Harmonic Oscillations of Dissipative Viscoelastic Layered Bodies on a Deformable Half-Plane

Safarov I. I

Harmonic Oscillations of Dissipative Viscoelastic Layered Bodies on a Deformable Half-Plane

Keywords : oscillations, dissipative heterogeneous system, half space, viscoelastic body, frequency, voltage.


Abstract

Vibrations of a mechanical system, consisting viscoelastic layers, lying on the half-plane and being in plane strain under the influence of vertical harmonic load is considered. Required to find the vertical and horizontal motion and tension layers and half-points. The dynamic state of each of the laminated body, and half by the equations of Lame continuum mechanics with operator coefficients. The problem is reduced to solving a system of non-homogeneous algebraic equations with complex coefficients, which is solved by Gauss. The change in amplitude displacements and stresses as a function of frequency. In studies of the dynamic stress - strain state introduced the concept of global resonance amplitude (providing the minimum value of the resonant amplitude), which changes radically to nonuniform mechanical systems.

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