Influence of modal coupling on the nonlinear vibration of cylindrical panels
Frederico Martins Alves da Silva1; Henrique Araújo Rodrigues Sattler1; Zenón José Guzmán Núñez del Prado1; Paulo Batista Gonçalves2
1 Federal University of Goiás; 2 Pontifical University Catholic of Rio de Janeiro
doi:10.20906/CPS/COB-2015-0118
Resumo
This work analyzes the influence of modal coupling on the nonlinear forced vibrations of a cylindrical panel simply supported and excited by a transversely time dependent load. The cylindrical panel is modeled by the nonlinear Donnell shell theory. The lateral displacement field is determined by a perturbation procedure and the axial and circumferential displacement fields are described in terms of lateral displacement, thus generating a precise low-dimensional model. A general expression for the nonlinear vibration modes is provided in this paper, satisfying all boundary conditions. The discretized equations of motion are obtained by applying the Galerkin method. Various numerical techniques are employed to obtain the cylindrical panel resonance curves and bifurcation scenario. The results show the influence of geometry and nonlinear modal coupling on the nonlinear response of the cylindrical panels.
Palavras-chave: cylindrical panels; modal coupling; nonlinear dynamics