Optimal Fuzzy and Dynamics Design of Ecological Sandwich Panel Vessel Roofs

Table 4

Results of optimisation. The properties at each relative radius apply to the whole plate. Model 1 with no centre supports.

(a)

Relative radius 𝜌=𝑟/𝑅0	𝜌=0.1
𝑑 (mm), 𝑡 (mm), 𝑛𝑤	500, 30, 1
𝑤max,middle (mm), 𝑓FEM	243
𝑃𝑔,total satisfaction	0.13
𝑃𝑠(1) satisfaction on 𝑠1=FCf	0.93, 0.096
𝑃𝑠(2) satisfaction on 𝑠2=𝑤max	0.57, 0.243
𝑃𝑠(3) satisfaction on 𝑠3=𝜏web/𝜏LTuweb	0.76, 0.0052
𝑃𝑠(4) satisfaction on 𝑠4=𝜎𝑟/Scr, Scr	.86, 0.052, 260
𝑃𝑠(5) satisfaction on 𝑠5=𝜎𝑡/𝑆cr, 𝑁5=1/𝑠5	0.97, 0.072, 14
𝑃𝑠(6) satisfaction on 𝑠6=cost	0.38, 14000
𝜎Tuf, 𝜎𝑟, 𝑁	50, 13.6, 3.7
𝜎Tuf, 𝜎𝑡, 𝑁	60, 19, 3.15
𝜏web, 𝜏LTuweb	0.1, 20

(b)

𝜌=𝑟/𝑅0	𝜌=0.5	𝜌=0.9
𝑑 (mm), 𝑡 (mm), 𝑛𝑤	500, 30, 3	500, 30, 3
𝑤max,middle (mm), 𝑓FEM	274	300
𝑃𝑔, satisfaction	0.053	0.056
𝑃𝑠(1), 𝑠1=FCf	0.927, 0.06	.97, 0.063
𝑃𝑠(2), 𝑠2=𝑤max	0.5, 0.274	0.45, 0.3
𝑃𝑠(3), 𝑠3	0.93, 0.044	1, 0.14
𝑃𝑠(4), 𝑠4	0.54, 0.11	0.65, 0.09
𝑃𝑠(5), 𝑠5, 𝑁5=1/𝑠5	0.99, 0.18, 5.5	.91, 0.43, 2.3
𝑃𝑠(6), 𝑠6=cost	0.21, 19410	0.21, 19410
𝜎Luf, 𝜎𝑟, 𝑁	50, 10, 5	50, 2.6, 19
𝜎Tuf, 𝜎𝑡, 𝑁	60, 17, 3.5	60, 12, 5
𝜏web, 𝜏LTuweb	1.04, 20	2.8, 20