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Discrete multicriteria reliability-based optimization of spatial trusses

Jendo S., Paczkowski W. M., Silicka E.

Computer Assisted Mechanics and Engineering Sciences

2007

Vol. 14, No. 3

485-496

The paper presents problem of discrete multicriteria optimization of two-layer regular orthogonal spatial trusses. Three criteria of evaluation are taken into account, namely: minimum of weight, maximum of reliability and maximum of stiffness of the structure. To simplify the problem, decomposition techniques are applied. The decision variables are cross-sections of the truss members. The best possible cross section is selected for each bar from a discrete catalogue. Other decision variables (coordinated variables) describe also the geometry of the structure. The multicriteria reliability-based algorithm allows for evaluating the objective functions values and then finding sets of nondominated evaluations and solutions. Reliability of the structure is expressed by the Hasofer–Lind reliability index beta.