Equação da onda com fronteira Fuzzy para vibrações mecânicas
Ano de defesa: | 2017 |
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Autor(a) principal: | |
Orientador(a): | |
Banca de defesa: | |
Tipo de documento: | Dissertação |
Tipo de acesso: | Acesso aberto |
Idioma: | por |
Instituição de defesa: |
Universidade Federal de Uberlândia
Brasil Programa de Pós-graduação em Matemática |
Programa de Pós-Graduação: |
Não Informado pela instituição
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Departamento: |
Não Informado pela instituição
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País: |
Não Informado pela instituição
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Palavras-chave em Português: | |
Link de acesso: | https://repositorio.ufu.br/handle/123456789/18656 http://doi.org/10.14393/ufu.di.2017.278 |
Resumo: | The study of mechanical vibrations has been an important area for many researchers of the exact sciences. The first type of vibration studied was the classical model of the mass-spring system, which is known as a harmonic oscillation system. The contribution of this model comes from considering a specific spring of a vehicle, with a constant spring elasticity, obtained through a Fuzzy Rule-Based System. Other types of mechanical vibrations are studied with the wave equation. Initially, we model the position of a suspended cable with one end connected by a spring, in which we consider the elastic constant obtained through a Fuzzy Rule-Based System. We also study the vibration of a beam connected at two ends by mass, springs and dampers, which can be applied as a model of a vehicle chassis. The spring constant is studied in a similar way to the previous cases. Sequentially, we studied the motions equation of a membrane using the two-dimensional finite element method. The analysis of the models studied through the fuzzy set theory allowed us to obtain different solutions of the equations considering the spring’s time of use. |