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Content available remote Discrete multicriteria reliability-based optimization of spatial trusses
Jendo S., Paczkowski W. M., Silicka E.
Computer Assisted Mechanics and Engineering Sciences
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2007
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Vol. 14, No. 3
485-496
EN
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.
2
Content available remote Evaluation of adaptive Monte Carlo methods for reliability analysis
Jendo S., Kolanek K.
Journal of KONBiN
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2006
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No. 2
219--228
EN
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.
3
System doradczy liczby kryteriów optymalizacji obiektów budowlanych
Jendo S., Paczkowski W., Wilczyński P.
Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
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2005
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z. 29
145-150
PL
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 i rozwiązywania problemów dyskretnej optymalizacji obiektów.
EN
The paper deals with an advisory system helping in the selection of an appropriate number of objectives in civil engineering optimization problems. Procedures described in the paper are implemented using the Microsoft Excel code. The proposed advisory system will serve as one of the components of a larger expert system, which can be effectively applied in formulating and solving discrete optimization problems.
4
Content available remote A polyoptimal catalogue of rolled profiles for a given class of spatial trusses
Badower A., Paczkowski W. M., Jendo S.
Computer Assisted Mechanics and Engineering Sciences
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2000
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Vol. 7, No. 1
103-116
EN
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 T in a metallurgical catalogue T_M, minimal and maximal diameters of tubular elements D_{min} and D_{max}. Two objective functions: truss mass and manufacturability of particular solutions were evaluated. For that purpose, some design, technological, and computational constraints were taken into account. For the specified spans L, different catalogues of cross sections were defined by TOPSIS method.
5
Content available remote An application of a decomposed ortho-diagonal method to discrete polyoptimization of a hall with spatial grid structure
Paczkowski W. M., Jendo S.
Computer Assisted Mechanics and Engineering Sciences
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1999
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Vol. 6, No. 2
137-162
EN
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, j \in {1,2,...,J}. To find the nondominated evaluations sets the discrete neighbourhoods S of the point x_i are investigated starting from the solution x*_1 which minimizes the first objective function. In this way the consecutive nondominated solutions x*_{ND} are determined. An accuracy of solution and CPU computing time depend on the way the discrete neighbourhoods S of the point x_i in the design space are defined. The algorithm of the (O-D) method is applied to solve the discrete polyoptimization of a hall with spatial grid structure.
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