Probabilistic Calculation of Tolerances of the Dimension Chain Based on the Floyd-warshall Algorithm

Bibliographic Details
Parent link:Procedia Engineering
Vol. 152 : 2nd International Conference on Industrial Engineering (ICIE-2016).— 2016.— [P. 959-962]
Main Author: Mukholzoev A. V. Andrey Vladimirovich
Corporate Author: Национальный исследовательский Томский политехнический университет (ТПУ) Институт кибернетики (ИК) Кафедра технологии автоматизированного машиностроительного производства (ТАМП)
Other Authors: Masyagin V. B. Vasily Borisovich
Summary:Title screen
The tolerance analysis of the technological processes in mechanical engineering is a time-consuming task requiring automation. Development of an algorithm to identify individual dimension chains makes this task even more difficult. Based upon this, one must create an algorithm to avoid the difficulties of the algorithmization procedure. An approach to the calculation of the probability of closing tolerance units is based on the Floyd-Warshall algorithm – a classical algorithm of the graph theory, which calculates the length of the paths in the graph by adding the lengths of the links in pairs. The algorithm allows calculation without identifying individual dimension chains solving the entire structure of the complex. This approach can significantly simplify the implementation of the computer-aided calculation of dimensional circuits.
Published: 2016
Subjects:
Online Access:http://dx.doi.org/10.1016/j.proeng.2016.07.070
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=650717
Description
Summary:Title screen
The tolerance analysis of the technological processes in mechanical engineering is a time-consuming task requiring automation. Development of an algorithm to identify individual dimension chains makes this task even more difficult. Based upon this, one must create an algorithm to avoid the difficulties of the algorithmization procedure. An approach to the calculation of the probability of closing tolerance units is based on the Floyd-Warshall algorithm – a classical algorithm of the graph theory, which calculates the length of the paths in the graph by adding the lengths of the links in pairs. The algorithm allows calculation without identifying individual dimension chains solving the entire structure of the complex. This approach can significantly simplify the implementation of the computer-aided calculation of dimensional circuits.
DOI:10.1016/j.proeng.2016.07.070