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Reliability-Based Optimization of One-Bay 2-D Steel Frame
Seyed Rohollah Hoseini Vaez,Saeid Sarvdalir 대한토목학회 2018 KSCE JOURNAL OF CIVIL ENGINEERING Vol.22 No.7
In the conventional method of designing structures, a number of constants often characterize decisive parameters such asdimensions, material strengths and loads. Insufficient precision in modeling and implementing the structures are among theuncertainties that exist in structural design. If the maximum safety is expected for a structure, a combination of optimization andreliability should be used; this means that the structure should be optimized on the basis of reliability rather than economicconsiderations. In this study, geometry optimization of different steel frames has been done based on reliability; in fact, the objectiveis to obtain dimensions which are expected to have the best performance in terms of safety. To do so, different failure surfaces shouldfirstly be defined and the structure should be optimized on the basis of the maximum reliability possible. The answer to the problemis the maximum distance from the defined failure surface obtained by probabilistic method. Also, decision-making analysis, which isthe principle of engineering judgment, has been defined in the mathematical model so that the structural engineer has more options todetermine the type of structural performance. The solution of linear and non-linear problems can be determined by implementing thealgorithm for several times. Genetic algorithm can obtain the design point and probability of failure in statistical problems; therefore,it has been used to find the best dimensions of the frame under study.