Equação da onda com fronteira Fuzzy para vibrações mecânicas

• Ano de defesa: 2017
• Autor(a) principal: Ferreira, Magna Paulina de Souza
• 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
• Palavras-chave em Português: Matemática; Oscilação; Sistemas difusos; Mecânica ondulatória; Vibraçoes mecânicas; Sistema baseado em regras fuzzy; Equacoes diferencias; Método de elementos finitos; Método de diferencas finitas; Condicão de fronteira de Robin; Mechanical vibrations; Fuzzy rule-cased system; Differential equations; Finite element method; Finite difference method; Robin boundary condition; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://repositorio.ufu.br/handle/123456789/18656; http://doi.org/10.14393/ufu.di.2017.278

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.