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DINAME2019
DINAME2019
Non Linear Vibrations of Axially Loaded Viscoelastic Cylindrical Shells
Submission Author:
Zenon Jose Guzman Nunez del Prado , GO
Co-Authors:
Zenon Jose Guzman Nunez del Prado, Nickollas Pereira Martins
Presenter: Zenon Jose Guzman Nunez del Prado
doi://10.26678/ABCM.DINAME2019.DIN2019-0167
Abstract
In this work the non linear vibrations of both axially and lateral loaded simply supported viscoelastic cylindrical shells are studied. For this the Donnell’s non-linear shallow shell theory is used to model the shell, assumed to be made of a Kelvin-Voigt material type, and a modal solution with six degrees of freedom is used to describe the lateral displacements. The Galerkin method is applied to derive a set of coupled non-linear ordinary differential equations of motion. The influence of shell geometry, load and dissipation parameter are studied and special attention is given to parametric instability boundaries and bifurcation diagrams. Obtained results show that shell geometry together with the viscoelastic dissipation parameter have strong influence on the nonlinear dynamic behavior of the shells as displayed in parametric instability boundaries and bifurcation diagrams.
Keywords
Cylindrical shells, Viscoelastic material, nonlinear vibrations
