Desenvolvimento de algoritmo para modelagem e simulação de sistemas por grafos de ligação
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Data
2012-03-01
Autores
Negrão, Celso Garcia [UNESP]
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Editor
Universidade Estadual Paulista (Unesp)
Resumo
Este trabalho propõe a utilização da técnica de modelagem para obtenção das equações do movimento de sistemas dinâmicos, apresentando uma contribuição para o desenvolvimento do algoritmo computacional e implementado através da técnica de grafos de ligação. O objetivo é entender o desempenho do algoritmo desenvolvido através dos grafos de ligações e, assim, avaliar e validar as propostas deste trabalho. O problema da busca para obter uma equação do modelo de sistemas dinâmicos com geração automática em plantas industriais tem levantado a necessidade de desenvolver um algoritmo para sistemas que forneça a equação do movimento do modelo dinâmico. A proposição desta Tese consiste na aplicação da técnica de grafos de ligação para a determinação das equações de estado a partir do algoritmo desenvolvido com um programa computacional para geração automática das equações do movimento na forma de equações de estado. Os algoritmos foram desenvolvidos em ambiente matemático simbólico. Alguns estudos de caso (aplicações) foram utilizados para validação do algoritmo, constituindo estudo de casos sistemáticos, sendo: -Sistema dinâmico viga-bola, sistema mecânico massa-mola-amortecedor e seu análogo o circuito RLC e sistema servo-válvula eletro-hidráulica. No primeiro caso, sistema dinâmico viga-bola (sistema não-linear), o sistema compreende de uma viga fixada ao eixo do motor e uma bola deslizando sobre a viga, onde foi obtida a modelagem via grafos de ligação, utilizando o algoritmo computacional e encontrado o modelo na forma de equação de estado. No segundo caso, sistema mecânico massa-mola-amortecedor e seu análogo circuito RLC, foi obtido o grafo...
This work proposes the use of the technique of modeling for getting the equations of the movement of dynamic linear and non-linear systems, presenting a contribution for the development of the computational algorithm and implemented through the technique of bond graphs. The objective is the understanding of the performance of the algorithm developed by the bond graphs and thus to evaluate and validate the proposals in this work. The problem of the search to obtain an equation of the model of dynamic systems with automatic generation in industrial plants has been lifting the necessity of developing an algorithm for systems which supply the equation of the movement of the dynamic model. The proposition of this Thesis consists in the application of the bond graphs technique for the determination of the equations of state from the algorithm developed with a computational program for automatic generation of the equations of the movement in the form of equations of state. The algorithms were developed in symbolic mathematical environment. Some case studies (applications) were used for validation of the developed algorithm. The first case is a non-linear system, while the second and third thing cases are linear, constituting systematic case study, being: Dynamic system beam-ball, mechanical system mass-spring-damper and its analogue the RLC circuit and electro-hydraulic servo valve system . In the first case, dynamic system beam-ball (non-linear systems), the system consists of a beam attached to the motor shaft and a ball sliding on the beam, where the modeling was obtained by bond graphs, using the computational algorithm and the model was found in the form of equation of state. In the second case, mechanical system mass-spring-damper and its analogue RLC circuit, the validation was carried out... (Complete abstract click eletronic access below)
This work proposes the use of the technique of modeling for getting the equations of the movement of dynamic linear and non-linear systems, presenting a contribution for the development of the computational algorithm and implemented through the technique of bond graphs. The objective is the understanding of the performance of the algorithm developed by the bond graphs and thus to evaluate and validate the proposals in this work. The problem of the search to obtain an equation of the model of dynamic systems with automatic generation in industrial plants has been lifting the necessity of developing an algorithm for systems which supply the equation of the movement of the dynamic model. The proposition of this Thesis consists in the application of the bond graphs technique for the determination of the equations of state from the algorithm developed with a computational program for automatic generation of the equations of the movement in the form of equations of state. The algorithms were developed in symbolic mathematical environment. Some case studies (applications) were used for validation of the developed algorithm. The first case is a non-linear system, while the second and third thing cases are linear, constituting systematic case study, being: Dynamic system beam-ball, mechanical system mass-spring-damper and its analogue the RLC circuit and electro-hydraulic servo valve system . In the first case, dynamic system beam-ball (non-linear systems), the system consists of a beam attached to the motor shaft and a ball sliding on the beam, where the modeling was obtained by bond graphs, using the computational algorithm and the model was found in the form of equation of state. In the second case, mechanical system mass-spring-damper and its analogue RLC circuit, the validation was carried out... (Complete abstract click eletronic access below)
Descrição
Palavras-chave
Algoritmos de computador, Grafos de ligação, Computational algorithm
Como citar
NEGRÃO, Celso Garcia. Desenvolvimento de algoritmo para modelagem e simulação de sistemas por grafos de ligação. 2012. 143 f. Tese (doutorado) - Universidade Estadual Paulista, Faculdade de Engenharia de Guaratinguetá, 2012.