Modelo de baixa dimensão para análise dinâmica de painel cilíndrico simplesmente apoiado

• Ano de defesa: 2015
• Autor(a) principal: Sattler, Henrique Araújo Rodrigues
• Orientador(a): Silva, Frederico Martins Alves da
• Banca de defesa: Silva, Frederico Martins Alves da, Soares, Renata Machado, Carvalho, Euler Chaves
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Goiás
• Programa de Pós-Graduação: Programa de Pós-graduação em Geotecnia, Estruturas e Construção Civil (EEC)
• Departamento: Escola de Engenharia Civil - EEC (RG)
• País: Brasil
• Palavras-chave em Português: Painel cilíndrico; Vibrações livres; Vibrações forçadas; Modelo de baixa dimensão
• Palavras-chave em Inglês: Cylindrical panel; Free vibration; Forced vibration; Low dimensional model
• Área do conhecimento CNPq: ENGENHARIA CIVIL::GEOTECNICA
• Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/5395

This work is a study of linear and nonlinear free vibration of a cylindrical panel simply supported subjected to a dependent loading time. From the full potential and kinetic energy functional of a cylindrical panel to determine the system's equations of motion, whereas the field of deformations of the cylindrical panel follows the non-linear theory for Donnell shallow shell. For discretization of the cylindrical panel moving system of equations is performed a test procedure able to obtain the fields axial and circumferential displacements from a modal expansion radial displacement field, creating a low-dimensional discretized model. Determine the radial displacement field from perturbation techniques that provides the nonlinear modes which couple to the linear vibration mode of the system from the quadratic and cubic non-linearities present in the cylindrical panel equilibrium equations. With this system of equations is reduced to a partial differential equation as a function of the expansion of the modal amplitudes for the radial displacement being discretized then the Galerkin method. They present the results of various free, linear and non-linear vibrations, and forced into a cylindrical simply supported panel, showing the remarkable influence of the modal coupling in modal solution to this radial displacement and the panel geometry.