Formation of Moments Influence Matrix in Frame Based on Graph of its Design Scheme

A procedure is proposed for the automated construction of the bending moments influence matrix in the frame based on the graph of its discrete model. Forming the incidence matrix of the graph characterizing the topological structure of the design scheme of the frame, through matrix transformations o...

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Autores principales:	Monakhov V.А., Shein А.I.
Formato:	article
Lenguaje:	EN FR
Publicado:	EDP Sciences 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/63361557a9a1499693d1dd5e25ad107e
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spelling	oai:doaj.org-article:63361557a9a1499693d1dd5e25ad107e2021-11-08T15:20:33ZFormation of Moments Influence Matrix in Frame Based on Graph of its Design Scheme2261-236X10.1051/matecconf/202134603087https://doaj.org/article/63361557a9a1499693d1dd5e25ad107e2021-01-01T00:00:00Zhttps://www.matec-conferences.org/articles/matecconf/pdf/2021/15/matecconf_icmtmte2021_03087.pdfhttps://doaj.org/toc/2261-236XA procedure is proposed for the automated construction of the bending moments influence matrix in the frame based on the graph of its discrete model. Forming the incidence matrix of the graph characterizing the topological structure of the design scheme of the frame, through matrix transformations of the displacement vectors, at the transition from local coordinate systems to a global system, it is possible to establish the relationship between the nodal displacements and the displacement increments of individual sections in the direction of the axis of the segment and perpendicular to it. The composition of only three initial matrices of the frame structure, the incidence matrix of the graph, the node coordinate matrix and the matrix of the frame model internal rigidity, solves the problem of automatic formation of the bending moments influence matrix with the help of a PC. The procedure proposed for the construction of the influence matrix, makes it possible to find the forces in the frame structure caused by external load, in the matrix form.Monakhov V.А.Shein А.I.EDP SciencesarticleEngineering (General). Civil engineering (General)TA1-2040ENFRMATEC Web of Conferences, Vol 346, p 03087 (2021)
institution	DOAJ
collection	DOAJ
language	EN FR
topic	Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Monakhov V.А. Shein А.I. Formation of Moments Influence Matrix in Frame Based on Graph of its Design Scheme
description	A procedure is proposed for the automated construction of the bending moments influence matrix in the frame based on the graph of its discrete model. Forming the incidence matrix of the graph characterizing the topological structure of the design scheme of the frame, through matrix transformations of the displacement vectors, at the transition from local coordinate systems to a global system, it is possible to establish the relationship between the nodal displacements and the displacement increments of individual sections in the direction of the axis of the segment and perpendicular to it. The composition of only three initial matrices of the frame structure, the incidence matrix of the graph, the node coordinate matrix and the matrix of the frame model internal rigidity, solves the problem of automatic formation of the bending moments influence matrix with the help of a PC. The procedure proposed for the construction of the influence matrix, makes it possible to find the forces in the frame structure caused by external load, in the matrix form.
format	article
author	Monakhov V.А. Shein А.I.
author_facet	Monakhov V.А. Shein А.I.
author_sort	Monakhov V.А.
title	Formation of Moments Influence Matrix in Frame Based on Graph of its Design Scheme
title_short	Formation of Moments Influence Matrix in Frame Based on Graph of its Design Scheme
title_full	Formation of Moments Influence Matrix in Frame Based on Graph of its Design Scheme
title_fullStr	Formation of Moments Influence Matrix in Frame Based on Graph of its Design Scheme
title_full_unstemmed	Formation of Moments Influence Matrix in Frame Based on Graph of its Design Scheme
title_sort	formation of moments influence matrix in frame based on graph of its design scheme
publisher	EDP Sciences
publishDate	2021
url	https://doaj.org/article/63361557a9a1499693d1dd5e25ad107e
work_keys_str_mv	AT monakhovva formationofmomentsinfluencematrixinframebasedongraphofitsdesignscheme AT sheinai formationofmomentsinfluencematrixinframebasedongraphofitsdesignscheme
_version_	1718441755664187392

Formation of Moments Influence Matrix in Frame Based on Graph of its Design Scheme

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