Abstract
Abstract The static and dynamic stability of a pinned-pinned asymmetric tapered sandwich beam with viscoelastic core resting on a variable Pasternak foundation under the action of a pulsating axial load and a steady, one-dimensional temperature gradient is studied. A set of Hill's equations are obtained by using the Hamilton's principle and general Galerkin's method. The zones of instability are obtained by using Saito-Otomi conditions. The effects of taper parameter, shear parameter, thermal gradient, geometric parameter, core-loss factor and core-density parameter on static buckling loads and principal regions of instability are investigated.
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