Closed-form position analysis of variable geometry trusses

© <year>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/

Detalhes bibliográficos
Autores: Porta Pleite, Josep Maria|||0000-0002-5056-1717, Thomas, Federico|||0000-0001-9341-5528
Tipo de documento: artigo
Data de publicação:2017
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2117/116539
Acesso em linha:https://hdl.handle.net/2117/116539
https://dx.doi.org/10.1016/j.mechmachtheory.2016.11.004
Access Level:Acceso aberto
Palavra-chave:Variable geometry trusses
Position analysis
Bipyramids
Fans of tetrahedra
Coordinate-free formulations
Distance-based formulations
Classificació INSPEC::Optimisation::Mathematical programming::Geometric programming
Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
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spelling Closed-form position analysis of variable geometry trussesPorta Pleite, Josep Maria|||0000-0002-5056-1717Thomas, Federico|||0000-0001-9341-5528Variable geometry trussesPosition analysisBipyramidsFans of tetrahedraCoordinate-free formulationsDistance-based formulationsClassificació INSPEC::Optimisation::Mathematical programming::Geometric programmingÀrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional© <year>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/Variable geometry trusses are composed, in general, of unit cells which can be modeled as bars connected by spherical joints. Under mild conditions, it has been shown that the only feasible cells are topologically equivalent to bipyramids. Unfortunately, using standard formulations, the closed-form position analysis of bipyramids is not a trivial task. Actually, it has only been achieved for bipyramids with up to 7 vertices, whose closure polynomial has been shown to be of order 24. In this paper, using a distance-based formulation and a kinematic inversion for fans of tetrahedra, the problem is solved for bipyramids with up to 11 vertices, whose closure polynomial is of degree 896. No other position analysis problem leading to such a high-order closure polynomial has been previously solved.Peer Reviewed20172017-03-0120182018-04-23journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/116539https://dx.doi.org/10.1016/j.mechmachtheory.2016.11.004reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1165392026-05-27T15:37:01Z
dc.title.none.fl_str_mv Closed-form position analysis of variable geometry trusses
title Closed-form position analysis of variable geometry trusses
spellingShingle Closed-form position analysis of variable geometry trusses
Porta Pleite, Josep Maria|||0000-0002-5056-1717
Variable geometry trusses
Position analysis
Bipyramids
Fans of tetrahedra
Coordinate-free formulations
Distance-based formulations
Classificació INSPEC::Optimisation::Mathematical programming::Geometric programming
Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
title_short Closed-form position analysis of variable geometry trusses
title_full Closed-form position analysis of variable geometry trusses
title_fullStr Closed-form position analysis of variable geometry trusses
title_full_unstemmed Closed-form position analysis of variable geometry trusses
title_sort Closed-form position analysis of variable geometry trusses
dc.creator.none.fl_str_mv Porta Pleite, Josep Maria|||0000-0002-5056-1717
Thomas, Federico|||0000-0001-9341-5528
author Porta Pleite, Josep Maria|||0000-0002-5056-1717
author_facet Porta Pleite, Josep Maria|||0000-0002-5056-1717
Thomas, Federico|||0000-0001-9341-5528
author_role author
author2 Thomas, Federico|||0000-0001-9341-5528
author2_role author
dc.subject.none.fl_str_mv Variable geometry trusses
Position analysis
Bipyramids
Fans of tetrahedra
Coordinate-free formulations
Distance-based formulations
Classificació INSPEC::Optimisation::Mathematical programming::Geometric programming
Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
topic Variable geometry trusses
Position analysis
Bipyramids
Fans of tetrahedra
Coordinate-free formulations
Distance-based formulations
Classificació INSPEC::Optimisation::Mathematical programming::Geometric programming
Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
description © <year>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-03-01
2018
2018-04-23
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/116539
https://dx.doi.org/10.1016/j.mechmachtheory.2016.11.004
url https://hdl.handle.net/2117/116539
https://dx.doi.org/10.1016/j.mechmachtheory.2016.11.004
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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