Behaviour of the contact trace in a cam-follower system when the displacement law has been designed using bézier curves

The study shows the distribution of the contact trace in a cam - follower mechanism in which the Bézier curves of degrees 5, 7 and 9 have been used for the design of displacement of the follower. The equations that describe the movement of the follower and its derivatives are presented, the expressi...

Full description

Autores:
Acevedo Peñaloza, Carlos Humberto
Henao Leon, Diego
Rojas Suárez, Jhan Piero
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Francisco de Paula Santander
Repositorio:
Repositorio Digital UFPS
Idioma:
eng
OAI Identifier:
oai:repositorio.ufps.edu.co:ufps/551
Acceso en línea:
http://repositorio.ufps.edu.co/handle/ufps/551
https://doi.org/10.12988/ces.2018.89508
Palabra clave:
contact trace
contact force
displacement law
Bézier's curves
Rights
openAccess
License
Atribución 4.0 Internacional (CC BY 4.0)
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dc.title.eng.fl_str_mv Behaviour of the contact trace in a cam-follower system when the displacement law has been designed using bézier curves
title Behaviour of the contact trace in a cam-follower system when the displacement law has been designed using bézier curves
spellingShingle Behaviour of the contact trace in a cam-follower system when the displacement law has been designed using bézier curves
contact trace
contact force
displacement law
Bézier's curves
title_short Behaviour of the contact trace in a cam-follower system when the displacement law has been designed using bézier curves
title_full Behaviour of the contact trace in a cam-follower system when the displacement law has been designed using bézier curves
title_fullStr Behaviour of the contact trace in a cam-follower system when the displacement law has been designed using bézier curves
title_full_unstemmed Behaviour of the contact trace in a cam-follower system when the displacement law has been designed using bézier curves
title_sort Behaviour of the contact trace in a cam-follower system when the displacement law has been designed using bézier curves
dc.creator.fl_str_mv Acevedo Peñaloza, Carlos Humberto
Henao Leon, Diego
Rojas Suárez, Jhan Piero
dc.contributor.author.none.fl_str_mv Acevedo Peñaloza, Carlos Humberto
Henao Leon, Diego
Rojas Suárez, Jhan Piero
dc.subject.proposal.eng.fl_str_mv contact trace
contact force
displacement law
Bézier's curves
topic contact trace
contact force
displacement law
Bézier's curves
description The study shows the distribution of the contact trace in a cam - follower mechanism in which the Bézier curves of degrees 5, 7 and 9 have been used for the design of displacement of the follower. The equations that describe the movement of the follower and its derivatives are presented, the expressions are formulated for the contact trace, the force exerted on the mechanical assembly are formulated and the results obtained are presented in a model mechanism.
publishDate 2018
dc.date.issued.none.fl_str_mv 2018-11-06
dc.date.accessioned.none.fl_str_mv 2021-10-31T19:12:25Z
dc.date.available.none.fl_str_mv 2021-10-31T19:12:25Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
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dc.identifier.uri.none.fl_str_mv http://repositorio.ufps.edu.co/handle/ufps/551
dc.identifier.doi.none.fl_str_mv https://doi.org/10.12988/ces.2018.89508
url http://repositorio.ufps.edu.co/handle/ufps/551
https://doi.org/10.12988/ces.2018.89508
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Contemporary Engineering Sciences
dc.relation.citationedition.spa.fl_str_mv Vol.11 No.93.(2018)
dc.relation.citationendpage.spa.fl_str_mv 4615
dc.relation.citationissue.spa.fl_str_mv 93(2018)
dc.relation.citationstartpage.spa.fl_str_mv 4607
dc.relation.citationvolume.spa.fl_str_mv 11
dc.relation.cites.none.fl_str_mv Peñaloza, C. A., León, D. H., & Suarez, P. R. (2018). Behaviour of the Contact Trace in a Cam-Follower System When the Displacement Law Has Been Designed Using Bézier Curves.
dc.relation.ispartofjournal.spa.fl_str_mv Contemporary Engineering Sciences
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.creativecommons.spa.fl_str_mv Atribución 4.0 Internacional (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv Atribución 4.0 Internacional (CC BY 4.0)
http://purl.org/coar/access_right/c_abf2
dc.format.extent.spa.fl_str_mv 09 páginas
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Contemporary Engineering Sciences
dc.publisher.place.spa.fl_str_mv Bulgaria
dc.source.spa.fl_str_mv http://www.m-hikari.com/ces/ces2018/ces93-96-2018/89508.html
institution Universidad Francisco de Paula Santander
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spelling Acevedo Peñaloza, Carlos Humberto1f12a99f8d5bcc67d1eb10c7c07c76a3600Henao Leon, Diego23baf9d133a0c63ac0e57e53f0b186f5600Rojas Suárez, Jhan Piero96cb752d974d2a7f4f66513af6ebbf8d6002021-10-31T19:12:25Z2021-10-31T19:12:25Z2018-11-06http://repositorio.ufps.edu.co/handle/ufps/551https://doi.org/10.12988/ces.2018.89508The study shows the distribution of the contact trace in a cam - follower mechanism in which the Bézier curves of degrees 5, 7 and 9 have been used for the design of displacement of the follower. The equations that describe the movement of the follower and its derivatives are presented, the expressions are formulated for the contact trace, the force exerted on the mechanical assembly are formulated and the results obtained are presented in a model mechanism.09 páginasapplication/pdfengContemporary Engineering SciencesBulgariaContemporary Engineering SciencesVol.11 No.93.(2018)461593(2018)460711Peñaloza, C. A., León, D. H., & Suarez, P. R. (2018). Behaviour of the Contact Trace in a Cam-Follower System When the Displacement Law Has Been Designed Using Bézier Curves.Contemporary Engineering Sciences© 2018 Carlos Acevedo Penaloza, Diego Henao Leon and Piero Rojas Suarez. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.info:eu-repo/semantics/openAccessAtribución 4.0 Internacional (CC BY 4.0)http://purl.org/coar/access_right/c_abf2http://www.m-hikari.com/ces/ces2018/ces93-96-2018/89508.htmlBehaviour of the contact trace in a cam-follower system when the displacement law has been designed using bézier curvesArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85contact tracecontact forcedisplacement lawBézier's curvesAcevedo Peñaloza, Carlos Humberto, Estudio del Ángulo de Presión y Presión de Contacto en Mecanismos de Levas de Seguimiento cuya Ley de Desplazamiento ha sido Diseñada por Bézier Curves, PhD Tesis, Universidad Politécnica de Cataluña, 2005.C. Acevedo Peñaloza, E. Zayas, S. Cardona, Introducción al diseño de perfil de levas por curvas de Bézier, Revista Respuestas, 9 (2004), no. 1, 33-44.S. Cardona, D. Clos, Teoria de Màquines, (Segunda Edición en catalán). Ediciones UPC. Barcelona. 2000.David Myszka, Machines and Mechanisms, Pearson Educación. México, 2011.R.C. Juvinall, Engineering Considations of Stress, Strain an Strength, McGraw-Hill College, 1967.M.P. Koster, Vibrations of Cam Mechanisms. Phillips Technical Library Seris, Macmillan Press, 1974.R. Norton, Diseño de Maquinaria. Mc Graw-Hill. México, 1995.G. Reyes Pozo, Computer Aided Geometric Design Techniques for CamFollower Mechanisms, PhD Tesis, Universidad Politécnica de Cataluña, 2000.J. E. Shigley, J. J. Uicker Jr., Theory of Mechanisms and Machines, Mc GrawHill. México, 1988.S. Timoshencko, J. 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using Bezier curves.pdf.txtExtracted texttext/plain13866https://repositorio.ufps.edu.co/bitstream/ufps/551/3/Behaviour%20of%20the%20contact%20trace%20in%20a%20cam-follower%20system%20when%20the%20displacement%20law%20has%20been%20designed%20using%20Bezier%20curves.pdf.txt4c655fa1358553fa1af9142f70f57e62MD53open accessTHUMBNAILBehaviour of the contact trace in a cam-follower system when the displacement law has been designed using Bezier curves.pdf.jpgBehaviour of the contact trace in a cam-follower system when the displacement law has been designed using Bezier curves.pdf.jpgGenerated Thumbnailimage/jpeg12661https://repositorio.ufps.edu.co/bitstream/ufps/551/4/Behaviour%20of%20the%20contact%20trace%20in%20a%20cam-follower%20system%20when%20the%20displacement%20law%20has%20been%20designed%20using%20Bezier%20curves.pdf.jpg815e6e48a044b88ed7f8e6fed7952625MD54open accessufps/551oai:repositorio.ufps.edu.co:ufps/5512022-05-23 10:48:10.418open accessRepositorio Universidad Francisco de Paula 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 incorporada en las Obras Colectivas.

b.	Distribuir copias o fonogramas de las Obras, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública, incluyéndolas como incorporadas en Obras Colectivas, según corresponda.

c.	Distribuir copias de las Obras Derivadas que se generen, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública.
Los derechos mencionados anteriormente pueden ser ejercidos en todos los medios y formatos, actualmente conocidos o que se inventen en el futuro. Los derechos antes mencionados incluyen el derecho a realizar dichas modificaciones en la medida que sean técnicamente necesarias para ejercer los derechos en otro medio o formatos, pero de otra manera usted no está autorizado para realizar obras derivadas. Todos los derechos no otorgados expresamente por el Licenciante quedan por este medio reservados, incluyendo pero sin limitarse a aquellos que se mencionan en las secciones 4(d) y 4(e).

4. Restricciones.
La licencia otorgada en la anterior Sección 3 está expresamente sujeta y limitada por las siguientes restricciones:

a.	Usted puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra sólo bajo las condiciones de esta Licencia, y Usted debe incluir una copia de esta licencia o del Identificador Universal de Recursos de la misma con cada copia de la Obra que distribuya, exhiba públicamente, ejecute públicamente o ponga a disposición pública. No es posible ofrecer o imponer ninguna condición sobre la Obra que altere o limite las condiciones de esta Licencia o el ejercicio de los derechos de los destinatarios otorgados en este documento. No es posible sublicenciar la Obra. Usted debe mantener intactos todos los avisos que hagan referencia a esta Licencia y a la cláusula de limitación de garantías. Usted no puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra con alguna medida tecnológica que controle el acceso o la utilización de ella de una forma que sea inconsistente con las condiciones de esta Licencia. Lo anterior se aplica a la Obra incorporada a una Obra Colectiva, pero esto no exige que la Obra Colectiva aparte de la obra misma quede sujeta a las condiciones de esta Licencia. Si Usted crea una Obra Colectiva, previo aviso de cualquier Licenciante debe, en la medida de lo posible, eliminar de la Obra Colectiva cualquier referencia a dicho Licenciante o al Autor Original, según lo solicitado por el Licenciante y conforme lo exige la cláusula 4(c).

b.	Usted no puede ejercer ninguno de los derechos que le han sido otorgados en la Sección 3 precedente de modo que estén principalmente destinados o directamente dirigidos a conseguir un provecho comercial o una compensación monetaria privada. El intercambio de la Obra por otras obras protegidas por derechos de autor, ya sea a través de un sistema para compartir archivos digitales (digital file-sharing) o de cualquier otra manera no será considerado como estar destinado principalmente o dirigido directamente a conseguir un provecho comercial o una compensación monetaria privada, siempre que no se realice un pago mediante una compensación monetaria en relación con el intercambio de obras protegidas por el derecho de autor.

c.	Si usted distribuye, exhibe públicamente, ejecuta públicamente o ejecuta públicamente en forma digital la Obra o cualquier Obra Derivada u Obra Colectiva, Usted debe mantener intacta toda la información de derecho de autor de la Obra y proporcionar, de forma razonable según el medio o manera que Usted esté utilizando: (i) el nombre del Autor Original si está provisto (o seudónimo, si fuere aplicable), y/o (ii) el nombre de la parte o las partes que el Autor Original y/o el Licenciante hubieren designado para la atribución (v.g., un instituto patrocinador, editorial, publicación) en la información de los derechos de autor del Licenciante, términos de servicios o de otras formas razonables; el título de la Obra si está provisto; en la medida de lo razonablemente factible y, si está provisto, el Identificador Uniforme de Recursos (Uniform Resource Identifier) que el Licenciante especifica para ser asociado con la Obra, salvo que tal URI no se refiera a la nota sobre los derechos de autor o a la información sobre el licenciamiento de la Obra; y en el caso de una Obra Derivada, atribuir el crédito identificando el uso de la Obra en la Obra Derivada (v.g., "Traducción Francesa de la Obra del Autor Original," o "Guión Cinematográfico basado en la Obra original del Autor Original"). Tal crédito puede ser implementado de cualquier forma razonable; en el caso, sin embargo, de Obras Derivadas u Obras Colectivas, tal crédito aparecerá, como mínimo, donde aparece el crédito de cualquier otro autor comparable y de una manera, al menos, tan destacada como el crédito de otro autor comparable.

d.	Para evitar toda confusión, el Licenciante aclara que, cuando la obra es una composición musical:

i.	Regalías por interpretación y ejecución bajo licencias generales. El Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública o la ejecución pública digital de la obra y de recolectar, sea individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, SAYCO), las regalías por la ejecución pública o por la ejecución pública digital de la obra (por ejemplo Webcast) licenciada bajo licencias generales, si la interpretación o ejecución de la obra está primordialmente orientada por o dirigida a la obtención de una ventaja comercial o una compensación monetaria privada.

ii.	Regalías por Fonogramas. El Licenciante se reserva el derecho exclusivo de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, los consagrados por la SAYCO), una agencia de derechos musicales o algún agente designado, las regalías por cualquier fonograma que Usted cree a partir de la obra (“versión cover”) y distribuya, en los términos del régimen de derechos de autor, si la creación o distribución de esa versión cover está primordialmente destinada o dirigida a obtener una ventaja comercial o una compensación monetaria privada.

e.	Gestión de Derechos de Autor sobre Interpretaciones y Ejecuciones Digitales (WebCasting). Para evitar toda confusión, el Licenciante aclara que, cuando la obra sea un fonograma, el Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública digital de la obra (por ejemplo, webcast) y de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, ACINPRO), las regalías por la ejecución pública digital de la obra (por ejemplo, webcast), sujeta a las disposiciones aplicables del régimen de Derecho de Autor, si esta ejecución pública digital está primordialmente dirigida a obtener una ventaja comercial o una compensación monetaria privada.

5. Representaciones, Garantías y Limitaciones de Responsabilidad.
A MENOS QUE LAS PARTES LO ACORDARAN DE OTRA FORMA POR ESCRITO, EL LICENCIANTE OFRECE LA OBRA (EN EL ESTADO EN EL QUE SE ENCUENTRA) “TAL CUAL”, SIN BRINDAR GARANTÍAS DE CLASE ALGUNA RESPECTO DE LA OBRA, YA SEA EXPRESA, IMPLÍCITA, LEGAL O CUALQUIERA OTRA, INCLUYENDO, SIN LIMITARSE A ELLAS, GA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