Modelagem matemática para dosadores de fertilizantes por delineamento composto central rotacional

Detalhes bibliográficos
Autor(a) principal: Franck, Cristian Josue
Data de Publicação: 2014
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Manancial - Repositório Digital da UFSM
Texto Completo: http://repositorio.ufsm.br/handle/1/7592
Resumo: The world population growth poses to modern agriculture a number of challenges, one of the main ones is the assurance of the food supply. For this, the rational and appropriate use of fertilizers that can provide increased productivity is required. Accordingly, a technology that can be used is Precision Agriculture, by applying to variable rates. To this end, electronic controllers, based on algorithms are used. However, these algorithms probably do not consider the effect of longitudinal and transverse inclination on the rate of fertilizer application. Aiming to enhance such algorithms, the present study aimed to develop mathematical models capable of predicting the rate of fertilizer application on the basis of longitudinal and transverse gradients and drive speed by of a central composite rotational design, which can be used as a tool to fix the rate of fertilizer application in precision agriculture. The experiments were performed at the Laboratory for Research and Development of Agricultural Machinery (Laserg), linked to the Federal University of Santa Maria. Five types of fertilizer metering mechanism of seed and fertilizer drills in lines and three types of fertilizers were used. Through central composite rotational design mathematical models were generated for each type of fertilizer metering mechanism and fertilizer, totaling fifteen models. With regression analysis, it was proven the efficiency of the models, simulations were performed to determine the minimum and maximum rates and the recommended operation parameters for each fertilizer metering mechanism and type of fertilizer. To determine the best parameters, the models were adjusted for the rate of speed and spacing. Then, the corresponding drive speeds to application rates of 200, 300, 400 and 500 kg ha-1 for longitudinal and transverse inclination zero were determined. The drive speed was fixed and longitudinal and transverse inclination was varied until values on which the application rate reached 5% variation. Graphs with intervals of longitudinal and transverse inclination from the values that caused the maximum permitted variations of 5% were developed, and by analyzing the graph area, the fertilizer metering mechanism were classified according to their performance and are considered more efficient ones with larger area. The efficiency of mathematical models generated from the central composite rotational design was proven, since their coefficients of determination, R ², were high and their relative and absolute errors low. The classification of the fertilizer metering mechanism as the best performance on the change in the rate of fertilizer application was: auger-type transverse discharge with overflow, auger-type with overflow and discharge to the side, auger-type with discharge by gravity, fluted cylinder and star wheel.
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spelling Modelagem matemática para dosadores de fertilizantes por delineamento composto central rotacionalMathematical modeling of fertilizer metering mechanism by central composite rotacional designMecanização agrícolaAgricultura de precisãoTaxas variáveisAgricultural mechanizationPrecision agricultureVariable ratesCNPQ::CIENCIAS AGRARIAS::ENGENHARIA AGRICOLAThe world population growth poses to modern agriculture a number of challenges, one of the main ones is the assurance of the food supply. For this, the rational and appropriate use of fertilizers that can provide increased productivity is required. Accordingly, a technology that can be used is Precision Agriculture, by applying to variable rates. To this end, electronic controllers, based on algorithms are used. However, these algorithms probably do not consider the effect of longitudinal and transverse inclination on the rate of fertilizer application. Aiming to enhance such algorithms, the present study aimed to develop mathematical models capable of predicting the rate of fertilizer application on the basis of longitudinal and transverse gradients and drive speed by of a central composite rotational design, which can be used as a tool to fix the rate of fertilizer application in precision agriculture. The experiments were performed at the Laboratory for Research and Development of Agricultural Machinery (Laserg), linked to the Federal University of Santa Maria. Five types of fertilizer metering mechanism of seed and fertilizer drills in lines and three types of fertilizers were used. Through central composite rotational design mathematical models were generated for each type of fertilizer metering mechanism and fertilizer, totaling fifteen models. With regression analysis, it was proven the efficiency of the models, simulations were performed to determine the minimum and maximum rates and the recommended operation parameters for each fertilizer metering mechanism and type of fertilizer. To determine the best parameters, the models were adjusted for the rate of speed and spacing. Then, the corresponding drive speeds to application rates of 200, 300, 400 and 500 kg ha-1 for longitudinal and transverse inclination zero were determined. The drive speed was fixed and longitudinal and transverse inclination was varied until values on which the application rate reached 5% variation. Graphs with intervals of longitudinal and transverse inclination from the values that caused the maximum permitted variations of 5% were developed, and by analyzing the graph area, the fertilizer metering mechanism were classified according to their performance and are considered more efficient ones with larger area. The efficiency of mathematical models generated from the central composite rotational design was proven, since their coefficients of determination, R ², were high and their relative and absolute errors low. The classification of the fertilizer metering mechanism as the best performance on the change in the rate of fertilizer application was: auger-type transverse discharge with overflow, auger-type with overflow and discharge to the side, auger-type with discharge by gravity, fluted cylinder and star wheel.Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorO crescimento da população mundial lança à agricultura moderna uma série de desafios, um dos principais é a garantia do fornecimento de alimentos. Para isso, é necessária a utilização racional e adequada de fertilizantes, que podem propiciar o aumento da produtividade. Neste sentido, uma tecnologia que pode ser empregada é a Agricultura de Precisão, através da aplicação a taxas variáveis. Para tal, são utilizados controladores eletrônicos, baseados em algoritmos. Porém, é provável que tais algoritmos não considerem o efeito de inclinações longitudinais e transversais sobre a taxa de aplicação de fertilizantes. Com o intuito de aprimorar tais algoritmos, o presente trabalho teve por objetivo o desenvolvimento de modelos matemáticos capazes de predizer a taxa de aplicação de fertilizantes em função de inclinações longitudinais e transversais e velocidade de acionamento, através do delineamento composto central rotacional, que possam ser empregados como ferramenta para correção da taxa de aplicação de fertilizantes em agricultura de precisão. Os experimentos foram realizados no Laboratório de Pesquisa e Desenvolvimento de Máquinas Agrícolas (Laserg), vinculado a Universidade Federal de Santa Maria. Foram utilizados cinco tipos de dosadores de fertilizante de semeadoras-adubadoras e três tipos de fertilizantes. Através do delineamento composto central rotacional foram gerados modelos matemáticos para cada tipo de dosador e fertilizante, totalizando quinze modelos. Com a análise de regressão, foi comprovada a eficiência dos modelos e foram realizadas simulações para determinação das taxas de aplicação máxima e mínima e os melhores parâmetros recomendados à operação para cada dosador e tipo de fertilizante. Para determinação dos melhores parâmetros, os modelos foram ajustados em função da velocidade de deslocamento e espaçamento entre linhas. Em seguida foram determinadas as velocidades de acionamento correspondentes as taxas de aplicação de 200, 300, 400 e 500kg ha-1 para inclinações longitudinais e transversais iguais a zero. A velocidade de acionamento foi mantida fixa e variou-se as inclinações longitudinais e transversais até valores em que a taxa de aplicação atingiu variação de 5%. Foram desenvolvidos gráficos com os intervalos de inclinações longitudinais e transversais a partir dos valores que ocasionaram as variações máximas permitidas de 5% e, através da análise da área gráfica, os dosadores foram classificados quanto ao seu desempenho, sendo considerados mais eficientes aqueles com maior área do gráfico. Foi comprovada a eficiência dos modelos matemáticos gerados a partir do delineamento composto central rotacional, pois seus coeficientes de determinação, foram elevados e seus erros relativos e absolutos baixos. A classificação dos dosadores quanto ao melhor desempenho na alteração da taxa de aplicação de fertilizante foi: helicoidal com descarga por transbordo transversal, helicoidal com descarga por transbordo lateral, helicoidal com descarga por gravidade, rotor acanalado e rotor dentado.Universidade Federal de Santa MariaBREngenharia AgrícolaUFSMPrograma de Pós-Graduação em Engenharia AgrícolaAlonço, Airton dos Santoshttp://lattes.cnpq.br/9734276321240323Santos, Paula Machado doshttp://lattes.cnpq.br/9956733040751870Roggia, Iria Bruckerhttp://lattes.cnpq.br/2986369031665530Franck, Cristian Josue2015-02-242015-02-242014-02-07info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfapplication/pdfFRANCK, Cristian Josue. MATHEMATICAL MODELING OF FERTILIZER METERING MECHANISM BY CENTRAL COMPOSITE ROTACIONAL DESIGN. 2014. 166 f. Dissertação (Mestrado em Engenharia Agrícola) - Universidade Federal de Santa Maria, Santa Maria, 2014.http://repositorio.ufsm.br/handle/1/7592porinfo:eu-repo/semantics/openAccessreponame:Manancial - Repositório Digital da UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSM2021-09-23T00:03:17Zoai:repositorio.ufsm.br:1/7592Biblioteca Digital de Teses e Dissertaçõeshttps://repositorio.ufsm.br/ONGhttps://repositorio.ufsm.br/oai/requestatendimento.sib@ufsm.br||tedebc@gmail.comopendoar:2021-09-23T00:03:17Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)false
dc.title.none.fl_str_mv Modelagem matemática para dosadores de fertilizantes por delineamento composto central rotacional
Mathematical modeling of fertilizer metering mechanism by central composite rotacional design
title Modelagem matemática para dosadores de fertilizantes por delineamento composto central rotacional
spellingShingle Modelagem matemática para dosadores de fertilizantes por delineamento composto central rotacional
Franck, Cristian Josue
Mecanização agrícola
Agricultura de precisão
Taxas variáveis
Agricultural mechanization
Precision agriculture
Variable rates
CNPQ::CIENCIAS AGRARIAS::ENGENHARIA AGRICOLA
title_short Modelagem matemática para dosadores de fertilizantes por delineamento composto central rotacional
title_full Modelagem matemática para dosadores de fertilizantes por delineamento composto central rotacional
title_fullStr Modelagem matemática para dosadores de fertilizantes por delineamento composto central rotacional
title_full_unstemmed Modelagem matemática para dosadores de fertilizantes por delineamento composto central rotacional
title_sort Modelagem matemática para dosadores de fertilizantes por delineamento composto central rotacional
author Franck, Cristian Josue
author_facet Franck, Cristian Josue
author_role author
dc.contributor.none.fl_str_mv Alonço, Airton dos Santos
http://lattes.cnpq.br/9734276321240323
Santos, Paula Machado dos
http://lattes.cnpq.br/9956733040751870
Roggia, Iria Brucker
http://lattes.cnpq.br/2986369031665530
dc.contributor.author.fl_str_mv Franck, Cristian Josue
dc.subject.por.fl_str_mv Mecanização agrícola
Agricultura de precisão
Taxas variáveis
Agricultural mechanization
Precision agriculture
Variable rates
CNPQ::CIENCIAS AGRARIAS::ENGENHARIA AGRICOLA
topic Mecanização agrícola
Agricultura de precisão
Taxas variáveis
Agricultural mechanization
Precision agriculture
Variable rates
CNPQ::CIENCIAS AGRARIAS::ENGENHARIA AGRICOLA
description The world population growth poses to modern agriculture a number of challenges, one of the main ones is the assurance of the food supply. For this, the rational and appropriate use of fertilizers that can provide increased productivity is required. Accordingly, a technology that can be used is Precision Agriculture, by applying to variable rates. To this end, electronic controllers, based on algorithms are used. However, these algorithms probably do not consider the effect of longitudinal and transverse inclination on the rate of fertilizer application. Aiming to enhance such algorithms, the present study aimed to develop mathematical models capable of predicting the rate of fertilizer application on the basis of longitudinal and transverse gradients and drive speed by of a central composite rotational design, which can be used as a tool to fix the rate of fertilizer application in precision agriculture. The experiments were performed at the Laboratory for Research and Development of Agricultural Machinery (Laserg), linked to the Federal University of Santa Maria. Five types of fertilizer metering mechanism of seed and fertilizer drills in lines and three types of fertilizers were used. Through central composite rotational design mathematical models were generated for each type of fertilizer metering mechanism and fertilizer, totaling fifteen models. With regression analysis, it was proven the efficiency of the models, simulations were performed to determine the minimum and maximum rates and the recommended operation parameters for each fertilizer metering mechanism and type of fertilizer. To determine the best parameters, the models were adjusted for the rate of speed and spacing. Then, the corresponding drive speeds to application rates of 200, 300, 400 and 500 kg ha-1 for longitudinal and transverse inclination zero were determined. The drive speed was fixed and longitudinal and transverse inclination was varied until values on which the application rate reached 5% variation. Graphs with intervals of longitudinal and transverse inclination from the values that caused the maximum permitted variations of 5% were developed, and by analyzing the graph area, the fertilizer metering mechanism were classified according to their performance and are considered more efficient ones with larger area. The efficiency of mathematical models generated from the central composite rotational design was proven, since their coefficients of determination, R ², were high and their relative and absolute errors low. The classification of the fertilizer metering mechanism as the best performance on the change in the rate of fertilizer application was: auger-type transverse discharge with overflow, auger-type with overflow and discharge to the side, auger-type with discharge by gravity, fluted cylinder and star wheel.
publishDate 2014
dc.date.none.fl_str_mv 2014-02-07
2015-02-24
2015-02-24
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv FRANCK, Cristian Josue. MATHEMATICAL MODELING OF FERTILIZER METERING MECHANISM BY CENTRAL COMPOSITE ROTACIONAL DESIGN. 2014. 166 f. Dissertação (Mestrado em Engenharia Agrícola) - Universidade Federal de Santa Maria, Santa Maria, 2014.
http://repositorio.ufsm.br/handle/1/7592
identifier_str_mv FRANCK, Cristian Josue. MATHEMATICAL MODELING OF FERTILIZER METERING MECHANISM BY CENTRAL COMPOSITE ROTACIONAL DESIGN. 2014. 166 f. Dissertação (Mestrado em Engenharia Agrícola) - Universidade Federal de Santa Maria, Santa Maria, 2014.
url http://repositorio.ufsm.br/handle/1/7592
dc.language.iso.fl_str_mv por
language por
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Santa Maria
BR
Engenharia Agrícola
UFSM
Programa de Pós-Graduação em Engenharia Agrícola
publisher.none.fl_str_mv Universidade Federal de Santa Maria
BR
Engenharia Agrícola
UFSM
Programa de Pós-Graduação em Engenharia Agrícola
dc.source.none.fl_str_mv reponame:Manancial - Repositório Digital da UFSM
instname:Universidade Federal de Santa Maria (UFSM)
instacron:UFSM
instname_str Universidade Federal de Santa Maria (UFSM)
instacron_str UFSM
institution UFSM
reponame_str Manancial - Repositório Digital da UFSM
collection Manancial - Repositório Digital da UFSM
repository.name.fl_str_mv Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)
repository.mail.fl_str_mv atendimento.sib@ufsm.br||tedebc@gmail.com
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