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DINAME2019
DINAME2019
Nonlinear vibrations analysis of functionally graded material cylindrical shells resting on a partial elastic foundation
Submission Author:
Frederico Martins Alves da Silva , GO , Brazil
Co-Authors:
Patrícia Corrêa Rodrigues, Frederico Martins Alves da Silva
Presenter: Frederico Martins Alves da Silva
doi://10.26678/ABCM.DINAME2019.DIN2019-0006
Abstract
In this work the resonance curves of a functionally graded cylindrical shells containing a axial flow fluid and resting on a partial elastic foundation are analyzed. The cylindrical shell's equilibrium equation is obtained considering the nonlinear Donnell's shallow shell theory. The axial flow fluid is described as inviscid, irrotational and incompressible being represented by a velocity potential. Pasternak model is used to evaluate the reaction of the elastic medium in a discontinuity region of the domain that it is described by Heaviside functions. The transversal displacements field is obtained by pertubation procedure and it is applyed to discretize the equilibrium equations by the standard Galerkin method. Backbones and resonances curves are used to identify the nonlinear forced behavior of a FGM shell conveying fluid and surrounded by a discontinuous elastic foundation. The results show that in all analyzed cases the backbone curves have a softening type behaviour. Also, it is found that the elastic foundation discontinuity modifies the nonlinear behavior, increasing the nonlinearities and changing the stable and unstable paths, as well as modifying the maximum vibration amplitudes of stable solution.
Keywords
cylindrical shell, FGM, elastic foundation, nonlinear vibrations
