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Within the framework of the linearized theory of elasticity, as exemplified by the
problem of the shear harmonic oscillations of the pre-stressed functionally graded layer, the
influence of the type of inhomogeneity and of the character of the initial stressed state on the
distribution of the displacements with depth is investigated. The initially deformed state is
assumed to be homogeneous, the inhomogeneity of the initial stresses is caused by the change
of the material properties. The transformation of the displacements with depth for different
oscillation frequencies of the layer under the conditions of the equal and arbitrary intensity of
the change of properties is demonstrated. The possibility to dampen the amplitude of
displacements at the definite frequencies by means of changing the initial actions is
established.
Keywords: linearized theory of elasticity; shear harmonic oscillations; pre-stressed functionally graded layer; inhomogeneity |
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