Consideração da superfície livre do fluido interno nas curvas de ressonância das cascas cilíndricas

• Autor(a) principal: Sousa, Mayco Velasco de
• Data de Publicação: 2017
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da UFG
• dARK ID: ark:/38995/001300000632b
• Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/7864
• topic: Casca cilíndrica; Vibrações não lineares; Superfície livre; Acoplamento; Cylindrical shell; Nonlinear vibrations; Free surfasse; Coupled; ESTRUTURAS::MECANICA DAS ESTRUTURAS

In this master’s thesis, the free and forced nonlinear vibrations of an simply supported isotropic cylindrical shell fluid-filled by an incompressible, inrotational and non-viscous fluid are analyzed. The internal fluid is described by a velocity potential and the effects of the fluid ́s free surface on the non-linear vibrations of the cylindrical shell are considered. The non-linear equations of motion are obtained by the Rayleigh-Ritz method, considering the deformation field and changes of curvature described by the nonlinear theories of Donnell and Sanders. The chosen displacement field of the cylindrical shell corresponds to a modal solution proposed by Gonçalves (1987) that were obtained by the perturbation method. A parametric study is carried out to analyze the free vibrations, using the Galerkin-Urabe method to obtain for each geometry a system of non-linear algebraic equations, being solved by the Newton-Raphson method and thus to obtaining a relation between the amplitude and frequency. The results for these analyses show that depending on the geometric conditions there is a great influence of the free surface consideration on the nonlinear dynamic behavior of the cylindrical shell. Finally, a study of the forced vibrations of cylindrical shells subjected to time-dependent lateral pressure is made applying the fourth-order Runge-Kutta method to solve the second-order differential equations in time in order to find the phase portraits and the time response of the cylindrical shell. The influence of the consideration of the free surface effect of the internal fluid on the forced response of the cylindrical shell is observed and it is possible to note that the consideration of the free surface causes the appearance of important peaks of resonance in the resonance curves of the cylindrical shell.