International Journal of Applied Research
Vol. 2, Issue 12, Part C (2016)
Forced harmonic vibrations in a viscoelastic layered bodies lying deformable half-plane
Safarov Ismail Ibrahimovich, Boltayev Zafar Ixtiyarovich, and Akhmedov Maqsud Sharipovich
We consider vibrations of a mechanical system consisting of viscoelastic layers lying on the half-plane and being in plane strain under the influence of vertical harmonic load. Required to find the vertical and horizontal movement 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.