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Gröbner bases in truss problems with maple
This item is provided by the institution :
National Technical University of Athens
Repository :
Digital Library of National Technical University of Athens | Dspace@NTUA
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ΕΚΤ item type
Journal part
(EN)
Scientific article
(EN)
EKT year
1994
(EN)
EKT historical period
Title
Gröbner bases in truss problems with maple (EN)
Creator
Anastasselou, EG (EN)
Ioakimidis, NI (EN)
Description
The well-known method of Gröbner bases in computer algebra can be used in elementary truss problems, where the appearance of sine and cosine terms because of the angles of the bars of the truss to the Ox-axis (beyond the magnitudes of the forces in these bars) make the problem nonlinear. A simple truss is used for an illustration of the method during the determination of two angles in such a way that the forces in two bars have values given in advance. Similarly, it is observed, again by using Gröbner bases, that the force equations at each joint of a loaded truss and the equation for the reactions of the truss are compatible. The whole approach seems to be one more application of Gröbner bases related to their applications in nonlinear computational geometry. The computer algebra system Maple V has been used in the present application of Gröbner bases. © 1994. (EN)
Type
journalArticle (EN)
Subject
Computer Science, Interdisciplinary Applications (EN)
Nonlinear equations (EN)
Algorithms (EN)
Software package Maple V (EN)
Grobner bases (EN)
Engineering, Civil (EN)
Vectors (EN)
Boolean algebra (EN)
Computer aided analysis (EN)
Trusses (EN)
Structural analysis (EN)
Provider
National Technical University of Athens
Repository / collection
Digital Library of National Technical University of Athens | Dspace@NTUA
Subcollections
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal
Computers and Structures (EN)
Language
English
Issued
1994 (EN)
Identifier
http://hdl.handle.net/123456789/11240
10.1016/0045-7949(94)90093-0 (EN)
ISI:A1994PF92700024 (EN)
0045-7949 (EN)
5 (EN)
1096 (EN)
52 (EN)
1093 (EN)
Publisher
PERGAMON-ELSEVIER SCIENCE LTD (EN)
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