04	101.42	98.17	93.99	93.49	96.79	100.11
	0.4	95	98.7	100.12	97.75	97.43	100.53	102.97
CCSS	0.5	91.08	94.55	98.15	100	100.66	102.49	102.78
	0.6	90.55	94.13	97.97	101	102.65	103.29	101.75
	0.7	93.3	97.5	101.13	102.8	103.35	102.81	100.5
	0.8	95.63	100.33	103.41	102.77	101.64	100	97.48

	0.2	95.87	96.13	94.92	94.15	94.92	96.13	95.83
	0.3	103.42	104.06	100.92	98.89	100.92	104.06	103.42
	0.4	103.08	104.22	101.8	99.99	101.8	104.22	103.08
CSCS	0.5	102.11	103.48	101.55	100	101.55	103.48	102.11
	0.6	103.08	104.23	101.8	100	101.8	104.22	103.08
	0.7	103.42	104.06	100.92	98.89	100.92	104.06	103.42
	0.8	94.95	95.31	94.23	93.78	94.29	95.6	95.17

	0.2	96.22	103.6	103.18	102.26	103.18	103.6	96.22
	0.3	96.53	104.15	104.36	103.67	104.36	104.15	96.53
	0.4	95.31	100.98	101.85	101.68	101.85	100.98	95.31
SCSC	0.5	94.52	98.92	99.94	100	99.94	98.93	94.52
	0.6	95.31	100.98	101.85	101.68	101.85	100.98	95.31
	0.7	96.53	104.15	104.36	103.67	104.36	104.15	96.53
	0.8	96.23	103.59	103.13	102.19	103.13	105.58	96.22

	0.2	94.97	96.22	94.35	91.61	90.5	91.12	90.97
	0.3	103.71	105.89	102.58	97.88	96.51	98.02	98.03
	0.4	104.04	106.17	103.76	99.83	98.56	94.14	99.79
CSSS	0.5	103.07	105.12	103.26	100	98.84	99.89	99.89
	0.6	104.04	106.17	103.76	99.83	98.56	99.78	99.79
	0.7	103.71	105.89	102.58	97.89	96.51	98.03	98.03
	0.8	94.35	95.69	93.98	91.17	90.05	90.5	90.42

	0.2	90.77	97.71	99.57	99.72	99.58	97.7	90.77
	0.3	91.11	97.83	99.65	99.8	99.65	97.83	91.11
	0.4	90.67	96.5	98.5	98.79	98.5	96.51	90.67
SSSC	0.5	91.95	98	99.83	100	99.83	98	91.95
	0.6	94.82	102.81	103.94	103.44	103.94	102.81	94.81
	0.7	96.72	106.2	106.42	105.32	106.42	106.2	96.72
	0.8	95.38	104.11	104.24	103.18	104.22	104.09	95.38

	0.2	90.97	91.14	90.5	91.61	94.35	96.23	94.99
	0.3	98.03	98.03	96.51	97.88	102.58	105.89	103.71
	0.4	95.29	99.78	98.56	99.83	103.76	106.17	104.04
SSCS	0.5	99.89	99.89	98.84	100	103.26	105.12	103.07
	0.6	99.81	99.79	98.56	99.83	103.76	106.17	104.04
	0.7	98.03	98.03	96.51	97.89	102.59	105.89	103.71
	0.8	89.91	90.07	89.62	91.29	93.56	95.74	94.07

	0.2	90.91	91.7	89.71	88.65	89.71	91.7	90.91
	0.3	91.48	99.37	97.5	95.99	97.5	99.37	91.48
	0.4	89.64	97.39	100.37	99.5	100.37	97.39	89.64
SSSS	0.5	88.62	95.93	99.42	100	99.42	95.93	88.62
	0.6	89.64	97.39	100.37	99.49	100.37	97.39	89.64
	0.7	91.48	99.37	97.51	95.99	97.51	99.37	91.48
	0.8	90.69	91.02	89.15	88.3	89.06	91.21	90.3

, , , ; = 25, , = , , , . Each stiffener has a single lamina with fibres along its length.