Static and Dynamic Characteristics of Composite Conoidal Shell Roofs

Table 3

Nondimensional responses of the conoidal shell.

Boundary condition	Lamination (degree)	Static deflections	Fundamental frequency	Dynamic magnification factors
				Load case I	Load case II	Load case III
CCSS	0/90	0.000327 (15)	55.61 (15)	2.10 (4)	2.10 (4)	1.05 (10)
	0/90/0	0.000256 (11)	70.52 (8)	2.37 (14)	2.37 (14)	1.05 (11)
	0/90/0/90	0.000252 (10)	65.81 (13)	2.07 (2)	2.07 (2)	1.04 (9)
	0/90/90/0	0.000243 (9)	71.37 (7)	2.24 (11)	2.24 (11)	1.05 (12)
	45/−45	0.000104 (3)	70.06 (9)	2.18 (8)	2.18 (8)	1.01 (1)
	45/−45/45	0.000116 (4)	82.46 (6)	2.08 (3)	2.08 (3)	1.02 (5)
	45/−45/45/−45	0.000083 (1)	89.15 (1)	2.15 (5)	2.15 (5)	1.01 (2)
	45/−45/−45/45	0.000091 (2)	86.90 (4)	2.16 (7)	2.16 (7)	1.02 (6)
SSCC	0/90	0.000394 (16)	53.10 (16)	2.06 (1)	2.07 (1)	1.05 (13)
	0/90/0	0.000279 (12)	68.36 (10)	2.38 (16)	2.38 (16)	1.05 (14)
	0/90/0/90	0.000306 (14)	62.16 (14)	2.15 (6)	2.15 (6)	1.05 (15)
	0/90/90/0	0.000279 (13)	68.21 (11)	2.37 (15)	2.37 (15)	1.05 (16)
	45/−45	0.000186 (8)	68.13 (12)	2.25 (12)	2.25 (12)	1.01 (3)
	45/−45/45	0.000137 (6)	85.52 (5)	2.29 (13)	2.29 (13)	1.03 (7)
	45/−45/45/−45	0.000138 (7)	87.25 (3)	2.18 (9)	2.18 (9)	1.01 (4)
	45/−45/−45/45	0.000133 (5)	88.80 (2)	2.22 (10)	2.22 (10)	1.03 (8)

𝑎/𝑏=1, 𝑎/ℎ=100, ℎ_ℎ/𝑎=0.2, ℎ_𝑙/ℎ_ℎ=0.25, 𝐸₁₁=25𝐸₂₂, 𝐺₁₂=𝐺₁₃=0.5𝐸₂₂, 𝐺₂₃=0.2𝐸₂₂, 𝜈₁₂=0.25,  and 𝜌=100 Nsec²/m⁴.
Values in parentheses indicate ranks for respective shell actions.