Detail publikace

Fuzzy Sets Theory in Comparison with Stochastic Methods to Analyse Nonlinear Behaviour of a Steel Member under Compression

KALA, Zdeněk

Originální název

Fuzzy Sets Theory in Comparison with Stochastic Methods to Analyse Nonlinear Behaviour of a Steel Member under Compression

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

The load-carrying capacity of the member with imperfections under axial compression is analysed in the present paper. The study is divided into two parts: (i) in the first one, the input parameters are considered to be random numbers (with distribution of probability functions obtained from experimental results and/or tolerance standard), while (ii) in the other one, the input parameters are considered to be fuzzy numbers (with membership functions). The load-carrying capacity was calculated by geometrical nonlinear solution of a beam by means of the finite element method. In the case (ii), the membership function was determined by applying the fuzzy sets, whereas in the case (i), the distribution probability function of load-carrying capacity was determined. For (i) stochastic solution, the numerical simulation Monte Carlo method was applied, whereas for (ii) fuzzy solution, the method of the so-called alfa cuts was applied. The design load-carrying capacity was determined according to the EC3 and EN1990 standards. The results of the fuzzy, stochastic and deterministic analyses are compared in the concluding part of the paper.

Klíčová slova

fuzzy, stochastic, simulation, steel, beam

Autoři

KALA, Zdeněk

Rok RIV

2005

Vydáno

1. 1. 2005

Nakladatel

LANA

Místo

Vilnius (Litva)

ISSN

1392-5113

Periodikum

Nonlinear Analysis - Modelling and Control

Ročník

10

Číslo

1

Stát

Litevská republika

Strany od

65

Strany do

75

Strany počet

10

BibTex

@article{BUT42495,
  author="Zdeněk {Kala}",
  title="Fuzzy Sets Theory in Comparison with Stochastic Methods to Analyse Nonlinear Behaviour of a Steel Member under Compression",
  journal="Nonlinear Analysis - Modelling and Control",
  year="2005",
  volume="10",
  number="1",
  pages="65--75",
  issn="1392-5113"
}