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IASS-SLTE Symposium 2014: Shells, Membranes and Spatial Structures: Footprints


IASS Symposium 2014

SESSION: Latin-American Symposium on Tension Structures

Análise da vibração livre não-linear de cascas cilíndricas com gradação funcional: consideração do fluido interno e de efeitos térmicos

< Table of Contents for Latin-American Symposium on Tension Structures
  • Proceedings Name: IASS-SLTE Symposium 2014: Shells, Membranes and Spatial Structures: Footprints
  • ISSN: (Electronic Version) 2518-6582
  • Session: Latin-American Symposium on Tension Structures
  • Title: Análise da vibração livre não-linear de cascas cilíndricas com gradação funcional: consideração do fluido interno e de efeitos térmicos
  • Author(s): Frederico M. A. SILVA, Roger Otávio P. MONTES, Zenón J. G. N. DEL PRADO, Paulo B. GONÇALVES
  • Keywords: cylincrical shellls, functional gradation, fluid-structure interaction, thermal effects, frequency-amplitude relationship
Abstract
In this work the non-linear free vibrations of a simply supported cylindrical shell made of a functionally graded material are analyzed using Donnell and Sanders nonlinear shell theories, considering an internal fluid and thermal effects. The fluid is assumed to be incompressible, non-viscous and irrotational. Thus, it is possible to describe its effects by a velocity potential. First, to discretize the shell, the transversal displacement field, which is determined by a perturbation procedure and takes into account the coupling between non-linear vibration modes and the linear vibration mode, is derived. Then it is used, together with Donnell theory, to obtain analytically the compatible axial and circumferential displacement fields. These displacement fields satisfy the boundary and continuity conditions of the shell. Next, the obtained displacement field is assumed as an optimal modal solution for both Donnell and Sanders theories and the set of discretized equations of motion are obtained by the Galerkin method. Several numerical tools are applied to investigate the influence of shell geometry, internal fluid, thermal effects and functionally graded material on the shell´s frequency-amplitude relation.

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