Optimal Fuzzy and Dynamics Design of Ecological Sandwich Panel Vessel Roofs

Table 5

Results of optimisation. The properties at each relative radius apply to the whole plate. Model 2 with centre support.

Relative radius 𝜌=𝑟/𝑅0	𝜌=𝑅0/1.4=𝑟crit
𝑑 (mm), 𝑡 (mm), 𝑛𝑤	500, 10, 3
𝑤max,middle (mm), 𝑓FEM	30
𝑃𝑔, total satisfaction	0.49
𝑃𝑠(1) satisfaction on 𝑠1=FCf	0.985, 0.054
𝑃𝑠(2) satisfaction on 𝑠2=𝑤max	0.9982, 0.03
𝑃𝑠(3) satisfaction on 𝑠3=𝜏web/𝜏LTuweb	0.757, 0.0052
𝑃𝑠(4) satisfaction on 𝑠4=𝜎𝑟/𝑆cr, 𝑆cr	0.838. 0.05, 260
𝑃𝑠(5) satisfaction on 𝑠5=𝜎𝑡/𝑆cr, 𝑁5=1/𝑠5	0.85, 0.015, 65
𝑃𝑠(6) satisfaction on 𝑠6=cost	0.75, 6470
𝜎Luf, 𝜎𝑟, 𝑁	50, 13, 3.12
𝜎Tuf, 𝜎𝑡, 𝑁	60, 4, 2.7
𝜏web, 𝜏LTuweb	0.1, 20