Abstract
Abstract The stability analysis of a two-layer elastic beam resting on a variable Pasternak foundation subjected to an axial pulsating load and one dimensional thermal gradient is investigated for two different boundary condition. The equation of motion and boundary conditions are derived using extended Hamilton’s principle. A set of Hill’s equation is derived using generalized Galerkin’s method. The static buckling loads are determined from Hill’s equation. The zones of parametric instability are obtained using Saito-Otomi conditions. The effect of elastic foundation parameter, modulus ratio and thermal gradient parameter on the static buckling load and zones of parametric instability is analyzed. The analysis is done for two different boundary condition: Pinned-Pinned and Guided-pinned. The effects are presented as a series of graphs using required MATLAB program.
Published Version
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