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Nonlinear damped vibrations of simply-supported rectangular sandwich plates

✍ Scribed by Z. O. Xia; S. Łukasiewicz

Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
807 KB
Volume
8
Category
Article
ISSN
0924-090X

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✦ Synopsis

The nonlinear, forced, damped vibrations of simply-supported rectangular sandwich plates with a viscoelastic core are studied. The general, nonlinear dynamic equations of asymmetrical sandwich plates are derived using the virtual work principle. Damping is taken into account by modelling the viscoelastic core as a Voigt-Kelvin solid. The harmonic balance method is employed for solving the equations of motion. The influence of the thickness of the layers and material properties on the nonlinear response of the plates is studied.

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Geometrically nonlinear free vibrations of symmetric rectangular honeycomb sandwich panels with simply supported boundaries at the four edges are investigated using the homotopy analysis method (HAM). The honeycomb core of hexagonal cells is modeled as a thick layer of orthotropic material whose par