Modelagem matemática de sistemas vibratórios com aplicação de autovalores

Detalhes bibliográficos
Ano de defesa: 2015
Autor(a) principal: Venceslau, Sheyla Maurício Maia lattes
Orientador(a): Silva, Débora Lopes da
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal de Sergipe
Programa de Pós-Graduação: Pós-Graduação em Matemática
Departamento: Não Informado pela instituição
País: Brasil
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: https://ri.ufs.br/handle/riufs/6476
Resumo: The present work aims to contribute to the teaching and learning process of disciplines such as Linear Algebra and Differential Equations, suggesting a study methodology based on mathematical modeling of mechanical systems and application of eigenvalues of problem, as well as encourage high school students to explore mathematics, a revealing and essential science, showing that content such as complex numbers, determinants, trigonometry, etc., some of these mistakenly questioned about its practical utility, can be used for the benefit of people, for example, providing more security and stability to buildings , essential in modern times. Initially, the contents will be displayed formally required for the understanding of vibrating systems with two degrees of freedom to apply them subsequently in the determination of natural frequencies of vibration of a two storey building. Also, a demo will be made of how to calculate the eigenvalues through of computational tools, the softwares MATLAB and R. Using the softwares, the determination of natural frequencies becomes even more practical and thus shows that the application of the problem is quite simple and has obvious practical use.