Abstract
The vibration-absorbing properties of the plate under the action of a spherical harmonic wave in the soil are studied. In the soil model, an elastic isotropic medium is used. The main goal is to determine the total vector field of accelerations. The mathematical formulation of the problem includes the assignment of the incident wave, the equations of motion of the soil and the plates, the boundary conditions for the slab and the soil, the conditions at infinity, and the conditions of contact of the earth with the obstacle, where we neglect the connection of the plate to the ground. The motion of the plate is described by the system of equations of Paimushin V.N. The kinematic parameters of the plate and the parameters of the disturbed stress-strain state of the soil are represented in the form of double trigonometric series satisfying the boundary conditions. After that, the constants of integration, displacement and vibration acceleration are determined.
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Lokteva, N.A., Tarlakovskii, D.V. (2019). Determination of Vibrations at Different Points in the Ground After the Passage of a Spherical Wave Through a Vibration-Absorbing Obstacle. In: Gdoutos, E. (eds) Proceedings of the First International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2018. Structural Integrity, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-91989-8_86
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DOI: https://doi.org/10.1007/978-3-319-91989-8_86
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