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PARAMETRIC INSTABILITY OF MULTI-LAYERED SANDWICH BEAMS

โœ Scribed by K. Ray; R.C. Kar

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
500 KB
Volume
193
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

The present work deals with the parametric instability of multi-layered symmetric sandwich beams with alternate elastic and viscoelastic layers, subjected to periodic axial load. The equations of motion and boundary conditions are derived by applying Hamilton's principle, and the general Galerkin method is utilized to convert the equations of motion into a set of coupled Hill's equations with complex coefficients in the time domain. Numerical results are obtained for beams having three, five and seven layers. The effects of the shear and core-thickness parameters on the fundamental static buckling load are discussed. The effects of the shear and core-thickness parameters as well as the core loss factor upon the regions of parametric instability are considered. Zones of instability are obtained for the cases in which beams with various number of layers have the same weight or size or flexural rigidity. Finally, for the criteria of constant size and flexural rigidity as well as constant weight and flexural rigidity, the effects of various parameters on the stability of the system are studied.

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