Detail publikačního výsledku

Implementation of the Recursive Formula for Evaluation of the Strength of Daniels' Model

SADÍLEK, V.; VOŘECHOVSKÝ, M.

Originální název

Implementation of the Recursive Formula for Evaluation of the Strength of Daniels' Model

Anglický název

Implementation of the Recursive Formula for Evaluation of the Strength of Daniels' Model

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

The paper deals with the classical fiber bundle model of equal load sharing, sometimes referred to as the Daniels' bundle or the democratic bundle. Daniels formulated a multidimensional integral and also a recursive formula for evaluation of the strength cumulative distribution function. This paper describes three algorithms for evaluation of the recursive formula and also their implementations with source codes in the Python high-level programming language. A comparison of the algorithms are provided with respect to execution time. Analysis of orders of magnitudes of addends in the recursion is also provided.

Anglický abstrakt

The paper deals with the classical fiber bundle model of equal load sharing, sometimes referred to as the Daniels' bundle or the democratic bundle. Daniels formulated a multidimensional integral and also a recursive formula for evaluation of the strength cumulative distribution function. This paper describes three algorithms for evaluation of the recursive formula and also their implementations with source codes in the Python high-level programming language. A comparison of the algorithms are provided with respect to execution time. Analysis of orders of magnitudes of addends in the recursion is also provided.

Klíčová slova

Daniels bundle model; equal load sharing; Python; mpmath

Klíčová slova v angličtině

Daniels bundle model; equal load sharing; Python; mpmath

Autoři

SADÍLEK, V.; VOŘECHOVSKÝ, M.

Rok RIV

2016

Vydáno

21.06.2015

Nakladatel

World Academy of Science, Engineering and Technology

Místo

Vienna, Austria

Kniha

International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering

Edice

9

ISSN

1307-6892

Periodikum

World Academy of Science, Engineering and Technology

Svazek

9

Číslo

6

Stát

Turecká republika

Strany od

908

Strany do

912

Strany počet

4

URL

http://waset.org/Publications?p=102

Plný text v Digitální knihovně

http://hdl.handle.net/

BibTex

@inproceedings{BUT118937,
  author="Václav {Sadílek} and Miroslav {Vořechovský}",
  title="Implementation of the Recursive Formula for  Evaluation of the Strength of Daniels' Model",
  booktitle="International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering",
  year="2015",
  series="9",
  journal="World Academy of Science, Engineering and Technology",
  volume="9",
  number="6",
  pages="908--912",
  publisher="World Academy of Science, Engineering and Technology",
  address="Vienna, Austria",
  issn="1307-6892",
  url="http://waset.org/Publications?p=102"
}