Graph representation of precision flexure stages and their applications.

Autores
Pucheta , Martín Alejo; Gallardo, Alejandro; González , Rodrigo
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión aceptada
Descripción
Flexure stages are compliant mechanisms that are currently used for achieving the precise tri-dimensional location and manipulation of sensors, micromirrors, laser beams, with application to mechanical and medical devices, optics, robotics, metrology, and other recent applications related to metamaterials design. The topological structures of compliant mechanisms of flexure stages can be represented by graphs. Graphs are useful algebraic structures with a strong mathematical basis and well established computer implementation. The authors have developed several designs of parallel flexures using the Freedom, Actuation and Constraints Topology (FACT) methodology (J. B. Hopkins, Ph.D. Thesis, M.I.T., USA, 2010), which is based on Screw Theory and leads to simple structures with a good performance in accuracy for the small displacements range. In this work, the general graph structure of the compliant mechanisms is firstly presented and some particular cases are then derived, including parallel, serial, and hybrid structures. Also, the graph representation of additional structures used to compensate parasitic errors are presented. Among several applications here enumerated, this represen tation will be used to solve an open problem: to find the relationship between the stiffness matrix and the information related to the orientation of the flexure elements. The applications and this problem are illustrated with designs taken from the literature
Fil: Pucheta, Martín Alejo. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación en Informática para la Ingeniería; Argentina.
Fil: Gallardo, Alejandro. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación en Informática para la Ingeniería; Argentina.
Fil: González, Rodrigo. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación en Informática para la Ingeniería; Argentina.
Fuente
Mecánica Computacional XXXVII, 1535-1535.(2019)
Materia
Flexure stages
Graph Representation
Stiffness Matrix
Parasitic errors compensation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
Attribution-NonCommercial-NoDerivatives 4.0 International
Repositorio
Repositorio Institucional Abierto (UTN)
Institución
Universidad Tecnológica Nacional
OAI Identificador
oai:ria.utn.edu.ar:20.500.12272/13696
Acceder
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network_acronym_str RIAUTN
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network_name_str Repositorio Institucional Abierto (UTN)
spelling Graph representation of precision flexure stages and their applications.Pucheta , Martín AlejoGallardo, AlejandroGonzález , RodrigoFlexure stagesGraph RepresentationStiffness MatrixParasitic errors compensationFlexure stages are compliant mechanisms that are currently used for achieving the precise tri-dimensional location and manipulation of sensors, micromirrors, laser beams, with application to mechanical and medical devices, optics, robotics, metrology, and other recent applications related to metamaterials design. The topological structures of compliant mechanisms of flexure stages can be represented by graphs. Graphs are useful algebraic structures with a strong mathematical basis and well established computer implementation. The authors have developed several designs of parallel flexures using the Freedom, Actuation and Constraints Topology (FACT) methodology (J. B. Hopkins, Ph.D. Thesis, M.I.T., USA, 2010), which is based on Screw Theory and leads to simple structures with a good performance in accuracy for the small displacements range. In this work, the general graph structure of the compliant mechanisms is firstly presented and some particular cases are then derived, including parallel, serial, and hybrid structures. Also, the graph representation of additional structures used to compensate parasitic errors are presented. Among several applications here enumerated, this represen tation will be used to solve an open problem: to find the relationship between the stiffness matrix and the information related to the orientation of the flexure elements. The applications and this problem are illustrated with designs taken from the literatureFil: Pucheta, Martín Alejo. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación en Informática para la Ingeniería; Argentina.Fil: Gallardo, Alejandro. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación en Informática para la Ingeniería; Argentina.Fil: González, Rodrigo. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación en Informática para la Ingeniería; Argentina.Mecánica Computacional.2025-08-25T20:04:02Z2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articulopdfapplication/pdfMecánica Computacional Vol.XXXVII,2019.https://hdl.handle.net/20.500.12272/13696Mecánica Computacional XXXVII, 1535-1535.(2019)reponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacionalenginfo:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Pucheta, Martín Alejo; Gallardo, Alejandro, González, Rodrigo.https://creativecommons.org/licenses/by-nc-nd/4.0/2026-09-24T12:48:26Zoai:ria.utn.edu.ar:20.500.12272/13696instacron:UTNInstitucionalhttp://ria.utn.edu.ar/Universidad públicaNo correspondehttp://ria.utn.edu.ar/oaigestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:a2026-09-24 12:48:26.757Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
dc.title.none.fl_str_mv Graph representation of precision flexure stages and their applications.
title Graph representation of precision flexure stages and their applications.
spellingShingle Graph representation of precision flexure stages and their applications.
Pucheta , Martín Alejo
Flexure stages
Graph Representation
Stiffness Matrix
Parasitic errors compensation
title_short Graph representation of precision flexure stages and their applications.
title_full Graph representation of precision flexure stages and their applications.
title_fullStr Graph representation of precision flexure stages and their applications.
title_full_unstemmed Graph representation of precision flexure stages and their applications.
title_sort Graph representation of precision flexure stages and their applications.
dc.creator.none.fl_str_mv Pucheta , Martín Alejo
Gallardo, Alejandro
González , Rodrigo
author Pucheta , Martín Alejo
author_facet Pucheta , Martín Alejo
Gallardo, Alejandro
González , Rodrigo
author_role author
author2 Gallardo, Alejandro
González , Rodrigo
author2_role author
author
dc.subject.none.fl_str_mv Flexure stages
Graph Representation
Stiffness Matrix
Parasitic errors compensation
topic Flexure stages
Graph Representation
Stiffness Matrix
Parasitic errors compensation
dc.description.none.fl_txt_mv Flexure stages are compliant mechanisms that are currently used for achieving the precise tri-dimensional location and manipulation of sensors, micromirrors, laser beams, with application to mechanical and medical devices, optics, robotics, metrology, and other recent applications related to metamaterials design. The topological structures of compliant mechanisms of flexure stages can be represented by graphs. Graphs are useful algebraic structures with a strong mathematical basis and well established computer implementation. The authors have developed several designs of parallel flexures using the Freedom, Actuation and Constraints Topology (FACT) methodology (J. B. Hopkins, Ph.D. Thesis, M.I.T., USA, 2010), which is based on Screw Theory and leads to simple structures with a good performance in accuracy for the small displacements range. In this work, the general graph structure of the compliant mechanisms is firstly presented and some particular cases are then derived, including parallel, serial, and hybrid structures. Also, the graph representation of additional structures used to compensate parasitic errors are presented. Among several applications here enumerated, this represen tation will be used to solve an open problem: to find the relationship between the stiffness matrix and the information related to the orientation of the flexure elements. The applications and this problem are illustrated with designs taken from the literature
Fil: Pucheta, Martín Alejo. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación en Informática para la Ingeniería; Argentina.
Fil: Gallardo, Alejandro. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación en Informática para la Ingeniería; Argentina.
Fil: González, Rodrigo. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación en Informática para la Ingeniería; Argentina.
description Flexure stages are compliant mechanisms that are currently used for achieving the precise tri-dimensional location and manipulation of sensors, micromirrors, laser beams, with application to mechanical and medical devices, optics, robotics, metrology, and other recent applications related to metamaterials design. The topological structures of compliant mechanisms of flexure stages can be represented by graphs. Graphs are useful algebraic structures with a strong mathematical basis and well established computer implementation. The authors have developed several designs of parallel flexures using the Freedom, Actuation and Constraints Topology (FACT) methodology (J. B. Hopkins, Ph.D. Thesis, M.I.T., USA, 2010), which is based on Screw Theory and leads to simple structures with a good performance in accuracy for the small displacements range. In this work, the general graph structure of the compliant mechanisms is firstly presented and some particular cases are then derived, including parallel, serial, and hybrid structures. Also, the graph representation of additional structures used to compensate parasitic errors are presented. Among several applications here enumerated, this represen tation will be used to solve an open problem: to find the relationship between the stiffness matrix and the information related to the orientation of the flexure elements. The applications and this problem are illustrated with designs taken from the literature
publishDate 2019
dc.date.none.fl_str_mv 2019
2025-08-25T20:04:02Z
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv Mecánica Computacional Vol.XXXVII,2019.
https://hdl.handle.net/20.500.12272/13696
identifier_str_mv Mecánica Computacional Vol.XXXVII,2019.
url https://hdl.handle.net/20.500.12272/13696
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Pucheta, Martín Alejo; Gallardo, Alejandro, González, Rodrigo.
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Pucheta, Martín Alejo; Gallardo, Alejandro, González, Rodrigo.
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.format.none.fl_str_mv pdf
application/pdf
dc.publisher.none.fl_str_mv Mecánica Computacional.
publisher.none.fl_str_mv Mecánica Computacional.
dc.source.none.fl_str_mv Mecánica Computacional XXXVII, 1535-1535.(2019)
reponame:Repositorio Institucional Abierto (UTN)
instname:Universidad Tecnológica Nacional
reponame_str Repositorio Institucional Abierto (UTN)
collection Repositorio Institucional Abierto (UTN)
instname_str Universidad Tecnológica Nacional
repository.name.fl_str_mv Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacional
repository.mail.fl_str_mv gestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.ar
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score 13.265058

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