Mathematical modelling to optimize mobile performance on downhill ramps

Detalhes bibliográficos
Autor(a) principal: Chiarello, Maurício Garcia
Data de Publicação: 2021
Tipo de documento: Artigo
Idioma: por
Título da fonte: Remat (Bento Gonçalves)
Texto Completo: https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4800
Resumo: The present study analyses mobiles, with or without traction force, that descend an inclined ramp under the action of gravity, subject to drag forces and kinetic friction. From the dynamic equation and the obtainment of the speed and position equations, the effect of the mobile mass on their performance in an eventual competition was investigated, understanding by performance the distance travelled by the mobiles in a fixed interval of time, previously stipulated. It was possible to conclude that, when the mobiles are not motorized, the performance grows continuously with the mass. For this reason, it is necessary to standardize the mass value of competing vehicles to guarantee isonomy. When vehicles are equipped with constant traction force, there may be a mass value capable of maximizing performance. Therefore, it is interesting to leave it up to competing teams to determine the most advantageous mass value for their vehicles. The conditions under which the performance is supposed to be optimized were evaluated and an analytical expression for determining the mass that maximizes the performance was obtained.
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spelling Mathematical modelling to optimize mobile performance on downhill rampsModelagem Matemática para otimização de desempenho de móbiles em descida de rampaMóbiles em RampaCompetição em Descida LivreEquacionamento DinâmicoInfluência da MassaOtimização de DesempenhoRamp MobilesGravity Car RaceDynamic EquationMass InfluencePerformance OptimizationThe present study analyses mobiles, with or without traction force, that descend an inclined ramp under the action of gravity, subject to drag forces and kinetic friction. From the dynamic equation and the obtainment of the speed and position equations, the effect of the mobile mass on their performance in an eventual competition was investigated, understanding by performance the distance travelled by the mobiles in a fixed interval of time, previously stipulated. It was possible to conclude that, when the mobiles are not motorized, the performance grows continuously with the mass. For this reason, it is necessary to standardize the mass value of competing vehicles to guarantee isonomy. When vehicles are equipped with constant traction force, there may be a mass value capable of maximizing performance. Therefore, it is interesting to leave it up to competing teams to determine the most advantageous mass value for their vehicles. The conditions under which the performance is supposed to be optimized were evaluated and an analytical expression for determining the mass that maximizes the performance was obtained.O presente estudo analisa móbiles, dotados ou não de força de tração, que descem uma rampa inclinada sob a ação da gravidade, sujeitos às forças de arrasto e atrito de rolamento. A partir do equacionamento dinâmico e da obtenção das equações de velocidade e posição, investigou-se o efeito que possui a massa dos móbiles sobre seu desempenho em uma eventual competição, entendendo por desempenho a distância percorrida pelos móbiles em um intervalo fixo de tempo, previamente estipulado. Foi possível concluir que, quando os móbiles não são motorizados, o desempenho cresce continuamente com a massa. Por esse motivo, é necessário padronizar o valor de massa dos veículos competidores para garantia de isonomia. Já quando são dotados de força de tração constante, pode haver um valor de massa capaz de maximizar o desempenho, sendo por isso interessante deixar para as equipes competidoras a tarefa de determinar o valor de massa mais vantajoso para seus veículos. Foram avaliadas as condições sob as quais o desempenho admite ser otimizado e uma expressão analítica para determinação da massa dos móbiles que maximiza o desempenho foi obtida.Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul2021-08-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtigo avaliado pelos paresapplication/pdfhttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/480010.35819/remat2021v7i2id4800REMAT: Revista Eletrônica da Matemática; Vol. 7 No. 2 (2021); e3002REMAT: Revista Eletrônica da Matemática; Vol. 7 Núm. 2 (2021); e3002REMAT: Revista Eletrônica da Matemática; v. 7 n. 2 (2021); e30022447-2689reponame:Remat (Bento Gonçalves)instname:Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)instacron:IFRSporhttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4800/2984Copyright (c) 2021 REMAT: Revista Eletrônica da Matemáticahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessChiarello, Maurício Garcia2022-12-28T16:07:18Zoai:ojs2.periodicos.ifrs.edu.br:article/4800Revistahttp://periodicos.ifrs.edu.br/index.php/REMATPUBhttps://periodicos.ifrs.edu.br/index.php/REMAT/oai||greice.andreis@caxias.ifrs.edu.br2447-26892447-2689opendoar:2022-12-28T16:07:18Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)false
dc.title.none.fl_str_mv Mathematical modelling to optimize mobile performance on downhill ramps
Modelagem Matemática para otimização de desempenho de móbiles em descida de rampa
title Mathematical modelling to optimize mobile performance on downhill ramps
spellingShingle Mathematical modelling to optimize mobile performance on downhill ramps
Chiarello, Maurício Garcia
Móbiles em Rampa
Competição em Descida Livre
Equacionamento Dinâmico
Influência da Massa
Otimização de Desempenho
Ramp Mobiles
Gravity Car Race
Dynamic Equation
Mass Influence
Performance Optimization
title_short Mathematical modelling to optimize mobile performance on downhill ramps
title_full Mathematical modelling to optimize mobile performance on downhill ramps
title_fullStr Mathematical modelling to optimize mobile performance on downhill ramps
title_full_unstemmed Mathematical modelling to optimize mobile performance on downhill ramps
title_sort Mathematical modelling to optimize mobile performance on downhill ramps
author Chiarello, Maurício Garcia
author_facet Chiarello, Maurício Garcia
author_role author
dc.contributor.author.fl_str_mv Chiarello, Maurício Garcia
dc.subject.por.fl_str_mv Móbiles em Rampa
Competição em Descida Livre
Equacionamento Dinâmico
Influência da Massa
Otimização de Desempenho
Ramp Mobiles
Gravity Car Race
Dynamic Equation
Mass Influence
Performance Optimization
topic Móbiles em Rampa
Competição em Descida Livre
Equacionamento Dinâmico
Influência da Massa
Otimização de Desempenho
Ramp Mobiles
Gravity Car Race
Dynamic Equation
Mass Influence
Performance Optimization
description The present study analyses mobiles, with or without traction force, that descend an inclined ramp under the action of gravity, subject to drag forces and kinetic friction. From the dynamic equation and the obtainment of the speed and position equations, the effect of the mobile mass on their performance in an eventual competition was investigated, understanding by performance the distance travelled by the mobiles in a fixed interval of time, previously stipulated. It was possible to conclude that, when the mobiles are not motorized, the performance grows continuously with the mass. For this reason, it is necessary to standardize the mass value of competing vehicles to guarantee isonomy. When vehicles are equipped with constant traction force, there may be a mass value capable of maximizing performance. Therefore, it is interesting to leave it up to competing teams to determine the most advantageous mass value for their vehicles. The conditions under which the performance is supposed to be optimized were evaluated and an analytical expression for determining the mass that maximizes the performance was obtained.
publishDate 2021
dc.date.none.fl_str_mv 2021-08-04
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Artigo avaliado pelos pares
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4800
10.35819/remat2021v7i2id4800
url https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4800
identifier_str_mv 10.35819/remat2021v7i2id4800
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4800/2984
dc.rights.driver.fl_str_mv Copyright (c) 2021 REMAT: Revista Eletrônica da Matemática
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2021 REMAT: Revista Eletrônica da Matemática
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul
publisher.none.fl_str_mv Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul
dc.source.none.fl_str_mv REMAT: Revista Eletrônica da Matemática; Vol. 7 No. 2 (2021); e3002
REMAT: Revista Eletrônica da Matemática; Vol. 7 Núm. 2 (2021); e3002
REMAT: Revista Eletrônica da Matemática; v. 7 n. 2 (2021); e3002
2447-2689
reponame:Remat (Bento Gonçalves)
instname:Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
instacron:IFRS
instname_str Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
instacron_str IFRS
institution IFRS
reponame_str Remat (Bento Gonçalves)
collection Remat (Bento Gonçalves)
repository.name.fl_str_mv Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
repository.mail.fl_str_mv ||greice.andreis@caxias.ifrs.edu.br
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