Publication detail

Sobol's Sensitivity Indices in Applications to Stability Problems of Steel Structures

KALA, Z.

Original Title

Sobol's Sensitivity Indices in Applications to Stability Problems of Steel Structures

Type

conference paper

Language

English

Original Abstract

A brief summary of the history and of traditional methods of sensitivity analysis including their advantages and disadvantages are listed in the introduction of this article. The basis of the decomposition theorem of the response function and basic ideas from which Sobol's sensitivity analysis is derived are listed. The advantages of Sobol's sensitivity analysis and the most important properties of Sobol's sensitivity indices are described. Sobol's sensitivity indices are supplemented with a lucid elaboration based on the Monte Carlo method. The numerical demanding of the evaluation of Sobol's sensitivity indices is discussed. Methodology in the case of numerically demanding computational models is proposed. A numerical example on the sensitivity analysis of the load carrying capacity of a steel strut is listed. Sobol's first order sensitivity indices are evaluated in dependence to the nondimensional slenderness. Imperfections that have a dominant influence on the load carrying capacity are identified.

Keywords

sensitivity, steel, stability, imperfections, uncertainty, statistic, variance, simulation, random, fuzzy

Authors

KALA, Z.

RIV year

2007

Released

7. 12. 2007

Location

Waršava, Polsko

ISBN

978-83-924884-1-5

Book

Lightweight structures in civil engineering

Pages from

44

Pages to

48

Pages count

5

BibTex

@inproceedings{BUT28881,
  author="Zdeněk {Kala}",
  title="Sobol's Sensitivity Indices in Applications to Stability Problems of Steel Structures",
  booktitle="Lightweight structures in civil engineering",
  year="2007",
  pages="44--48",
  address="Waršava, Polsko",
  isbn="978-83-924884-1-5"
}