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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
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" }