Non-linear behaviour of free-edge shallow spherical shells: effect of the geometry

DOI10.1016/J.IJNONLINMEC.2005.12.004zbMath1160.74362OpenAlexW1970153212MaRDI QIDQ1018809

J. Martínez

Publication date: 22 May 2009

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://hal-ensta-paris.archives-ouvertes.fr//hal-00838885/file/2006-IJNLM_shellGeometryHardSoftB.pdf

zbMATH Keywords

internal resonancenon-linear normal modeshardening/softening behaviourshallow spherical shells

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Shells (74K25)

Related Items (8)

Nonlinear vibrations of free-edge thin spherical shells: experiments on a \(1:1:2\) internal resonance ⋮ Instability in the transformation between extensional and flexural modes in thin-walled cylindrical shells ⋮ Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures ⋮ Non-intrusive reduced order modelling for the dynamics of geometrically nonlinear flat structures using three-dimensional finite elements ⋮ Reduced-order models for large-amplitude vibrations of shells including in-plane inertia ⋮ Direct finite element computation of non-linear modal coupling coefficients for reduced-order shell models ⋮ Effect of imperfections and damping on the type of nonlinearity of circular plates and shallow spherical shells ⋮ Dynamics of the wave turbulence spectrum in vibrating plates: A numerical investigation using a conservative finite difference scheme

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