Document details - A numerical model for the analysis of the bearings of a diesel engine subjected to conditions of wear and misalignment

In the present work, a numerical model is developed to investigate the influence of wear and misalignment on the bearings of a stationary diesel engine. The model implemented considers the effects of surface wear on the bearing, cavitation effects, and surface roughness. For the numerical analysis,...

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Autores:
Pardo García, Carlos Eduardo
Rojas Suárez, Jhan Piero
Orjuela Abril, Martha Sofia
Tipo de recurso:
Article of journal
Fecha de publicación:
2021
Institución:
Universidad Francisco de Paula Santander
Repositorio:
Repositorio Digital UFPS
Idioma:
eng
OAI Identifier:
oai:repositorio.ufps.edu.co:ufps/6622
Acceso en línea:
https://repositorio.ufps.edu.co/handle/ufps/6622
https://doi.org/10.3390/lubricants9040042
Palabra clave:
engine bearings
deflection angle
misalignment
surface roughness
Rights
openAccess
License
https://creativecommons.org/licenses/by/4.0/
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dc.title.eng.fl_str_mv Document details - A numerical model for the analysis of the bearings of a diesel engine subjected to conditions of wear and misalignment
title Document details - A numerical model for the analysis of the bearings of a diesel engine subjected to conditions of wear and misalignment
spellingShingle Document details - A numerical model for the analysis of the bearings of a diesel engine subjected to conditions of wear and misalignment
engine bearings
deflection angle
misalignment
surface roughness
title_short Document details - A numerical model for the analysis of the bearings of a diesel engine subjected to conditions of wear and misalignment
title_full Document details - A numerical model for the analysis of the bearings of a diesel engine subjected to conditions of wear and misalignment
title_fullStr Document details - A numerical model for the analysis of the bearings of a diesel engine subjected to conditions of wear and misalignment
title_full_unstemmed Document details - A numerical model for the analysis of the bearings of a diesel engine subjected to conditions of wear and misalignment
title_sort Document details - A numerical model for the analysis of the bearings of a diesel engine subjected to conditions of wear and misalignment
dc.creator.fl_str_mv Pardo García, Carlos Eduardo
Rojas Suárez, Jhan Piero
Orjuela Abril, Martha Sofia
dc.contributor.author.none.fl_str_mv Pardo García, Carlos Eduardo
Rojas Suárez, Jhan Piero
Orjuela Abril, Martha Sofia
dc.contributor.corporatename.spa.fl_str_mv Lubricants
dc.subject.proposal.eng.fl_str_mv engine bearings
deflection angle
misalignment
surface roughness
topic engine bearings
deflection angle
misalignment
surface roughness
description In the present work, a numerical model is developed to investigate the influence of wear and misalignment on the bearings of a stationary diesel engine. The model implemented considers the effects of surface wear on the bearing, cavitation effects, and surface roughness. For the numerical analysis, changes in the surface roughness of σ = 0.75 µm, σ = 1 µm, and σ = 1.25 µm are defined, and changes in the bearing load of 50%, 75%, and 100%. The results demonstrated that increasing the surface roughness intensifies the bearing wear, which represents 18% and 140% of the bearing clearance for the roughness of σ = 1 µm and σ = 1.25 µm, respectively. Additionally, the surface roughness causes a considerable increase in the bearing wear rate. The results described a maximum wear rate of 20 µm/s. In general, increasing the bearing load by 25% doubles the hydrodynamic pressure conditions increases friction force by 33%, and reduces lubrication film thickness by 12%. The analysis of the angle of deflection, φx and φy, shows that the moment and the degree of misalignment tend to increase significantly with the increase in the magnitude of the angle φy. Negative angles of deflection, φx, produce a greater increase in the degree of misalignment and the moment. This implies a greater chance of contact with the bearing surface. In conclusion, the proposed methodology serves as a reliable tool to simultaneously evaluate key parameters on the tribological behavior of bearings that further extend their endurance and minimize wear damage.
publishDate 2021
dc.date.issued.none.fl_str_mv 2021-04-09
dc.date.accessioned.none.fl_str_mv 2022-11-28T13:49:06Z
dc.date.available.none.fl_str_mv 2022-11-28T13:49:06Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.uri.none.fl_str_mv https://repositorio.ufps.edu.co/handle/ufps/6622
dc.identifier.doi.none.fl_str_mv https://doi.org/10.3390/lubricants9040042
url https://repositorio.ufps.edu.co/handle/ufps/6622
https://doi.org/10.3390/lubricants9040042
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Lubricants. Vol. 9 N°.4. (2021)
dc.relation.citationedition.spa.fl_str_mv Vol.9 N°.4. (2021)
dc.relation.citationendpage.spa.fl_str_mv 22
dc.relation.citationissue.spa.fl_str_mv 4
dc.relation.citationstartpage.spa.fl_str_mv 1
dc.relation.citationvolume.spa.fl_str_mv 9
dc.relation.cites.none.fl_str_mv Pardo García, C., Rojas, J. P., & Orjuela Abril, S. (2019). A Numerical Model for the Analysis of the Bearings of a Diesel Engine Subjected to Conditions of Wear and Misalignment. Tribol. Int, 130, 387-399.
dc.relation.ispartofjournal.spa.fl_str_mv Lubricants
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dc.format.extent.spa.fl_str_mv 22 páginas
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Lubricants
dc.publisher.place.spa.fl_str_mv Suiza
dc.source.spa.fl_str_mv https://www.mdpi.com/2075-4442/9/4/42
institution Universidad Francisco de Paula Santander
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spelling Pardo García, Carlos Eduardo4e35c013861eb7a16257ae1adbd96e8c600Rojas Suárez, Jhan Piero96cb752d974d2a7f4f66513af6ebbf8d600Orjuela Abril, Martha Sofia c7eb007995ff675aa1fb2ed07939a53e600Lubricants2022-11-28T13:49:06Z2022-11-28T13:49:06Z2021-04-09https://repositorio.ufps.edu.co/handle/ufps/6622https://doi.org/10.3390/lubricants9040042In the present work, a numerical model is developed to investigate the influence of wear and misalignment on the bearings of a stationary diesel engine. The model implemented considers the effects of surface wear on the bearing, cavitation effects, and surface roughness. For the numerical analysis, changes in the surface roughness of σ = 0.75 µm, σ = 1 µm, and σ = 1.25 µm are defined, and changes in the bearing load of 50%, 75%, and 100%. The results demonstrated that increasing the surface roughness intensifies the bearing wear, which represents 18% and 140% of the bearing clearance for the roughness of σ = 1 µm and σ = 1.25 µm, respectively. Additionally, the surface roughness causes a considerable increase in the bearing wear rate. The results described a maximum wear rate of 20 µm/s. In general, increasing the bearing load by 25% doubles the hydrodynamic pressure conditions increases friction force by 33%, and reduces lubrication film thickness by 12%. The analysis of the angle of deflection, φx and φy, shows that the moment and the degree of misalignment tend to increase significantly with the increase in the magnitude of the angle φy. Negative angles of deflection, φx, produce a greater increase in the degree of misalignment and the moment. This implies a greater chance of contact with the bearing surface. In conclusion, the proposed methodology serves as a reliable tool to simultaneously evaluate key parameters on the tribological behavior of bearings that further extend their endurance and minimize wear damage.22 páginasapplication/pdfengLubricantsSuizaLubricants. Vol. 9 N°.4. (2021)Vol.9 N°.4. (2021)22419Pardo García, C., Rojas, J. P., & Orjuela Abril, S. (2019). A Numerical Model for the Analysis of the Bearings of a Diesel Engine Subjected to Conditions of Wear and Misalignment. Tribol. Int, 130, 387-399.LubricantsThis article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) licensehttps://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2https://www.mdpi.com/2075-4442/9/4/42Document details - A numerical model for the analysis of the bearings of a diesel engine subjected to conditions of wear and misalignmentArtículo 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_970fb48d4fbd8a85engine bearingsdeflection anglemisalignmentsurface roughnessValencia, G.; Duarte, J.; Isaza-Roldan, C. Thermoeconomic Analysis of Different Exhaust Waste-Heat Recovery Systems for Natural Gas Engine Based on ORC. Appl. Sci. 2019, 9, 4017.Forero, J.D.; Ochoa, G.V.; Alvarado, W.P. 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Wear simulation for the journal bearings operating under aligned shaft and steady load during start-up and coast-down conditions. Tribol. Int. 2016, 97, 440–466.Sander, D.E.; Allmaier, H.; Priebsch, H.; Reich, F.; Witt, M.; Skiadas, A.; Knaus, O. Edge loading and running-in wear in dynamically loaded journal bearings. Tribol. Int. 2015, 92, 395–403.Jia, H.; Li, J.; Wang, J.; Xiang, G.; Xiao, K.; Han, Y. Micropitting Fatigue Wear Simulation in Conformal-Contact Under Mixed Elastohydrodynamic Lubrication. J. Tribol. 2019, 141, 061501-27.Gu, C.; Meng, X.; Wang, S.; Ding, X. Modeling a Hydrodynamic Bearing With Provision for Misalignments and Textures. J. Tribol. 2019, 142, 1–29.Li, L.; Zhang, D.; Xie, Y. Effect of misalignment on the dynamic characteristic of MEMS gas bearing considering rarefaction effect. Tribol. Int. 2019, 139, 22–35.Li, B.; Sun, J.; Zhu, S.; Fu, Y.; Zhao, X.; Wang, H.; Teng, Q.; Ren, Y.; Li, Y.; Zhu, G. 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Investigations on transitions of lubrication states for water lubricated bearing. Part II: Further insight into the film thickness ratio lambda. Ind. Lubr. Tribol. 2016, 68, 416–429.Jang, J.Y.; Khonsari, M.M. On the Behavior of Misaligned Journal Bearings Based on Mass-Conservative Thermohydrodynamic Analysis. J. Tribol. 2009, 132, 011702.Vijayaraghavan, D.; Keith, T. Effect of cavitation on the performance of a grooved misaligned journal bearing. Wear 1989, 134, 377–397.Elrod, H.G.; Adams, M.L. A computer program for cavitation and starvation problems. Cavitation Relat. Phenom. Lubricants 1975, 37–41.Archard, J.F. Contact and Rubbing of Flat Surfaces. J. Appl. Phys. 1953, 24, 981–988.Kogut, L.; Etsion, I. A Finite Element Based Elastic-Plastic Model for the Contact of Rough Surfaces. Tribol. Trans. 2003, 46, 383–390.Dowson, D.; Higginson, G.R. A Numerical Solution to the Elasto-Hydrodynamic Problem. J. Mech. Eng. Sci. 1959, 1, 6–15.Yang, P.; Cui, J.; Jin, Z.M.; Dowson, D. 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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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