Nonlinear vibrations of a pre-stressed laminated thin plate

In this communication, we present the numerical analysis of nonlinear vibrations of a pre-stressed, laminated, thin, square plate. The laminate is modeled as an isotropic nonlinear plate with effective elastic properties and the model is validated experimentally. The geometrically nonlinear vibratio...

Full description

Saved in:
Bibliographic Details
Published in:International journal of mechanical sciences 2006-04, Vol.48 (4), p.451-459
Main Authors: Crabtree, O.I., Mesarovic, S.Dj, Richards, R.F., Bahr, D.F., Richards, C.D.
Format: Article
Language:English
Subjects:
Geometric nonlinearity
Lamination
Membrane
Plate
Vibrations
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this communication, we present the numerical analysis of nonlinear vibrations of a pre-stressed, laminated, thin, square plate. The laminate is modeled as an isotropic nonlinear plate with effective elastic properties and the model is validated experimentally. The geometrically nonlinear vibrations are analyzed using the finite difference method, and the time integration technique based on the Newmark method combined with the fixed-point iterations to satisfy compatibility. The system exhibits behavior similar, but not identical, to the standard Duffing oscillator. Superharmonics are examined using phase space representation, Fourier transforms, deflection history, and centerline deflection shapes. The deflection shapes show significant presence of higher order spatial harmonics.
ISSN:0020-7403
1879-2162
DOI:10.1016/j.ijmecsci.2005.10.001