Equação da onda com fronteira Fuzzy para vibrações mecânicas

Detalhes bibliográficos
Ano de defesa: 2017
Autor(a) principal: Ferreira, Magna Paulina de Souza
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
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
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
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.