Research Article

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

Table 3

Values of “ 𝑝 ” for 0/90/0/90 hypar shell.

Boundary conditionsCutout size ( 𝑎 / 𝑎 )
00.10.20.30.4

CCCC01.67−0.20−1.76−3.56
CSCC01.04−0.47−2.26−4.2
CCSC00.95−0.60−2.54−4.56
CCCS0−1.02−0.47−2.32−4.22
CSSC00.0−1.97−5.43−9.42
CCSS00.0−1.94−5.419.41
CSCS012.4821.2127.7427.51
SCSC012.1721.2529.3228.51
CSSS012.7019.8724.7023.50
SSSC012.6719.9224.9923.75
SSCS012.7719.8724.6823.49
SSSS013.6121.5329.0032.20

𝑎 / 𝑏 = 1 , 𝑎 / = 1 0 0 , 𝑎 / 𝑏 =1, 𝑐 / 𝑎 = 0 . 2 ; 𝐸 1 1 / 𝐸 2 2 = 25, 𝐺 2 3 = 0 . 2 𝐸 2 2 , 𝐺 1 3 = 𝐺 1 2 = 0 . 5 𝐸 2 2 , 𝜈 1 2 = 𝜈 2 1 = 0 . 2 5 , 𝑏 s t / = 1 , 𝑑 s t / = 2 . Each stiffener has a single lamina with fibres along its length.