Programa de Pós-Graduação em Modelagem e Otimização - PPGMO
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O Mestrado em Modelagem e Otimização tem um papel essencial no desenvolvimento de novas tecnologias. Atualmente, se faz muito intensamente o uso de modelos matemáticos, simulações avançadas e sofisticados desenvolvimentos computacionais na pesquisa científica em geral. O objetivo do PPGMO é formar profissionais capazes de atuar no desenvolvimento da pesquisa na área de modelagem e otimização, para tratamento de modelos matemáticos e computacionais. Além de proporcionar ao aluno graduado em ciências exatas o aprofundamento do saber na área, que lhe permita alcançar padrão de competência científica ou técnico-profissional e oferecer, dentro da Universidade, ambiente e recursos adequados ao desenvolvimento da investigação científica.
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Item Análise estática e dinâmica de pórticos planos com o uso da formulação corrotacional(Universidade Federal de Goiás, 2018-10-22) Cunha, João Paulo Favoretto Braz da; Silva, Wellington Andrade da; http://lattes.cnpq.br/2449347153075493; Silva, Wellington Andrade da; Borges, Romes Antônio; Ribeiro, Paulo Marcelo VieiraThis research presents a survey of the corrotational kinematic description applied to the Finite Element Method for 2D beam element, based on the Euler-Benoulli beam hypothesis, with the purpose to handle the effects of geometric non-linearity in the behavior of structures. In order to complete this survey two Matlab\textregistered programs were implemented in the finite element method based on the kinematic description presented in this research. The first one was to static analysis, denominated PPNLG, and the second one to dynamic analysis, denominated PPNLD . In relation of the field of static analysis, the method of load displacement control was the cylindrical arch length method. To the dynamic analysis, the method used to solve the systems of nonlinear differential equations was the implicit direct integration method of Newmark. Both programs were successfully validated when comparing the results obtained in numerical examples with the results obtained by other bibliographies.Item Aplicação de uma abordagem robusta no problema de localização de ambulâncias com estudo de caso na cidade de Catalão - Goiás(Universidade Federal de Goiás, 2016-07-05) Marques, Raina Ribeiro; Queiroz, Thiago Alves de; http://lattes.cnpq.br/8041183668335400; Queiroz, Thiago Alves de; Camargo, Victor Claudio Bento de; Borges, Romes AntônioThe robust optimization techniques can be used in problems subject to uncertainty in order to obtain robust solutions, that is, solutions that are less sensitive to the problem variations. Problems such as the facility location, specifically, the location of ambulances, have uncertainty in your data. Thus, an integer linear programming model for allocation of ambulances and stations is investigated considering that the service time is an uncertainty parameter, since this parameter is influenced by the nature of the call, traffic, or distance traveled, for example. It is proposed a model considering the application of a robust approach that controls the amount of uncertainty parameters related with the service time. A case study with real data provided by the fire department of the city of Catalão, Goiás, is performed on the models and the results show that the number of ambulances is greater than the current need, as pointed by the model without uncertainty. However, the results on the robust model show that the real number of ambulances in the city is able to serve a limited amount of demand, so for a maximum variation of the demand, the number of available ambulances are not able to support it. The model had worked well for the first two scenarios among the three ones tested, in which for the last scenario the model was quite sensitive to changes on the uncertainty parameters.Item Estudo de vibrações induzidas por linhas férreas(Universidade Federal de Goiás, 2017-03-13) Silva, Gabriel Gomes; Borges, Romes Antônio; http://lattes.cnpq.br/3888145024042412; Borges, Romes Antonio; Silva, Alice Rosa da; Silva, Wellington Andrade daVibrations in the soil, induced by the passage of trains on railways, can cause countless effects in the areas bordering the railroads. In most problems, resort to simplified models of the system of interaction between rails foundation and trains for predicting responses that meet certain expectations, especially in order to avoid damaging nearby structures and also avoid discomfort of the people residing in areas surrounding the railway lines. Several soil-foundation interaction models have been developed seeking to get the answer to a foundation when subjected to static and dynamic actions, however, this response depends on multiple factors such as the nature and the mechanical characteristics of the terrain, the geometry of the elements involved, the rigidity of the foundation and the nature of his own excitement. Also of great importance in this type of analysis is the use of optimization techniques in order to obtain projects that are more realistic and safe from an engineering point of view. In this paper, was proposed a study of the effect of vibrations on railway lines, where it aims to model a system coupled between foundations and rails, subject to dynamic actions, in order to simulate the displacement in the time domain and in the domain of the frequency, using optimization for the construction of an optimum design that can attenuate the amplitudes of vibration of the system.Item Uma contribuição ao estudo da guapeva (Pouteria Gardneriana Radlk): procedimento experimental, modelagem matemática e pós-processamento(Universidade Federal de Goiás, 2019-08-12) Barbosa, Thaís Alves; Arruda, Edu Barbosa; http://lattes.cnpq.br/5969496186215144; Lobato, Fran Sérgio; http://lattes.cnpq.br/7640108116459444; Lobato, Fran Sérgio; Arruda, Edu Barbosa; Arouca, Fábio de Oliveira; Borges, Romes Antônio; Siqueira, Ana Paula SilvaThe cerrado is configured with one of largest biomes in terms of representativeness and diversity in Brazilian territory. A wide variety of fruits and that presents applicability in different areas, as agriculture and medicine, can be found. Among these, the guapeva presents a large potential due to sweet taste, nutritional and bioactive, and applications in medicine field. Despite these characteristics, few studies considering this fruit can be found in the literature. In this contribution, this work aims to contribute in study of guapeva in terms of drying operation and characterization of produced flour with the bark of this fruit. For this purpose, a tunnel type dryer, in which experiments are performed to determine the parameters associated with the guapeva drying kinetic and parameters associated with the phenomenological model (effective moisture diffusivity and effective thermal conductivity). In this case, two inverse problems were proposed and solved by using the Differential Evolution algorithm. From the results obtained it was possible to observe a good concordance between the experimental and predicted results. In relation to physical-chemical analysis of the flour produced, it was possible to observe a good nutritional quality in comparison with other commercial flours. In this context, the product resulting from the drying process is configured as an alternative, from the nutritional point of view, to traditional products found in market.Item Uso das cadeias de Markov associado ao monitoramento da integridade estrutural baseado em impedância eletromecânica(Universidade Federal de Goiás, 2018-05-02) Bento, João Paulo Moreira; Moura Júnior, José dos Reis Vieira de; http://lattes.cnpq.br/2479225716217997; Steffen Júnior, Valder; Borges, Romes AntônioThere are several problems that can occur in components exposed to constant use and subjected to wear among the different types of structural components. Thus, in the last years it has been developed techniques able to monitor the health of the structures. In the last decades many non-destructive techniques have started to be used, among them we can mention the method of electromechanical impedance. This work proposes to present in the bibliographic review some basic concepts related to the main topics related to SHM (Structural Health Monitoring), such as smart materials, the different techniques, damage metrics and impedance analyzers. It will also be approached some techniques of classic optimization (random search) and bioinspired (bee colony algorithm and ant colony algorithm) that can be used to perform electromechanical impedance signals between damaged and non-damaged structures. Finally, it is presented the subject of Markov chains, a stochastic process, which a future state depends only on the present state and not on the other past states. The dissertation proposal is a case study (LEGO System) that aims to apply the concepts of electromechanical impedance, optimization and Markov chains for the monitoring of structural health in a defined system, and with this result, be able to provide data for a possible failure prediction. Concluding, it can realize the potentiality of the Markov chains associated to the electromechanical impedance method for monitoring and predicting future states.