Reliability-based dome optimization (RBDO) is one of the most robust methods nowadays, which has made it possible to achieve a high degree of safety and optimum structural design at the same time. The purpose of optimization, based on the reliability of space domes, is to find the best set of sections of the structural members, which leads to the minimum structural weight, incorporating the probabilistic constrains. In the contest of reliability or probabilistic constrain, the applied loads, the module of elasticity, and the cross-sections of the members are considered as random variables with the specified probability distributions. The particle swarm method (PSO) is used as optimization algorithm because it is a simple and robust method in the case of nonlinear objective functions. In order to investigate the effect of probabilistic constraints selections based on three displacement, stress, and combination of displacement and stress, three space domes with different height to span ratios are considered in this research. The results indicate the optimal structural weight of space domes vary with changes the height-to-span ratio and type of the constraint model selections. Therefore, in order to obtain the optimum space domes in regards to the structural weight, incorporation of both probabilistic constraints of combined stress and displacement is essential in design step.
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