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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...
The cross-entropy method is a new approach to estimate rare event probabilities by Monte Carlo simulation. Application of this method for structural reliability analysis is presented. The efficiency of the approach is tested on some benchmark problems typical for reliability analysis.
Praca prezentuje system doradczy ułatwiający ustalenie właściwej liczby kryteriów w zagadnieniach optymalizacji obiektów budowlanych. System powstał przy użyciu programu Microsoft Excel i jest komputerową implementacją przedstawionej w pracy procedury. Przewiduje się, że prezentowany system doradczy będzie jednym z elementów tworzonego szerszego systemu ekspertowego, wspomagającego proces formułowania...
The paper deals with application of two optimization techniques to solve mixed (discrete-continuous) reliability-based optimization (RBO) problem of truss structures. The mixed RBO problem is formulated as the minimization of structural volume subjected to the constraints on the values of componental reliability indices determined by FORM approach. The cross-sectional areas of truss bars and coordinates...
The purpose of this polyoptimization was to find optimal tubular cross section catalogues for the specified spatial trusses. Five different spans of trusses have been analyzed, starting from 24x24 m ending at 72x72 m, trusses supported at every other perimeter node, with loading conditions typical for roofs. Four decision variables were taken under consideration, i.e. the catalogue size t, its arrangement...
The paper deals with application of the ortho-diagonal (O-D) method of finding the nondominated sets of solutions and evaluations for discrete polyoptimization problems. First, the (O-D) method was modified for finding minimum of a scalar function. The monotonicity property of a vector objective function is used by the (O-D) method for consecutive finding of j-th-criteria partial nondominated sets,...
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