Publication detail

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

SADÍLEK, V. VOŘECHOVSKÝ, M.

Original Title

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

Type

conference paper

Language

English

Original Abstract

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.

Keywords

Daniels bundle model; equal load sharing; Python; mpmath

Authors

SADÍLEK, V.; VOŘECHOVSKÝ, M.

RIV year

2015

Released

21. 6. 2015

Publisher

World Academy of Science, Engineering and Technology

Location

Vienna, Austria

ISBN

1307-6892

Periodical

World Academy of Science, Engineering and Technology

Year of study

9

Number

6

State

Republic of Turkey

Pages from

908

Pages to

912

Pages count

4

URL

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

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"
}