The effect of harmonic waves of a buried multilayer pipeline in a viscoelastic medium

In this paper the stress-strain state of a buried pipeline in a viscoelastic medium under the influence of harmonic waves is considered. Here much attention is paid to the long-wavelength and low-frequency analysis and dynamic behavior of a long cylindrical shell (continuous pipeline) located in a viscoelastic medium. The relationship between stress and strain satisfies the hereditary Boltzmann-Voltaire integral. The equations of motion of the environment satisfy the Lame equations with operator coefficients. The conditions of rigid (or sliding) contact are set on the contact. At infinity, the Sommerfeld radiation conditions are set. Techniques and an algorithm for the analytical solution of the problem have been developed. Based on the shell theory, it is shown that the dynamic forces of the hoop and axial stresses arising in the shell due to longitudinal (or transverse) traveling harmonic waves depend significantly on the ratio of the stiffness of the pipe and the surrounding soil. The results of stresses and forces, respectively, in the environment and the shell, depending on the direction of the incident waves, are presented for various values of Poisson's ratios and stiffnesses of soil and pipe materials.

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